Supplementary Information A novel molecular index for secondary oil migration distance Liuping Zhang1, Maowen Li2, Yang Wang3, Qing-Zhu Yin4, Wenzheng Zhang5 1 Key Laboratory of Petroleum Resource, Institute of Geology and Geophysics, Chinese Academy of Science, 19 Beitucheng W. Road, Chaoyang District, Beijing 100029, China, 2 Sinopec Key Laboratory of Petroleum Accumulation Mechanisms, Sinopec Research Institute of Petroleum Exploration and Production, 31 Xueyuan Road, Beijing 100083, China, 3 Department of Earth, Ocean and Atmospheric Science, Florida State University, and National High Magnetic Field Laboratory, Tallahassee, FL 32306-4100, USA, 4 Department of Geology, University of California at Davis, One Shields Avenue, Davis, CA 95616, USA, 5 Changqing Oilfield Company, PetroChina, Xi’an, Shanxi 710021, China. Correspondence and requests for materials should be addressed to L.Z. ([email protected]) Contents Model for migration fractionation and source input influences……………..…………….1 Multiple charging and oil volume……………………………………….…………………...7 Supplementary data for the Xifeng Oilfield of the Ordos Basin…………………...…….11 Supplementary data for the Rimbey-Meadowbrook reef trend of the central Alberta……………………………………………………….………………………………17 Figure S1 Cross plot of Pr/n-C17 vs. Ph/n-C18 ratio of the studied oil samples……………….12 Figure S2 Ternary diagram of 20R- and regular steranes of the studied oil samples.…..12 Figure S3 Variation in the T23/Hop and Ts/(Ts+Tm) ratios of the studied oils in the sand body of the Xifeng Oilfield.……………………………….. ………………………………...….14 Figure S4 Variation in the aromatic hydrocarbon ratios of the studied oils in the sand body of the Xifeng Oilfield.……………………………………………………………………...15 Figure S5 Schematic structural cross section showing the distribution of oil, gas and water in the Leduc reefs of east-central Alberta……………………………………………………….18 Figure S6 Distributions of benzocarbazoles, SMFIs and ratios in the studied oils along the Rimbey-Meadowbrook reef trend of the central Alberta…………………………………..21 Table S1 Saturate/aromatic hydrocarbon ratio and saturate GC data for the studied oil samples from the Xifeng Oilfield……………………...……………………………………..23 Table S2 Molecular parameters calculated from the GC-MS analysis of the saturate fractions for the studied oil samples in the Xifeng Oilfield………………………….……….24 Table S3 Molecular parameters and Ro(equiv.) calculated from the GC/MS analysis of the aromatic hydrocarbon fractions for the studied oils in the Xifeng Oilfield……………...…...25 Table S4 Concentrations of carbazoles and ACA/ABCA ratio calculated from the GC-MS analysis of the pyrrolic nitrogen fractions for the studied oil samples from the Xifeng Oilfield………………………………….…... …………….…... …………….…..... ……….26 Table S5 Calculation results of constants in the model presented in this paper and MII and MFCI values of the studied oils in the Xifeng Oilfield………………………….……….28 Table S6 Concentrations and ratio from the GC/MS analysis of the benzocarbazoles for the studied oils in the Rimbey-Meadowbrook reef trend of the central Alberta……….…29 Table S7 Calculation results of constants in the model presented in this paper and MII and MFCI values of the studied oils in the Rimbey-Meadowbrook reef trend of the central Alberta…………………………………...………………………………….…...…………....30 References…………………………...………………………………….…...……..……....31 Model for migration fractionation and source input influences The general advection-reaction-dispersion equation for the concentration variation of a molecular compound in a liquid (herein petroleum) during migration in porous media can be written as1,2 (nso C ) C (nso DL ) (nso vC) w t x x x (S1) where C =concentration of a compound (mg/cm3); t =time of liquid migration (year); x = migration distance (km); v = liquid migration velocity (km/year); D L = dispersion coefficient (km2/year); n =porosity of the carrier bed (%); so = oil saturation (%); w =concentration variation arising from sorption, partition between petroleum and water, and chemical reactions. Dispersion in Equation (S1) includes molecular diffusion and mechanical dispersion and can be expressed by DL De L v (where De is the effective molecular diffusion coefficient, and L the dispersivity)2. Carbazoles are large polar molecules (heavier than 160 Dalton). Their molecular diffusivities are very low in viscous oil in porous media, especially in those with low porosity and permeability. Moreover, the molecular diffusion of these large polar molecules is further diminished by strong sorption of these molecules with their surrounding matrix3. In an interconnected oil reservoir, if molecular diffusion is efficient, concentration differences of carbazoles would be erased. However, the observed large concentration differences of these compounds suggest that molecular diffusion must be very slow (Fig. 3). Therefore, molecular diffusion can be safely neglected4. Mechanical dispersion arises from differences in microscopic migration velocities on pore scales. Under the 1 condition of slow migration, the effect of mechanical dispersion is smaller than that of molecular diffusion1. Lateral migration is very slow, especially in cratonic basins such as the Ordos Basin. Therefore, dispersion effect including molecular diffusion and mechanical dispersion is neglected in this study. For a uniform migration pathway, n , so and v are constant. Then, Equation (S1) reduces to the following equation C C w v t x ns o (S2) As discussed in the introduction of the paper, water soluble compounds are not suitable for secondary migration studies. Polar organic compounds with very low solubility in water must be selected. Under this condition, the partition effect between petroleum and water can be omitted. Secondary petroleum migration in carrier beds in the up-dip direction results in decreases in temperature and this holds back, or slows down, the thermal evolution of oils. Therefore, it is reasonable to assume that thermal evolution of oils ceases once they are expelled from source rocks. In this scenario, we assume that only sorption occurs during secondary migration. Then, w can be described as2 w (n s s F ) t (S3) where ns 1 n (%); s = the density of solids (g/cm3); F = the amount of sorption (mg/g). Substitution of Equations (S3) into (S2) yields the advection-sorption equation: C C ns s F v ( ) t x t nso (S4) 2 Sorption of carbazoles in migration systems can approach equilibrium on geological time scales4, as the low velocity of secondary petroleum migration allows sufficient time for the establishment of at least local equilibrium5. Equilibrium sorption can be described by either a linear isotherm model or non-linear isotherm models6. The linear isotherm model is valid for natural systems where concentrations of adsorbable compounds are low enough (details discussed in the paragraphs after Equation (S25)), and is represented by the following equation2: F so K d C (S5) where K d = sorption coefficient (cm3/g). Substitution of Equation (S5) into (S4) yields C C ns so s K d v ( C) t x t nso (S6) Equation (S6) shows that the impact of oil saturation so is canceled from the numerator and denominator in the last term. This illustrates that oil saturation does not need to be considered for a uniform migration pathway. Assuming that (ns s K d / n) does not change with time during secondary petroleum migration, Equation (S6) can be rewritten as (1 ns s C C Kd ) v n t x (S7) Let Rd (1 ns s Kd ) n (S8) where Rd is the retardation factor (a dimensionless parameter) under the condition of the linear isotherm sorption2,7. Due to