Basin Research (2000) 12, 307±327 Normal fault displacement characteristics, with particular reference to synthetic transfer zones, Mae Moh mine, northern Thailand C. K. Morley*.and N. Wonganan*². *Department of Petroleum Geoscience, University of Brunei Darussalem, Bandar Seri Begawan, 2028, Negara Brunei Darussalem ²Department of Geological Sciences, Chiang Mai University, Chiang Mai, 50200, Thailand ABSTRACT Normal faults in middle Miocene sedimentary rocks of the Mae Moh mine have their geometries and displacement patterns well constrained by outcrop and subsurface data. Seventeen of the largest faults are described and analysed. The 17 faults have very different displacement pro®les, with differences between the pro®les being explicable in terms of the linkage of initially separate faults. Lateral tip gradients show a large range from 0.035 to 0.6. Fault displacement±length (D±L) relationships plot with considerable scatter. Following previous studies, data points with relatively high D±L ratios are attributed to displacement transfer between overlapping faults; faults with relatively low D±L ratios display linkage of two or more faults. In transfer zones conservation of displacement between the faults ranges from high (> 70%) to low (10±40%). This appears to depend upon whether the faults propagated relatively early (high displacement transfer) or late (low displacement transfer) into overlapping con®gurations. Where displacement transfer is low, extension appears to be conserved in a broader zone on adjacent mappable faults, with little increase in ductile deformation. INTRODUCTION Normal fault propagation has been investigated in a number of outcrop-based studies centred on natural exposures and coal mines (e.g. Barnett et al., 1987.; Walsh & Watterson, 1988., 1992.; Peacock & Sanderson, 1991.; Cartwright et al., 1995.; Huggins et al., 1995.). These studies have documented a number of features concerning fault displacement patterns, propagation and linkage. Some of the key observations include: 10Relay zones between synthetic faults are very common features in fault zones that evolve through different geometries with increasing strain (Morley et al., 1990.; Peacock & Sanderson, 1991., 1994.). In some cases a lithological heterogeneity can be identi®ed which was responsible for causing relay features to develop (Huggins et al., 1995.). Relay zones can form either between two separate faults or by bifurcation of a single fault (Larsen, 1988.; Peacock & Sanderson, 1991., 1994.; Huggins et al., 1995.). Correspondence: C. K. Morley, Department of Geology & Petroleum Geology, University of Aberdeen, Aberdeen AB24 3UE, UK. # 2000 Blackwell Science Ltd 20Commonly, the aggregate pro®les of overlapping faults are similar to the smooth bell-shaped displacement patterns found on a single fault trace. However, aggregate throw often decreases in the vicinity of relay zones suggesting throw is transferred onto other structures, such as more ductile features within or beyond the relay zone (Walsh & Watterson, 1991.; Nicol et al., 1996.). This drop in throw between transfer zones has been observed at many scales, ranging from small outcrops (Peacock & Sanderson, 1991.) to rift segments (Morley, 1988.). 30Two main models for fault development have been considered: isolated radial growth (e.g. Barnett et al., 1987.; Walsh & Watterson, 1987.; Schlische, 1991.; Cowie & Scholz, 1992a, b.; Schlische & Anders, 1996.; Fig. 1a.) and linkage of segments (e.g. Davison, 1994.; Cartwright et al., 1995.; Schlische & Anders, 1996.; Fig. 1b.). The models are not mutually exclusive, but serve to highlight a continuum of variations where faults may grow dominantly by either lateral propagation from a central starting region, or by linkage of numerous initially separate faults. Identifying such differences in fault development can be dif®cult; for example, Nicol et al. (1996.) recognize that faults can grow by merging of two 307 Map view Two-way lateral propagation i 0 ii iii Line of section i 1 12 0 ii 3 12 0 Hanging wall strike cross-section onlap of basin onto margin as faults propagate iii a strike distance a b strike distance Displacement a Displacement Displacement C. K. Morley and N. Wonganan a b c strike distance i ii ii iii Displacement i strike distance Displacement b Hangingwall strike cross-section iii Displacement strike distance strike distance i ii iii ii