sorption, the migration velocity of an adsorbable compound in oil ( vc ) becomes slower than the oil migration velocity ( v ). This phenomenon can be described by the retardation equation7: 3 vc v Rd (S9) It was the difference in migration velocity of various adsorbable compounds that results in the migration fractionation of these compounds. As shown in Equations (S8) and (S9), the larger the sorption coefficient ( K d ) of a compound, the slower its migration velocity. Substitution of Equation (S8) into (S7) yields Rd C C v t x (S10) For the boundary condition, we have C( x, t ) x0 C0 (t ) (S11) where C0 (t ) is the initial concentration of a carbazole in oil at the filling point (i.e. start point of secondary petroleum migration) and incorporates information on source inputs, specifically the concentration of a carbazole generated from its source rock and any fractionation during primary migration (expulsion). Concentration variations of carbazoles from carbonate source rocks are clearly maturity related and are not an effect of primary migration8-10 . The primary migration fractionation of carbazoles from clastic source rocks may become significant. However, the primary migration fractionation index (the ratio of the concentration at generating points to that at filling points) is nearly constant for a certain compound, because the pathway of primary migration does not vary greatly with time in a narrow Ro (vitrinite reflectance) range at the expulsion stage in a given region. Therefore, the initial concentration of a carbazole in oil at the filling point, C0 (t ) , is dominantly controlled by the maturity of the source. Concentrations of both alkyl- and benzocarbazoles in source rock extracts vary steadily with maturity over the range of 0.45-1.3% in Ro 8. The 4 oils in the reservoirs close to source rocks can also provide information about the initial concentrations. These oils still show steady variations over the Ro range of 0.49-0.92% (ref. 11). A quadratic equation can describe most of these variations and a cubic polynomial is sufficient to describe the most complex ones. Over a narrow Ro (quiv.) range such as 0.7–0.8% (Ro~0.1%) in the Xifeng Oilfield (Table S3), the relationship between C0 (t ) and Ro (or Ro (equiv.)) becomes linear: C0 (t ) a1 (1 a2 Ro ) (S12) where Ro (a maturity variable) is a function of time for a given type of source facies, to represent the values of both vitrinite reflectance and its calculated equivalent; a1 and a2 are constants. The parameter a1 (with a unit of mg/cm3) reflects geochemical processes of hydrocarbon generation and fractionations in primary migration or migration before a reference point, whereas a2 is a scaling factor, reflecting the rate of change of initial concentration with Ro and is therefore dimensionless. If a2 >0, C0 (t ) increases with Ro ; a2 <0, C0 (t ) decreases with Ro . If Ro changes over a larger range (Ro>>0.1%) a quadratic of Ro (i.e. a4 Ro 2 , where a4 is a dimensionless constant) should be added in the parentheses on the right hand side of Equation (S12). Using the method of separation of variables12, let C ( x, t ) T (t ) X ( x ) (S13) Substitution of Equation (S13) into (S10) yields ln T (t ) v ln X ( x) t Rd x (S14) In Equation (S14), the left side is a function of time; the right side a function of migration distance. Equation (S14) is valid only when both sides are equal to a constant12. Setting this constant to (with a unit of year-1), we can obtain 5 T (t ) e t D1 (S15) X ( x ) e Rd x / v D2 (S16) where D1 and D2 are dimensionless constants. Substituting Equations (S15) and (S16) into (S13), we can obtain the solution to Equation (S10): C ( x, t ) e t Rd x / v H (S17) where H D1 D2 . If 0 , then C ( x, t ) C0 (t ) e H (S18) Yang et al (2005)4 tried to analyze factors influencing the distribution of phenol and carbazole compounds but did not address source input influences. In their pivotal model (Equation (33) in Yang et al. (2005)4), the tracer concentration during migration of large polar compounds is constant and the same as the initial concentration at the filling point, which is equivalent to Equation (S18) because H is a constant. However, in a natural migration system, both C ( x, t ) and C0 (t ) are variable. Therefore, 0 . From Equations (S11) and (S17), we get C ( x , t ) C 0 ( t ) e a3 x (S19) Rd v vc (S20) where a3 The constant a3 (with a unit of km-1) controls the extent of migration fractionation. Substitution of Equation (S12) into (S19) yields C( x, t ) a1 (1 a2 Ro )e a3 x (S21) As defined in Equation (S12), Ro is a function of time for a given source facies. It is more convenient to use Ro than time, as Ro data can be easily obtained from measuring the 6 reflectance of vitrinite in sediments (or solid bitumens in older Paleozoic successions that lack vitrinite). For this reason, the above equation is rewritten as C ( x, Ro ) a1 (1 a2 Ro )e a3x (S22) As sorption equilibrium is achieved during secondary migration5 and the thermal evolution of the oil either stops or slows down after expulsion (if the basin does not subside substantially), the present concentrations of a carbazole and Ro (equiv.) values of oils can be used to represent C ( x, Ro ) and Ro values during secondary migration in Equation (S22). In addition, concentration values with other units such as µg/g can be directly applied to Equations (S21) and (S22), without any change of these equations. Multiple charging and oil volume The oil volume passing through a carrier bed is increased as a result of multiple charges. Therefore, multiple charging changes the ratio of migrated oil volume to the carrier bed volume, which has been interpreted to affect the applicability of carbazole distributions as migration tracers11. We illustrate in the following that Equation (S22) is applicable to carrier systems with multiple charging if appropriate compounds are selected, via linearization of the Langmuir isotherm model. The Langmuir isotherm model is adopted for sorption of a compound by natural solids from a liquid7,13. In the derivation of the Langmuir model, the kinetic equation can be written as13 dC k1C ( Fs F ) s k 2 F s dt (S23) where k1 and k2 are the rate constants for sorption and desorption, respectively; Fs is the 7 sorption amount at saturation; F is defined in Equation (S3). At equilibrium, dC 0 and dt Equation (S23) reduces to the Langmuir isotherm model13: F Fs bC 1 bC (S24) in which b k1 / k2 . This isotherm model can also be written as F Fs bC (1 F ) Fs (S25) In the Langmuir model, the amount of sorption, F , increases linearly with increasing solute concentration C at low surface coverages. In natural systems, Fs can be invariably an order of magnitude greater than F , and in many cases, many orders of magnitude greater13, when proper tracers are selected. Under this condition, Equations (S24) and (S25) reduce to the linear isotherm model: F Fs bC K d C (S26) We now examine the effect of multiple charging of petroleum in a carrier system. Fo is defined as the amount of equilibrium sorption of a compound from the earlier charging petroleum. At the beginning of the subsequent charging, the kinetic equation can be expressed by dC k1C ( Fs Fo ) s k2 Fo s . dt (S27) dC k1C ( Fs Fe ) s k2 Fe s 0 dt . (S28) At equilibrium where Fe is the sorption amount at the equilibrium for the subsequent charging. Let F Fe Fo (S29) Then 8 Fe Fs bC (1 Fo F ) Fs (S30) From Equation (S27), we can see that if Fo is close to Fs (approaching saturation), additional sorption of the compound in the subsequent charge of petroleum would be insignificant and unnoticeable, while desorption during the subsequent charging would become significant. This phenomenon may also occur under the condition that the concentration of a compound in the earlier charge is greater than that in the subsequent charge. Therefore, in order to ensure sorption, adsorbable compounds with progressively increasing concentrations in multiply charged petroleum system should be selected for secondary migration study. But this condition is not sufficient. Only if C is always low enough in the case of multiple charges of petroleum so that Fo , Fe and F are an order or many orders of magnitude less than Fs , Equation (S30) becomes linear Fe Fs bC K d C (S31) This equation is the same as Equation (S26), indicating that under this condition, one can neglect the influence of the sorption from the former charging on the sorption in the subsequent charging. If petroleum is not saturated in porous media (i.e. so 100% ), Equation (S31) becomes2 Fe so K d C (S32) Equation (S22) is deduced from Equations (S4, S5 and S11) under the assumptions and conditions mentioned above. As Equation (S32) is the same as (S5), Equation (S22) can also be deduced from Equations (S4, S32 and S11) under the same assumptions and conditions. Therefore, Equation (S22) can be applied to carrier systems with multiple charging, when 9 concentrations of the compounds used to study secondary migration are low enough to ensure that the linear sorption isotherm model is valid. If C is not low enough, Equation (S22) may not work even if oil charge is limited or oil volume is small. It is important to select proper compounds for secondary migration study. There are many adsorbable trace compounds in petroleum. Sorption of a trace organic compound may be weakened by competitive sorption of other compounds with stronger sorption capabilities. And if the concentrations of these other compounds with stronger sorption capabilities are very high, their sorption may approach saturation. In this scenario, the sorption of a trace organic compound with relatively weaker sorption capacity cannot be observed as if the saturation of its sorption is approached. Thus, the compounds selected for secondary migration study must have strong enough sorption capacities. However, if the sorption capabilities of the selected compounds are too strong, their sorption can only be observed over a very short distance of the migration pathway. Therefore, both sorption capacities and concentrations of the compounds that may be used for a secondary migration study should be compared with those of the other adsorbable compounds. Properties of carrier systems can also affect sorption of polar organic compounds. Sorption capabilities of carbazoles on minerals in carbonate reservoirs are very low compared to those in clastic reservoirs14. Compounds with stronger sorption capacities should be selected for secondary migration study in carbonate reservoirs in contrast to those in clastic reservoirs. Therefore, properties of carrier systems, the compositions (including concentrations) of adsorbable compounds in petroleum and their sorption capacities should all be considered together in the selection of tracers, to ensure that Equation (S22) or its 10 equivalents are applicable. In addition, the assumptions and conditions for establishing Equation (S22) or its equivalent in the above also need to be considered in a secondary migration study. These include: (1) solubilities of the large polar compounds in water must be very low; (2) thermal evolution of oils expelled from source rocks ceases or slows down after expulsion (if the basin does not subside substantially); (3) the primary migration fractionation index is nearly a constant; (4) the relationship between Ro and the initial concentrations at the filling point or reference point is linear or can be described by a quadratic equation; and (5) migration pathways are nearly uniform or can be treated by dividing them into subsections with constant properties. Supplementary data for the Xifeng Oilfield of the Ordos Basin Consistent source facies Previous studies have demonstrated that the oils in the Xifeng Oilfield were derived from the source rocks in the Chang 7 member15-19. The consistency in the source facies is further examined here. Saturated hydrocarbons are the dominant components of the studied oils, with similar n-alkane distribution patterns, carbon number ranges and pristane/phytane ratios (Table S1). These features may indicate similar source facies, according to the criteria established in Han and Calvin (1969)20 and Hwang et al. (2002)21. The trend in the Pr/n-C17 and Ph/n-C18 cross plot of the studied oils (Fig. S1) also illustrates that these oils are most likely derived from the similar source facies with a mixing type of organic matter22-25. The difference in Pr/n-C17 and Ph/n-C18 ratios with a trend toward the lower left of Fig. S1 are 11 probably a result of maturity change23,25. The relatively low Pr/Ph ratios of the studied oils (0.5-1.0) indicate anoxic depositional environments of source rocks (Table S1). 100 Re du us ne uo ali n s g i rr nd II) Te II/I ne a ( e ri ur Ma xt i M 0.1 n II) (I/ io ct n 0.01 I) (II io 0.1 y at 1 r rit id e gh Hi tu Ma Ox Pr/nC17 10 e lak 1 10 Ph/nC18 Figure S1. Cross plot of Pr/n-C17 vs. Ph/n-C18 ratio of the studied oil samples (trend lines after Peters et al. (1999)23 and Hanson et al. (2000)25). 20R-αααsteranes regular steranes Figure S2. Ternary diagram of 20R- and regular steranes of the studied oil samples. Sterane distributions, which reflect variation in algal input to source rocks, are effective source facies discriminators and are used routinely to group oils21. Homologous distributions of steranes are often expressed in ternary plots to show similarity in source facies among the 12 oils of interest. The ternary plot of C27–C28–C29 20R-ααα and regular steranes from the Xifeng Oilfield display very tight distributions (Table S2 and Fig. S2), demonstrating that these oils were derived from the same source facies. Gammacerane is thought to originate from phototrophic bacteria, which are generally abundant in stratified, saline, lake environments26,27. The low gammacerane/hopane ratios of the studied oils (Table S2) are consistent with freshwater depositional environments and are consistent with these oils having been derived from the same source facies. The molecular characteristics discussed above for the studied oils indicate that the source facies are very consistent and thus there is no need to separate these oils into groups. They also suggest that the source rocks with the organic matter of type II plus type III kerogen in the Chang 7 member were deposited in a freshwater deep lacustrine environment, which is in agreement with the results of Wang et al. (1995)15. Thermal maturity The maturity differences are not reflected by the sterane stereoisomer ratios of the studied oils (i.e., C29 20S/(20R+20S) steranes, C29 αββ/(αββ+ααα) steranes, C29 diasteranes/ C29 regular steranes and C27/C29 steranes), as they have already reached equilibrium values (Table S2). However, Ts/(Ts+Tm) and C23 tricyclic terpane/C30 hopane ratios of the oils (Fig. S3) vary with relative distances (i.e. along the sand body of the Xifeng Oilfield), reflecting changes in the thermal maturity level of the oils28,29. As shown in Fig. S3, large variations occur at the relative locations from 51 to 62 km, in contrast with those in the 62 to 90 km range. Aromatic hydrocarbon fractions of the oils also show the same maturity variation 13 trends (Fig. S4), including TA(I)/TA(I + II) triaromatic sterane and (dibenzothiophene + methyl dibenzothiophene)/ (phenanthrene+methylphenanthrene) values as well as dibenzothiophene/ phenanthrene ratios. 