Hangingwall strike cross-section iii = new displacement increment below dashed line Displacement i strike distance Displacement Displacement c strike distance Fig. 1. Schematic illustration of some basic ways in which fault systems may develop and how displacement (and synkinematic sedimentary basins) may progressively build on the faults. (a) Isolated radial propagation: an isolated fault grows by progressively increasing in length by lateral propagation and increasing in displacement. Commonly the location of maximum displacement will remain ®xed (e.g. Barnett et al., 1987.). (b) and (c) increase in fault length by radial propagation and linkage with other faults. In (b) fault linkage is gradual with respect to the building of fault displacement. Hence the displacement pro®le of the fault is irregular, re¯ecting displacements on the earlier isolated faults (e.g. Schlische & Anders, 1996.). In (c) the other extreme is illustrated where fault linkage occurred very early in the propagation history so the fault displacement pro®le is smooth and dominated by the displacement on the fault post-linkage (e.g. Morley, 1999.). Although the ®nal displacement±strike distance pro®les of (a) and (c) are similar, the way displacement built with time is different. If the faults are associated with synkinematic sedimentary rocks then onlap of the sedimentary section onto the prerift section and a progressive increase in width of the basin should be apparent for radial propagation (e.g. Schlische, 1991.), while a ®xed basin width should be apparent for (c). 308 # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics antecendent faults (e.g. Fig. 1b.), but suggest faults which demonstrate this behaviour are relatively uncommon. This is attributed to further growth on the fault overprinting the earlier displacement patterns (Fig. 1c.). 40The interaction of overlapping faults can affect the length±height dimensions of faults and the way displacement varies approaching the fault tip (tip gradient). This has led to the identi®cation of restricted fault geometries where adjacent faults have interacted. Conversely, idealized unrestricted faults grow in isolation from other faults (e.g. Huggins et al., 1995.; Nicol et al., 1996.). Typically, tip gradients of restricted faults increase in regions of overlapping faults and the displacement pro®les tend to be asymmetric. The simple relationships can be numerically modelled (Willemse et al., 1996.). Cartwright et al. (1996.) stress the importance of more studies to determine whether faults tend to grow by mixed radial growth and linkage of segments or isolated radial growth. However, outcrop examples of medium- to large-scale fault systems that provide enough information to tackle fault displacement problems are dif®cult to ®nd. The Canyonlands of Utah are one such area where several studies have been conducted (as reviewed in Moore & Schulz, 1999.). This study investigates well-documented normal faults in the Mae Moh mine of northern Thailand (Fig. 2.). The aim of this paper is to provide more data on fault displacement patterns, describe how displacement is distributed between contemporaneous fault sets, and to investigate evidence for fault linkage. The results are compared with previous natural and theoretical studies of fault development. G E O LO G Y O F T H E M A E M O H M I N E The Miocene Mae Moh Basin is 16.5 km long by 9 km wide. It overlies folded and faulted Triassic limestones, sandstones and shales of the Lampang Group (Fig. 3.). The regional basement tectonic grain is north-east to south-west. The Mae Moh Basin is a structurally complex remnant of a larger Cenozoic depositional basin that has been dislocated by extensive syn- and post-depositional deformation, and by erosion. Neogene rifting resulted in about 20% west±east extension of the basin along a series of subparallel, normal faults (Fig. 3.). The Central Subbasin is over 900 m deep and has the geometry of a highly faulted graben at the level of mineable coal. The Tertiary stratigraphy has been divided into three formations by Corsiri and Crouch in an unpublished report for EGAT (Electricity Generating Authority of Thailand) in 1985 (Fig. 3.). The lowest is the Huai King Formation, it is up to 320 m thick and is dominated by ¯uvial and alluvial sandstones, with some claystones and conglomerates. The overlying Na Khaem Formation (< 420 m thick) contains