0.20 0.7 Ts/(Ts+Tm) T23/Hop 0.15 0.10 0.6 0.5 0.05 0.00 0.4 45 55 65 75 85 95 Relative distance (km) 45 55 65 75 85 95 Relative distance (km) Figure S3. Variation in the T23/Hop and Ts/(Ts+Tm) ratios of the studied oils in the sand body of the Xifeng Oilfield. T23/Hop: C23 tricyclic terpane/C30 hopane ratio; Ts: C27 18 trisnorneohopane; Tm: C27 17 trisnorhopane. To further constrain the thermal maturity range of the studied oils, we use methylphenanthrene index (MPI-1)30-33 and dimethyldibenzothiophene (DMDBT) index34 to estimate the maturity levels of the studied oils. In Fig. S4 and Table S3, R(MPI-1) values show a remarkable decreasing trend at the locations from 51 to 62 km but a less pronounced change with some scatter from 62 to 90 km. However, 4-MDBT/1-MDBT, 4,6-DMDBT/1,4-DMDBT and TA(I)/TA(I + II) ratios at the locations from 62 to 90 km show clear variation trends (Fig. S4), compared with R(MPI-1). Therefore, the relationship between 4,6-DMDBT/1,4-DMDBT ratios and maturities, Ro (equiv.)= 0.14(4,6-DMDBT/1,4-DMDBT)+0.5734, was employed to estimate the maturities of the studied oils. The calculated Ro (equiv.) values are in a narrow range of 0.69 to 0.77% (Table S3), similar to R(MPI-1), but display a clear trend throughout the Xifeng Oilfield (Fig. 2). 14 0.12 0.11 6.0 TDBT/TPH TA(I)/TA(I+II) 8.0 4.0 2.0 0.07 65 85 105 Relative miragtion distance (km) 2.5 2.0 45 4,6-DMDBT/1,4-DMDBT 3.0 45 (2-+4-MDBT)/1-MDBT 0.09 0.08 0.0 2.0 1.5 1.0 0.5 65 85 105 Relative miragtion distance (km) No.13 1.8 1.6 1.4 1.2 1.0 0.8 0.6 6.0 45 65 85 105 0.80 45 Relative miragtion distance (km) 5.0 65 85 105 Relative miragtion distance (km) R(MPI-1) (%) 4-MDBT/1-MDBT 0.10 4.0 3.0 0.75 0.70 2.0 1.0 0.65 45 65 85 105 Relative distance (km) 45 65 85 105 Relative distance (km) Figure S4. Variation in the aromatic hydrocarbon ratios of the studied oils in the sand body of the Xifeng Oilfield. TA(I)/TA(I + II): C21+22/C21+22+26+27+28-triaromatic steranes; TDBT/TPH: (dibenzothiophene+methyl dibenzothiophene/(phenanthrene+methyl phenanthrene); MDBT: methyl dibenzothiophene; DMDBT: dimethyl dibenzothiophene; R(MPI-1)= 0.60(MPI-1)+0.37; MPI-1= 1.5(2-MP+3-MP)/(P+1-MP+9-MP)30; MP: methyl phenanthrene, P: phenanthrene. The 4,6-DMDBT/1,4-DMDBT ratio of Sample No. 13 is extremely high but the other maturity parameters do not show any abnormality at this location (Figs. S3 and S4). Thus, the 4,6-DMDBT/1,4-DMDBT ratio of this sample is considered an outlier and was not used to calculate the Ro (equiv.) value. Instead, the Ro (equiv.) value of this sample was estimated 15 by using the regression equation shown in the upper part of Fig. 2 and the relative distance x of this sample in Table S1. This regression equation was computed from the calculated Ro (equiv.) values and relative distances of all samples (except Sample No. 13) at the relative locations from 51 to 62 km. The source rocks in the Chang 7 member have thermal maturities (represented by the measured Ro values) of 0.75-0.96%19. The maturities calculated from both MPI-1 and 4,6DMDBT/1,4-DMDBT (Table S3) are slightly lower than the present kerogen vitrinite reflectance of the source rocks. After oil was expelled from source rocks to shallow locations, maturation of source rocks continued but maturation of the expelled oils would have stopped or slowed down if the basin did not subside substantially. Therefore, the differences in maturities between the oils and the source rocks support our assumption about thermal evolution of oils and the migration from the source rocks to the reservoirs of the Xifeng Oilfield. Biodegradation level Several authors have compiled a ‘quasi-stepwise’ sequence to describe the general order of susceptibility of various biomarker compound classes to biodegradation, mostly following the sequence: n-alkanes (most susceptible) > acyclic isoprenoids > steranes > hopanes > diasteranes > aromatic steroids (least susceptible)27,35-37. The aliphatic hydrocarbons in the Xifeng Oilfield are characterized by the presence of a full range of n-alkanes throughout the reservoir (Table S1). The extent of biodegradation in the Xifeng Oilfield should be at level 0 on the biodegradation scale of Peters and Moldowan (1993)27 and the ultimate Manco (Modular Analysis and Numerical Classification of Oils)38 numbers are 0. 16 At the molecular level, (Pr+Ph)/n-C17+18 and C30αβ hopane/(Pr+Ph) have been used to quantitatively indicate the degree of biodegradation in petroleum. When the highly sensitive biodegradation ratio (Pr+Ph)/n-C17+18 exceeds 2, it is indicative of significant biodegradation of carbazoles; while the C30 αβ hopane/(Pr+Ph) ratio, when > 5, indicates that alkylcarbazoles may have been affected by biodegradation39. As the (Pr+Ph)/n-C17+18 and C30αβ hopane/(Pr+Ph) ratios of the studied oils are less than 0.6 and 0.2, respectively (Tables S1 and S2), the biodegradation effect on carbazoles is considered to be negligible. Supplementary data for the Rimbey-Meadowbrook reef trend of the central Alberta The petroleum reservoirs along the Rimbey-Meadowbrook reef trend belong to the Late Devonian Woodbend Group (Fig. S5). It consists of, in ascending order, a thick sequence of shallow water platform carbonates (Cooking Lake Formation), numerous platform margin reef buildups (Leduc Formation), and basin-filling shales and limestones (Duvernay and Ireton Formations). The Cooking Lake and Leduc Formations along the central core of the reef trend are extensively dolomitized, and thus the Leduc biohermal buildups are connected to the underlying Cooking Lake aquifer to a varying extent40,41. The Duvernay Formation, one of the most important sources of conventional oil within the Alberta portion of the Western Canada Sedimentary Basin, is thought to be the source for all of the oils in Leduc and Nisku reservoirs along the Rimbey-Meadowbrook reef trend42,43. The stratigraphic association also illustrates that the crude oils along this reef trend are derived from Duvernay source rocks, as no other prolific sources are present in the area which could contribute significantly to Leduc 17 reservoirs (Fig. 2 in Li et al., 1998)44. The Duvernay Formation comprises two principal interbedded lithofacies: (1) nodular to nodular-banded lime mudstones that exhibit varying degrees of bioturbation and indicate relatively oxygenated conditions in the water column and sediments, and (2) laminated lime mudstones that contain fine carbonate material and organic rich layers (up to 20% total organic carbon) deposited in deep water, euxinic conditions28,45. Figure S5 Schematic structural cross section showing the distribution of oil, gas and water in the Leduc reefs of east-central Alberta44. Oil and gas along the Rimbey-Meadowbrook reef trend are found in both Leduc and Nisku reservoirs. The preproduction distribution of oil and gas along the reef trend shows two general patterns (Fig. S5): (1) gas is in general present in the more down-dip reservoirs (Homeglen-Rimbey to Bonnie Glen) while oil is present in up-dip reservoirs (Acheson, Big Lake and St. Albert); (2) most of the down-dip reservoirs are filled to their spill points (from Homeglen-Rimbey to Bonnie Glen). It was these two general patterns that formed the key 18 evidence for the Gussow Theory of differential entrapment involving long distance migration46-48 , which explains why gas is preferentially trapped close to the hydrocarbon source kitchen while oil is preferentially trapped along the basin margins. This theory is considered important in petroleum geology, but is still being debated as there are discrepancies between the hydrocarbon distributions observed in this reef trend and those predicted by the differential entrapment model44. Several researchers have proposed concepts such as "leaky pipeline"49 and "leaky caprock"50 to explain why certain reservoirs do not contain an expected gas cap or are not filled to their spill points. However, their evidence is not sufficient to support the Gussow Theory because definitive migration fractionations related to secondary petroleum migration of long distance along the reef trend have not been demonstrated for most oils. The oil samples were collected along the reef trend and analyzed using the same methods as in the Xifeng Oilfield. The oils along the trend clearly fall into two subfamilies as shown in the C23 tricyclic terpane/hopane-Ts/(Ts + Tm) plot (Fig. 6 in Li et al., 1998)44. In this study, we focused on the second subfamily as it contains most of the oils in the trend and there are no clear relationships of either the concentrations or the ratios of carbazoles with relative migration distances. To ensure the consistency of source facies, we re-examined the geochemical data and found that four samples (Nos. 868, 1824, 869 and 867 in Table 4 in Li et al. (1998)44) of this subfamily had extremely high C23 tricyclic terpane/hopane ratios. These four samples are thus excluded from the second subfamily. The remaining samples of this subfamily are listed in Table S6 with their equivalent vitrinite reflectance values calculated from MPI-130. 19 There are two possibilities regarding the secondary migration of the oils in the build-up44: the first one is that the petroleum in this trend came from the adjacent source rocks in the Duvernay Formation; the second is that the petroleum accumulated as the result of long distance migration from the source kitchen in the Duvernay Formation located to the south west of the Rimbey-Meadowbrook reef trend. The Ro (equiv.) values of the studied oils in Table S6 and the data in Stoakes and Creaney (1984)49 illustrate that the studied oils came from the mature Duvernay source zone. But the source rocks close to these reservoirs or at the depths equivalent to the petroleum reservoirs are immature for hydrocarbon generation8,44. Therefore, the clear difference in maturity between the oils in this buildup and the adjacent source rocks suggests that they were not sourced locally. To investigate the second possibility concerning the secondary migration of the studied oils, we calculated the relative migration distance. The deepest reservoir at the southwest end of the reef trend, Rimbey, was used as the reference point (Fig. S5). The relative distances of petroleum migration in the reef trend were determined using the map distance of each trap to the reference point and are shown in Table S6. Sorption capabilities of carbazoles in carbonate reservoirs are very low compared to clastic reservoirs14. Benzocarbazole data of these oils (shown in Table S6) were re-examined in this paper as benzocarbazoles are much more easily adsorbed than alkylcarbazoles51. The concentrations of benzocarbazoles appear to decrease with increasing relative distance of secondary migration (Fig. S6) but their correlation coefficients are very low. The benzo[a]carbazole/benzo[c]carbazole ratio is expected to decrease with increasing migration distance for net migration fractionation because of preferential removal of the more 20 rod-shaped benzo[a]carbazole relative to the sub-spherical benzo[c]carbazole due to selective sorption of benzocarbazoles from the oil onto minerals in the carrier bed 52. However, the correlation coefficient of this ratio with relative distance is very low. The maturity values of these oils also decrease with relative distance (Table S6). Therefore, it is difficult to directly determine whether the concentration variation of benzocarbazoles along the reef trend arises from migration fractionation or from maturity variation, solely based on distributions of benzocarbazole concentrations and/or their ratio. 10 Y = 32.2e R2 = 0.46 -0.0068X 10 Y = 18.2e 2 R = 0.40 Y = 1.78e R2 = 0.15 100 150 200 250 Relative distance (km) 10 Y = 102.6e R2 = 0.88 -0.0083X 1 0 50 100 150 200 Relative distance (km) 250 -0.0017X 0.1 100 0 50 100 150 200 250 10 0 Relative distance (km) 50 100 150 200 250 Relative distance (km) [a]/[c]BCA SMFI 50 1 -0.0051X 1 100 0 SMFI of Benzo[c]carbazole(%) SMFI of Benzo[a]carbazole(%) 1 10 [a]/[c]BCA 100 Benzo[c]carbazole(μg/g) Benzo[a]carbazole(μg/g) 100 10 Y = 98.8e -0.0048X R2 = 0.63 1 1 Y = 1.04e -0.0035x R2 = 0.46 0.1 0 50 100 150 200 Relative distance (km) 250 0 50 100 150 200 250 Relative distance (km) Figure S6. Distributions of benzocarbazoles, SMFIs and ratios in the studied oils along the Rimbey-Meadowbrook reef trend of the central Alberta. [a]/[c]BCA: benzo[a]carbazole/ benzo[c]carbazole; SMFI:secondary migration fractionation index; [a]/[c]BCA SMFI: ratio of SMFI of benzo[a]carbazole to SMFI of benzo[c]carbazole. Y-axis scales are kept the same to illustrate the improvement of fit (R2 values). All the regression lines were obtained by only using the actually data points without forcing through the reference point. Therefore, they are derived only from the data. Because of the large variations in maturity (0.68-0.87%Ro in Table S6), a quadratic ( a4 Ro 2 ) were added into the parentheses in Equations (S12) and (1), and Equations (2-4) are adjusted accordingly. The non-linear regression analyses were conducted for the constants in our model and then maturity influence index were calculated. Maturity influence index can 21 reach 85.8% (Table S7), showing a strong influence of maturity. Thus, the SMFIs of benzocarbazoles were calculated for these oils and the results are listed in Table S6. Fig. S6 shows that both SMFIs and their ratio are significantly correlated with the relative distance. These demonstrate that most of the oils in the trend migrated long distances from the source kitchen along the Rimbey-Meadowbrook reef trend in the up-dip direction. This is in good agreement with the results of oil-source correlation study including maturities8,44. The slope coefficients in Fig. S6 are lower than those in Fig. 4, which could be explained by the fact that carbazoles have lower sorption capabilities in carbonate reservoirs than in clastic reservoirs. The Rimbey-Meadowbrook reef trend is a classical example used by Gussow (1954)47 to develop his theory of differential petroleum entrapment involving long distance migration in the up-dip direction. The SMFI and maturity data of the reef trend constitute the basic evidence for the Gussow Theory and thus indicate that this theory is generally applicable, because the oils in the up-dip direction in general have longer implied migration distances as demonstrated in Fig. S6. The "leaky pipeline"49 and "leaky caprock"50 concepts explain specific discrepancies between the hydrocarbon distributions observed in this reef trend and those predicted by the differential entrapment theory. These various lines of evidence support that the Gussow principle is reasonable and can be used to guide the exploration of petroleum accumulation fairways. 22 Supplementary Tables Table S1 Saturate/aromatic hydrocarbon ratio and saturate GC data for the studied oil samples from the Xifeng Oilfield*. Sample No. Well Depth RD(km) 1 2 3 X130 D68-54 D58-70 1303.36 1268.02 1325.93 89.85 4 5 6 7 X44-039 X161 X110 X33-26 1278.10 1352.32 1365.11 1387.71 8 9 10 11 X34-023 X28-09 X167 X28-8 1397.27 1409.62 1395.71 1392.21 12 13 14 15 16 17 18 19 X27-17 X27-23 X26-28 X21-25 X30-34 X33-39 X27-35 X29-43 1397.69 1401.56 1406.91 1433.08 1289.22 1407.41 1427.83 1437.54 87.48 84.02 82.59 82.19 78.76 74.54 73.82 67.28 63.79 61.93 59.28 57.26 55.31 54.97 54.58 53.92 53.59 51.48 Sat Crange Arom Cmax nC 21nC 22 1.71 2.29 1.58 11-34 11-31 11-32 20 20 20 1.45 1.44 1.49 2.31 2.64 1.93 1.41 11-31 11-32 11-32 11-34 19 20 20 19 2.30 1.82 2.65 2.31 11-31 11-33 11-31 11-32 1.63 1.22 1.27 2.60 1.82 1.55 1.96 2.51 11-31 11-33 11-32 11-31 11-31 11-32 11-31 11-32 nC 21 22 nC 28 29 Ph/nC18 Pr Ph nC1718 OEP CPI Pr/Ph Pr/nC17 2.18 2.19 2.29 1.02 1.01 1.00 1.09 1.14 1.14 0.901 0.901 0.938 0.452 0.446 0.431 0.504 0.471 0.441 0.478 0.459 0.436 1.41 1.40 1.38 1.44 2.19 2.10 2.16 2.02 1.00 1.02 1.00 0.99 1.12 1.11 1.11 1.13 0.942 0.927 0.915 0.956 0.448 0.439 0.449 0.427 0.451 0.463 0.491 0.436 0.450 0.451 0.470 0.432 19 20 19 20 1.42 1.48 1.45 1.43 2.11 2.15 2.13 2.11 1.01 1.03 1.01 1.03 1.12 1.14 1.10 1.11 0.930 0.724 0.910 0.912 0.419 0.472 0.394 0.391 0.447 0.633 0.431 0.423 0.433 0.554 0.412 0.407 20 20 18 20 19 19 18 20 1.49 1.58 1.61 1.59 1.54 1.43 1.74 1.63 2.28 2.29 2.34 2.36 2.37 1.96 2.50 2.34 1.03 1.01 1.01 1.01 1.00 1.00 1.01 1.01 1.12 1.10 1.10 1.12 1.11 1.10 1.11 1.09 0.915 0.917 0.938 0.923 0.942 0.936 0.957 0.934 0.361 0.348 0.335 0.344 0.343 0.334 0.336 0.324 0.392 0.365 0.344 0.368 0.365 0.361 0.339 0.334 0.376 0.357 0.340 0.356 0.354 0.348 0.337 0.329 *GC: gas chromatography; Depths are in meters below sea level. RD: Relative migration distance; Sat/Arom: ratio of saturates/aromatic hydrocarbons; Crange: distribution range of n-alkanes; Cmax: the n-alkane with the max peak area; nC21-/nC22+ = ≤C21 n-alkanes /≥C22 n-alkanes; nC21+22/nC28+29 = (nC21+ nC22)/( nC28+ nC29); OEP = [Ci+6Ci+2+Ci+6)/ (4Ci+1+4Ci+3)](-1)i+1, i= 24-34,i+2= Cmax; CPI = {(C25+C27+C29+C31+C33) [1/(C24+C26+C28+C30+C32)+1/(C26+C28+C30+C32+C34)]}/2; Pr: Pristane; Ph: Phytane. 23 Table S2 Molecular parameters calculated from the GC-MS analysis of the saturate fractions for the studied oil samples in the Xifeng Oilfield*. % 20R-ααα Steranes % Steranes Sample No. Well 1 2 3 20S 20R Dia Reg Hop St T23 Hop Ts Ts Tm Gam Hop C30H Pr Ph C27 C28 C29 C27 C28 C29 X130 D68-54 D58-70 30.96 30.19 33.87 29.87 29.84 28.85 39.17 39.97 37.28 41.44 43.00 42.23 27.01 25.69 26.55 31.55 31.31 31.22 0.478 0.465 0.452 0.588 0.620 0.605 0.111 0.101 0.096 7.62 7.59 7.08 0.074 0.063 0.071 0.505 0.511 0.512 0.054 0.066 0.060 0.091 0.110 0.098 4 5 6 7 8 9 10 11 X44-039 X161 X110 X33-26 X34-023 X28-09 X167 X28-8 30.47 30.97 29.70 31.05 30.67 31.09 31.81 30.70 29.21 29.22 29.76 29.57 30.44 29.39 29.58 29.20 40.33 39.82 40.54 39.38 38.89 39.52 38.62 40.10 41.83 41.42 40.32 41.11 41.41 43.34 41.36 41.44 25.92 25.61 27.15 26.45 26.67 26.51 26.71 26.01 32.25 32.97 32.53 32.44 31.91 30.16 31.92 32.55 0.466 0.447 0.474 0.443 0.447 0.481 0.458 0.454 0.608 0.613 0.604 0.596 0.589 0.605 0.607 0.602 0.099 0.110 0.094 0.157 0.125 0.108 0.098 0.105 7.64 7.89 7.26 6.49 7.12 5.61 6.88 6.92 0.067 0.064 0.067 0.082 0.075 0.073 0.076 0.078 0.519 0.487 0.499 0.505 0.513 0.448 0.511 0.516 0.067 0.063 0.062 0.061 0.061 0.056 0.068 0.067 0.108 0.116 0.102 0.086 0.096 0.090 0.094 0.086 12 13 14 15 X27-17 X27-23 X26-28 X21-25 30.86 33.15 30.37 30.57 29.27 28.41 30.00 29.56 39.88 38.44 39.63 39.87 41.73 40.33 40.83 40.07 25.91 25.89 25.51 25.15 32.35 33.79 33.66 34.78 0.450 0.449 0.448 0.445 0.591 0.580 0.586 0.585 0.111 0.129 0.130 0.140 5.27 4.39 5.09 5.12 0.107 0.122 0.126 0.111 0.538 0.577 0.597 0.567 0.071 0.068 0.074 0.078 0.058 0.041 0.039 0.046 16 17 18 19 X30-34 X33-39 X27-35 X29-43 32.62 34.21 30.12 31.24 29.36 28.62 30.60 29.98 38.02 37.17 39.28 38.78 42.16 43.03 40.69 42.17 25.74 25.73 26.36 25.90 32.10 31.24 32.95 31.92 0.435 0.464 0.450 0.431 0.589 0.590 0.591 0.610 0.153 0.132 0.127 0.142 4.69 4.67 4.69 4.78 0.146 0.137 0.142 0.135 0.620 0.627 0.615 0.627 0.071 0.071 0.079 0.076 0.038 0.037 0.037 0.033 *GC gas chromatography; MS: mass spectrometry; 20S/20R: C29 20S/(20R+20S) steranes; αββ/ααα: C29 αββ/(αββ+ααα) steranes; Dia/Reg: C29 diasteranes/C29 regular steranes; Reg/Hop: regular steranes/hopanes; Hop/St: hopanes(C27-35)/Steranes (C27-29); Ts/(Ts+Tm): C27 18 trisnorneohopane/(C27 18 trisnorneohopane + C27 17 trisnorhopane); T23/Hop: C23 tricyclic terpane/C30 hopane ratio; Gam/Hop: gammacerane / αβ-C30 hopane; C30αβH: C30αβHopane. 24 Table S3 Molecular parameters and Ro(equiv.) calculated from the GC-MS analysis of the aromatic hydrocarbon fractions for the studied oils in the Xifeng Oilfield*. Sample No. Well MPI-1 MPI-2 R(MPI-1) TDBT TPH 2 - 4 - MDBT 1 - MDBT 4 - MDBT 1 - MDBT 2,4 - DMDBT 1,4 - DMDBT 4,6 - DMDBT 1,4 - DMDBT TA(I) TA(I II) (equiv.) 1 2 3 X130 D68-54 D58-70 0.528 0.547 0.557 0.530 0.594 0.588 0.687 0.698 0.704 0.078 0.085 0.092 1.154 1.573 1.503 2.37 2.68 2.61 0.649 0.801 0.698 0.842 0.902 0.854 0.582 0.638 0.745 0.688 0.696 0.690 4 5 6 7 X44-039 X161 X110 X33-26 0.539 0.535 0.568 0.533 0.564 0.556 0.602 0.546 0.693 0.691 0.711 0.690 0.079 0.097 0.093 0.089 1.035 1.494 1.609 1.350 2.76 2.38 2.57 2.70 0.707 0.702 0.719 0.753 0.836 0.902 0.907 0.952 0.764 0.775 0.794 0.920 0.687 0.696 0.697 0.703 8 9 10 11 X34-023 X28-09 X167 X28-8 0.520 0.543 0.571 0.589 0.522 0.561 0.596 0.614 0.682 0.696 0.713 0.724 0.089 0.096 0.086 0.099 1.326 1.517 1.587 1.619 2.65 2.54 3.05 2.83 0.651 0.733 0.684 0.749 0.879 0.938 0.880 1.003 0.923 0.741 1.007 1.301 0.693 0.701 0.693 0.710 12 13 14 15 16 17 18 19 X27-17 X27-23 X26-28 X21-25 X30-34 X33-39 X27-35 X29-43 0.596 0.635 0.611 0.605 0.628 0.622 0.619 0.640 0.626 0.675 0.623 0.630 0.655 0.645 0.649 0.659 0.727 0.751 0.737 0.733 0.747 0.743 0.741 0.754 0.098 0.103 0.102 0.095 0.105 0.103 0.099 0.108 2.091 2.297 2.353 2.268 2.296 2.129 2.362 2.539 3.49 4.01 4.36 4.48 4.14 3.86 4.32 4.84 0.784 1.283 0.931 0.932 0.965 0.885 0.916 1.009 1.130 1.730 1.321 1.349 1.283 1.292 1.336 1.439 1.747 3.095 9.695 4.644 2.950 3.252 6.275 6.183 0.728 0.812 0.755 0.759 0.750 0.751 0.757 0.771 *GC: gas chromatography; MS: mass spectrometry; MPI-1=1.5(2-MP+3-MP)/(P+1-MP+9-MP); P: phenanthrene; MP: methyl Ro phenanthrene; MPI-2=3(2-MP)/(P+1-MP+9-MP); R(MPI-1)=0.6(MPI-1)+0.37; TDBT/TPH: (dibenzothiophene+methyldibenzothiophene)/(phenanthrene+methylphenanthrene); MDBT: methyl dibenzothiophene; DMDBT: dimethyl dibenzothiophene; TA(I)/TA(I 34 0.14(4,6-DMDBT/1,4-DMDBT)+0.57 ; Ro (equiv.): vitrinite reflectance equivalent. 25 + II): C21+22/C21+22+26+27+28-triaromatic steranes; Ro(equiv.)= Table S4 Concentrations of carbazoles and ACA/ABCA ratio calculated from the GC/MS analysis of the pyrrolic nitrogen fractions for the studied oil samples from the Xifeng Oilfield*. No. Wells CA 1-MCA 4-MCA 1,2-DMCA 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 X130 D68-54 D58-70 X44-039 X161 X110 X33-26 X34-023 X28-09 X167 X28-8 X27-17 X27-23 X30-34 X33-39 X26-28 X21-25 X27-35 X29-43 n.d. 0.31 0.15 0.21 0.20 n.d. 0.66 0.35 0.86 0.42 0.65 0.41 0.33 0.60 0.55 0.65 0.53 0.70 1.35 1.84 1.75 1.37 1.77 1.35 1.25 4.28 2.62 3.08 3.22 3.74 3.50 3.99 4.64 4.18 4.87 4.67 4.82 6.35 0.52 0.85 0.65 0.82 0.70 0.57 1.47 1.09 1.31 1.54 1.89 2.01 2.15 2.42 2.23 2.47 2.29 2.41 2.92 0.29 0.66 0.51 0.69 0.48 0.44 1.56 0.90 1.07 1.23 1.66 1.44 1.63 1.66 1.48 1.93 1.51 1.64 2.07 1,3-DMCA 2.37 3.49 3.08 3.42 3.10 2.84 7.02 4.85 3.96 5.94 6.44 7.05 8.06 8.22 7.19 8.30 7.71 8.09 9.26 1,4-DMCA 2.52 3.57 3.32 3.64 3.11 3.30 6.39 4.69 3.36 5.83 6.21 7.15 8.87 8.93 7.76 8.04 8.18 8.85 9.53 1,5-DMCA 2.40 4.08 3.26 4.09 3.26 3.30 8.02 5.24 4.56 7.06 7.41 8.22 9.98 9.27 9.21 10.03 10.00 10.38 11.40 1,6-DMCA 1,7-DMCA 1,8-DMCA 1.60 2.70 2.23 2.74 2.22 2.01 5.77 3.69 4.04 4.70 5.35 5.14 6.40 6.32 5.67 7.18 6.09 6.32 7.48 1.37 3.00 2.39 2.95 2.28 1.94 6.53 3.90 4.78 4.84 6.15 5.72 6.93 7.21 6.39 7.92 6.85 7.59 8.17 3.58 5.06 4.47 5.02 4.33 4.36 10.02 6.62 4.83 8.16 8.09 10.05 12.26 11.93 10.14 11.20 11.31 12.52 13.31 *ACA/ABCA: alkyl carbazoles/(alkyl- +benzocarbazoles) ratio; GC gas chromatography; MS: mass spectrometry; the unit of concentrations: μg/g; CA, MCA, DMCA, TMCA: carbazole, methyl-, dimethyl- and trimethyl-carbazoles, respectively; n.d.: no data/below detection limits. 26 Table S4 (continued). No. Wells 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 X130 D68-54 D58-70 X44-039 X161 X110 X33-26 X34-023 X28-09 X167 X28-8 X27-17 X27-23 X30-34 X33-39 X26-28 X21-25 X27-35 X29-43 2,3-DMCA 0.13 0.14 0.15 0.16 0.13 0.21 0.30 0.24 0.53 0.48 0.70 0.44 0.44 0.63 0.70 0.95 0.52 0.48 0.76 2,4-DMCA 2,5-DMCA 2,6-DMCA 2,7-DMCA 3,4-DMCA TMCA-A TMCA-B TMCA-C ACA/BCA 0.71 1.29 0.88 1.12 0.99 0.84 2.55 1.52 1.43 2.05 2.54 2.49 3.09 2.74 2.69 3.46 2.73 2.96 3.61 0.69 1.40 1.08 1.36 1.04 0.89 2.89 1.75 1.97 2.24 3.01 2.85 3.36 3.17 2.90 3.96 3.05 3.21 4.06 0.17 0.50 0.37 0.61 0.38 0.24 1.12 0.73 1.71 1.08 1.62 0.99 1.16 1.38 1.32 2.00 1.23 1.29 1.96 0.68 1.46 1.06 1.44 1.15 1.00 2.92 1.73 3.72 2.69 3.12 2.67 3.43 3.43 3.27 4.18 3.19 3.55 4.44 0.15 0.49 0.21 0.22 0.21 0.39 0.86 0.33 0.22 0.80 0.59 0.50 1.30 1.15 1.15 1.34 0.53 0.66 1.38 11.92 17.64 16.52 18.83 15.87 15.93 29.72 20.93 14.23 25.62 24.99 30.45 38.27 35.93 31.38 32.65 33.31 39.07 38.92 8.06 14.23 13.21 14.66 12.38 11.59 24.58 16.42 14.82 21.21 23.17 24.63 31.34 28.52 25.33 29.86 27.45 29.59 33.42 1.24 2.82 2.69 3.43 2.76 2.56 5.15 3.66 5.31 4.84 5.80 5.39 7.01 6.21 5.68 7.62 5.85 6.09 7.59 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.991 1.000 0.999 1.000 0.999 1.000 0.999 0.999 1.000 1.000 1.000 27 Table S5 Calculation results of constants in the model presented in this paper and MII and MFCI values of the studied oils in the Xifeng Oilfield*. Alkylcarbonzoles ln C ln[ a1 (1 a2 Ro )] a3 x RD from 51 to 62 km RD from 62 to 90km a1 a2 a3 MIImin MIImax MIImean MFCImean MIImin MIImax MIImean MFCImean 1-MCA 4-MCA 1,2-DMCA 1,3-DMCA 1,4-DMCA 1,5-DMCA 1,6-DMCA 1,7-DMCA 1,8-DMCA 2,3-DMCA 2,4-DMCA 2,5-DMCA 2,6-DMCA 2,7-DMCA 3,4-DMCA TMCA-A TMCA-B TMCA-C 0.70 1.19 91.66 7.15 1.00 16.57 86.60 143.41 1.14 70.13 0.47 50.60 304.78 196.16 0.51 3.06 3.05 245.08 49.93 20.72 -1.00 6.00 51.17 3.49 -0.62 -0.72 59.99 -1.07 52.85 -0.57 -1.15 -1.02 20.02 50.02 50.02 -1.02 -0.032 -0.039 -0.047 -0.029 -0.029 -0.033 -0.036 -0.040 -0.028 -0.056 -0.034 -0.039 -0.060 -0.046 -0.040 -0.023 -0.026 -0.040 19.52 16.18 32.50 18.32 21.25 14.86 15.99 18.64 21.68 34.11 18.55 13.28 41.94 34.43 15.65 25.32 23.09 37.27 20.42 16.93 36.45 19.04 22.21 15.40 16.67 19.69 22.66 39.50 19.42 13.79 51.12 38.81 16.38 26.40 24.10 41.66 19.95 16.54 34.48 18.66 21.71 15.12 16.34 19.17 22.15 36.78 18.96 13.54 46.41 36.62 16.00 25.84 23.57 39.46 80.05 83.46 65.52 81.34 78.29 84.88 83.66 80.83 77.85 63.22 81.04 86.46 53.59 63.38 84.00 74.16 76.43 60.54 2.11 1.68 3.31 1.93 2.34 1.50 1.47 1.74 2.40 3.42 1.98 1.19 4.37 3.57 1.62 2.92 2.60 4.03 2.18 1.73 3.57 1.98 2.42 1.53 1.51 1.80 2.48 3.76 2.05 1.22 4.99 3.86 1.67 3.02 2.68 4.35 2.15 1.71 3.41 1.96 2.39 1.52 1.48 1.76 2.45 3.55 2.02 1.20 4.60 3.68 1.65 2.98 2.65 4.15 97.85 98.29 96.59 98.04 97.61 98.48 98.52 98.24 97.55 96.45 97.98 98.80 95.40 96.32 98.35 97.02 97.35 95.85 EDMCA sum 430.44 -0.82 -0.044 22.23 23.88 23.06 76.94 2.11 2.21 2.15 97.85 PEDMCA sum 52.22 4.70 -0.032 16.36 16.99 16.66 83.34 1.68 1.72 1.71 98.29 *RD: relative migration distance; MII: maturity influence index (%) calculated from Equation (3); MFCI: migration fractionation contribution calculated from 100-MII (%). The units of a1 and a3 are μg/g and km-1 respectively; a 2 is a dimensionless constant. 28 Table S6 Concentrations and ratio from the GC/MS analysis of the benzocarbazoles for the studied oils in the Rimbey-Meadowbrook reef trend of the central Alberta*. Lab No. RD Ro(equiv.) [a] [c] [a]/[c] SMFI of [a] SMFI of [c] 1832 866 872 863 871 2095 2209 2210 944 860 2097 859 24 70 102 116 118 150 150 150 194 224 224 235 0.87 0.85 0.80 0.85 0.81 0.70 0.83 0.68 0.80 0.76 0.76 0.79 24.53 28.27 21.90 18.74 21.11 5.55 10.45 3.69 12.96 7.96 7.10 8.31 18.17 15.53 12.30 8.96 11.79 4.05 9.25 4.11 14.24 7.04 6.40 4.59 1.35 1.82 1.78 2.09 1.79 1.37 1.13 0.9 0.91 1.13 1.11 1.81 75.33 66.32 39.99 43.96 39.22 23.87 21.03 46.01 23.67 15.58 13.90 15.12 93.92 75.24 58.03 43.43 55.12 37.43 43.37 59.42 67.18 37.29 33.88 22.02 *GC gas chromatography; MS: mass spectrometry; Lab numbers, RD (relative distance) and Ro (equiv.) data are taken from Tables 1 and 2 in Li et al. (1998)44; Ro (equiv.): vitrinite reflectance equivalent. [a] and [c]: benzo[a] and [c]carbazoles; SMFI: secondary migration fractionation index (%). 29 Table S7 Calculation results of constants in the model presented in this paper and MII* and MFCI* values of the studied oils in the Rimbey-Meadowbrook reef trend of the central Alberta ln C ln[ a1 (1 a2 Ro a4 Ro 2 )] a3 x BCA[a] BCA[c] a1 a2 a4 a3 -1767 -478 -2.57 -2.55 1.61 1.56 -0.0076 -0.0048 MIImin MIImax MIImean MFCImean 1.81 5.03 85.76 76.24 30.74 27.86 69.26 72.14 *MII: maturity influence index (%); MFCI: migration fractionation contribution index (%). The units of μg/g and km-1 respectively; a 2 and a4 are dimensionless constants. . 30 a1 and a3 are References 1. Qian, H. & Ma, Z. Hydrologic Geochemistry, Beijing 97-99 (2005). 2. Wu, Y. Contamination Transportation Dynamics in Porous Media, Shanghai 86-93 (2007). 3. Hallmann, C.O.E., Arouri, K.R., McKirdy, D.M. & Schwark, L. Temporal resolution of an oil charging history: A case study of residual oil benzocarbazoles from the Gidgealpa Field. Org. Geochem. 38, 1516-1536 (2007). 4. Yang, Y.L., Aplin, A.C. & Larter, S.R. Mathematical models of the distribution of geotracers during oil migration and accumulation. Petrol. Geosci. 11 (1): 67-78 (2005). 5. Larter, S.R., Bowler, B.F.J., Clarke, E., Wilson, C., Moffat, B., Bennett, B., Yardley, G. & Carruthers, D. An experimental investigation of geochromatography during secondary migration of petroleum performed under subsurface conditions with a real rock. Geochem. Trans. 9, 1-7 (2000). 6. Chen, G. Applied Physical Chemistry, Beijing 86-90 (2008). 7. Shen, Z., Zhu, W. & Zhong, Z. Basic Hydrologic Geochemistry, Beijing 55-59 (1993). 8. Li, M., Yao, H., Stasiuk, L. D., Fowler, M. G. & Larter, S. R. Effect of maturity and petroleum expulsion on pyrrolic nitrogen compound yields and distributions in Duvernay Formation petroleum source rocks in central Alberta, Canada. Org. Geochem. 26, 731-744 (1997). 9. Li, M. Quantificaton of petroleum secondary migration distances: fundamentals and case histories. Petrol. Explor. Develop. 27(4), 11-19 (2000). 10. Koopmans, M. P., Rijpstra, W. I. C., de Leeuw, J. W., Lewan, M. D. & Damste, J.S.S. Artificial maturation of an immature sulphur- and organic-rich limestone from the Ghareb Formation, Jordan. Diagenetic and Catagenic Transformations of Sequestered Biomarkers,Utrecht 1-304 (1997). 11. Clegg, H., Wilkes, H., Santamaria-Orozco, D. & Horsfield, B. Influence of maturity on carbazole and benzocarbazole distributions in crude oils and source rocks from the Sonda de Campeche, Gulf of Mexico. Org. Geochem. 29, 183-194 (1998). 12. Chen, C. Equations of Mathematical Physics, Nanjing 70-85 (2002). 31 13. Delle Site, A. Factors affecting sorption of organic compounds in natural sorbent water systems and sorption coefficients for selected pollutants. a review. J. Phys. Chem. Ref. Data 30(1), 287-431 (2001). 14. Bennett, B., Chen, M., Brincat, D., Gelin, F.J.P. & Larter, S.R. Fractionation of benzocarbazoles between source rocks and petroleums. Org. Geochem. 33, 545-559 (2002). 15. Wang, H.D., Allen, J. & Philp, R.P. An organic geochemical investigation of oils and source rocks from two Mesozoic formations of Shanganning basin, China. J. Southeast Asian Earth Sci. 11, 277-288 (1995). 16. Wang, C., Duan, Y. & Du, J. Geochemical characteristics of aromatic hydrocarbon in crude oils from the Xifeng Oilfield of the Ordos Basin. Acta Geosci. Sinica 29 (5), 613-618 (2008). 17. Yu, J., Han, Y.L. & Ling, S.J. The pool-formed geological feature and pool type in Triassic Yanchang formation oilfield of the Ordos basin. China Petrol. Explor. 6, 13-19 (2001). 18. Duan, Y., Wu, B., Zheng C. & Wang C. Pool-forming dynamic properties of Xifeng Oilfield in Ordos Basin. Acta Petrol Ei Sinica 26(4), 29-33 (2005). 19. Duan, Y., Wu, B., Zhang, H., Zheng, C. & Wang C. Geochemistry and genesis of crude oils of the Xifeng Oilfield in the Ordos Basin. Acta Geol. Sinica 80(2), 301-310 (2006). 20. Han, J. & Calvin, M. Hydrocarbon distribution of algae and bacteria, and microbial activity in sediments. Proceedings of National Academy of Sciences (USA) 64, 436-443 (1969). 21. Hwang, R.J., Heidrick, T., Mertani, B. Q. & Li, M. Correlation and migration studies of North Central Sumatra oils. Org. Geochem. 33, 1361-1379 (2002). 22. Connan, J. & Cassou, A.M. Properties of gases and petroleum liquids derived from terrestrial kerogen at various maturation levels. Geochim Cosmochim. Acta 44, 1-23 (1980). 23. Peters, K.E., Fraser, T.H., Amris, W., Rustanto, B. & Hermanto, E. Geochemistry of crude oils from eastern Indonesia. AAPG Bull. 83, 1927-1942 (1999). 24. Li, M., Lin, R., Liao, Y., Snowdon, L.R., Wang, P. & Li, P. Organic geochemistry of oils and condensates in the Kekeya field, southwest depression of the Tarim basin (China). Org. Geochem. 30, 15-37 (1999). 25. Hanson, A.D., Zhang, S.C., Moldowan, J.M., Liang, D.G. & Zhang, B.M. Molecular organic geochemistry of the Tarim basin, Northwest China. AAPG Bull. 84, 1109-1128 (2000). 32 26. ten Haven, H.L., Rohmer, M., Rullkötter, J. & Bisseret, P.T. The most likely precursor of gammacerane, occurs ubiquitously in marine-sediments. Geochim Cosmochim. Acta 53, 3073-3079 (1989). 27. Peters, K.E. & Moldowan, J.M. The Biomarker Guide: Interpreting Molecular Fossils in Petroleum and Ancient Sediments, New Jersey (1993). 28. Stoakes, F. A. & Creaney, S. Hydrocarbon generation and migration from carbonate source rocks: Case studies from the Devonian of Western Canada. CSPG Continuing Education Short Course, Calgary (1988). 29. Osadetz, K. G., Brooks, P. W. & Snowdon, L. R. Oil families and their sources in Canadian Williston Basin (southeastern Saskatchewan and southwestern Manitoba). Bull. Can.Petrol. Geol. 40(3), 254-273 (1992). 30. Thompson, K. F. M. Contrasting characteristics attributed to migration observed in petroleum reservoired in elastic and carbonate sequences in the Gulf of Mexico region. In Petroleum Migration. Geological Society, London, Special Publication 59, 191-206 (1991). 31. Radke, M., Willsch, H. & Leythaeuser, D. Aromatic components of coal: relation of distribution pattern to rank. Geochim. Cosmochim. Acta 46, 1831-1848 (1982). 32. Radke, M., Willsch, H. & Leythaeuser, D. Maturity parameters based on aromatic hydrocarbons: Influence of organic matter type. In Advances in Organic Geochemistry. Org. Geochem. 10, 51-63 (1986). 33. Boreham, C. J., Crick, I. H. & Powell, T. G. Alternative calibration of the Methylphenanthrene Index against vitrinite reflectance: Application to maturity measurements on oils and sediments. Org. Geochem. 12, 289-294 (1988). 34. Luo, J., Cheng, K. & Fu, Y. Alkyl dizenzothiophene: a new index for thermal evoluition of source rocks. Acta Petrol Ei Sinica 22 (3), 27-32 (2001). 35. Seifert, W.K. & Moldowan, J.M. The effect of biodegradation on steranes and terpanes in crude oils. Geochim. Cosmochim. Acta 43, 111-126 (1979). 36. Volkman, J.K., Alexander, B., Kagi, R.I. & Woodhouse, G.W. Demethylated hopanes in crude oils and their application in petroleum geochemistry. Geochim. Cosmochim. Acta 47, 785-794 (1983). 33 37. Blanc, P. & Connan, J. Origin and occurrence of 25-norhopanes: a statistical study. Org. Geochem. 18, 813-828 (1992). 38. Larter, S., Huang, H., Adams, J., Bennett, B., Snowdon, L.R. A practical biodegradation scale for use in reservoir geochemical studies of biodegraded oils, Org. Geochem. 45, 66-76 (2012). 39. Huang, H., Bowlera, B.F.J., Zhang, Z., Oldenburg, T. B.P. & Larter, S.R. Influence of biodegradation on carbazole and benzocarbazole distributions in oil columns from the Liaohe basin, NE China. Org. Geochem. 34, 951-969 (2003). 40. Barfoot, G. L. & Ko, S. C. M. Assessing, and compensating for the impact of the Leduc D-3A gas cap blowdown on the other golden trend pools. J. Can. Petrol. Tech. 26, 28-36 (1987). 41. Amthor, J. E., Mountjoy, E. W. & Machel, H. G. Subsurface dolomites in Upper Devonian Leduc Formation buildups, central part of Rimbey-Meadowbrook reef trend, Alberta. Bull. Can. Petrol. Geol. 41, 164-185 (1993). 42. Deroo, G., Powell, T. G., Tissot, B. & McCrossen, R. G. The origin and migration of petroleum in the Western Canada Sedimentary Basin, Alberta: A geochemical and thermal maturation study. Geol. Survey Can. Bull. 262, 1-136 (1977). 43. Creaney, S. & Allan, J. Hydrocarbon generation and migration in the Western Canada Sedimentary Basin. In Classical Petroleum Provinces. Geological Society, London, Special publication 50, 189-202. (1990). 44. Li, M., Yao, H., Fowler, M. G., & Stasiuk, L. D. Geochemical constraints on models for secondary petroleum migration along the Upper Devonian Rimbey-Meadowbrook reef trend in central Alberta, Canada. Org. Geochem. 29 (13), 163-182 (1998). 45. Chow, N., Wendte, J. & Stasiuk, L. D. Productivity vs preservation controls on two organicrich carbonate facies in the Devonian of Alberta: sedimentological and organic petrological evidence. Bull. Can. Petrol. Geol. 43, 433-460 (1995). 46. Gussow, W. C. Differential trapping of hydrocarbons. AAPG Bull. 1, 4-5 (1953). 47. Gussow, W. C. Differential trapping of oil and gas: a fundamental principle. AAPG Bull., 38, 816-853 (1954). 48. Gussow, W. C. Migration of reservoir fluids. J. Petrol. Tech., xxx, 353-63 (1968). 34 49. Stoakes, F. A. & Creaney, S. Sedimentology of a carbonate source rock: the Duvernay Formation of Alberta Canada. Proceedings of the CSPG Core Conference, Calgary 132-147 (1984). 50. Rostron, B. J. Numerical simulations of how caprock properties can control differential entrapment of oil. Proceedings of SPE Annual technical Conference, Houston 263-275 (1993). 51. Li, M., Larter, R. R., Stoddart, D. & Bjoroy, M. Fractionation of pyrrolic nitrogen compounds in petroleum during migration: derivation of migration related geochemical parameters. In Geochemistry of Reservoirs. Geological Society, London, Special Publication 86, 103-123 (1995). 52. Larter, S. R., Bowler, B. F. J., Li, M., Chen, M., Brincat, D., Bennett, B., Noke, K., Donohoe, P., Simmons, D., Kohnen, M., Allan, J., Telnaes, N. & Horstad, I. Molecular indicators of secondary oil migration distances, Nature 383, 593-597 (1996). 35
© Copyright 2026 Paperzz