the main coal-bearing units, interbedded with lacustrine and deltaic claystones, mudstones and minor sandstones. The youngest unit is the Huai Luang Formation, comprising a sequence up to 400 m thick of red±brown and grey claystones, mudstones and siltstones with occasional sandstone, conglomerate and gypsum-bearing horizons. Watanasak (1990.) determined an early Miocene to middle Miocene age for samples from one well in the mine, but the formations encountered in the borehole are not described. Vertebrate fossils from the Na Khaem Formation indicate a middle MYANMAR Chiang Rai THAILAND THAILAND GULFOF THAILAND N 200 km Nan Chiang Mai Lampang N Mae Moh Basin (Fig. 3) Phrae 50 km Normal fault, Tertiary basin Uttaradit Fig. 2. Location map for the Tertiary rift basins in northern Thailand. # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Predominantly granitic basement Town or city 309 C. K. Morley and N. Wonganan Mae Moh Mine Quaternary F 17 F 15 400 m. N Late MiocenePliocene HUAI LUANG FMN P 400m Extension direction determined from fault kinematic data Lignite J zone Middle 400m Miocene NA KHAEM FMN Lignite K zone Lignite Q zone F 14 F 16 Lignite R zone Lignite S zone F 13 Early 150m Miocene HUAI KING FMN F 10 Northern Basin 4 F 12 F 11 F9 F3 Western Basin F2 F5 Central Ridge Central Basin F7 Pleistocene volcanics S65°E S55°E F1 F6 Quaternary over Tertiary basin Measurement directions for summing extension along faults F4 Permo-Triassic sedimentary rocks N Southern Basin 0 N50°E N70°E N80°E E-W F8 Quaternary over Triassic 3 km Fig. 3. Location map of the normal faults in the Mae Moh basin used in this study. Inset map ± fault map of the Miocene± Recent sedimentary ®ll of the Mae Moh basin. Both maps and stratigraphic log are based on unpublished maps and reports by EGAT. Miocene age (Ginsburg et al., 1988.). Watanasak (1990.) attributes the major coal seams (Na Khaem Formation) in the mine to the middle Miocene. In outcrop individual fault zones tend to be narrow and zones of drag on either side of the fault are also narrow. Some claystones show plastic elongation, which suggests the rocks ranged from poorly to moderately lithi®ed at the time of faulting. Today the rocks are moderately well lithi®ed. Seismic re¯ection data show that the Miocene 310 section expands towards major rift bounding faults, and hence faulting was syndepositional. Geotechnical pit maps (unpublished EGAT 1: 1000, February 1999, sheet numbers 9, 151 and 253) show approximately 50 faults have been identi®ed in the study area (Fig. 3.). Of these 17 were suf®ciently long (< 300 + m) to be crossed by at least four cross-sections, and hence their displacement characteristics could be studied using map and borehole data. As illustrated in # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics Fault 3 North 0 400 m Throw (m) 10 0 40 Fault 1 30 Fault 4 Fault 2 15 0 0 Fault 1 0 Distance 300 Subsurface depth (m) (0 = sea level) 12.0 300 200 100 0 Distance 60 10.0 200 40.0 37.5 35.0 32.5 30.0 27.5 25.0 22.5 20.0 17.5 15.0 12.5 10.0 7.5 5.0 2.5 0.0 8.0 100 6.0 4.0 2.0 0 0.0 140 Fault 6 Fault 5 50.0 0 45.0 40.0 Meter. 35.0 300 30.0 130.0 120.0 110.0 100.0 90.0 80.0 70.0 60.0 50.0 40.0 30.0 20.0 10.0 0.0 0 25.0 200 20.0 15.0 100 10.0 300 5.0 0 0.0 Fault 4 90 200 100 Fault 7 90 Fault 8 0 90.0 80.0 0 70.0 300 60.0 50.0 200 75.0 70.0 65.0 60.0 55.0 50.0 45.0 40.0 35.0 30.0 25.0 20.0 15.0 10.0 5.0 0.0 -5.0 40.0 300 30.0 100 20.0 200 10.0 0 0.0 100 120 Fault 9 40 Fault 10 35.0 32.5 30.0 27.5 25.0 22.5 20.0 17.5 15.0 12.5 10.0 7.5 5.0 2.5 0.0 0 110.0 100.0 0 90.0 80.0 70.0 S 300 200 100 N Blackwell Science Ltd, Basin Research, 12, 307±327 200 60.0 50.0 100 40.0 30.0 20.0 10.0 0.0 # 2000 300 Fig. 4. 311 C. K. Morley and N. Wonganan Fault 11 36 35 Bq Bq G1 X-SECTION Ne36 G1 G1 G2 G3 G2 G3 Fault 12 50 Bq G1 G2 G3 G2 G3 200 meters 100 0 200 meters X-SECTION Ne35 0 33 100.0 34 BK 200 Bq Bq G1 60.0 G3 G3 N Bk 70.0 G2 G2 300 X-section scales 300 80.0 N G1 G1 X-SECTION Ne34 90.0 BQ BQ S S G1 G2 100 G3 G2 G3 50.0 40.0 200 30.0 0 20.0 100 X-SECTION Ne33 60 Fault 13 45.0 40.0 35.0 30.0 25.0 20.0 15.0 10.0 5.0 0.0 Fault 14 80 10.0 0.0 32 31 Bk Bk Bq G1 G1 X-SECTION Ne32 Bk G2 G2 G3 G3 Bq Bk 0 Bq G1 G2 G3 G1 G2 0 G3 55.0 50.0 45.0 X-SECTION Ne31 S 40.0 35.0 300 Meter. 30 30.0 25.0 200 200 20.0 Bk 100 Bk Bq X-SECTION Ne30 0 Bq G1 G1 10.0 100 Bk 5.0 Bq 55.0 29 45.0 35.0 Bk 25.0 Bq 15.0 G1 0 G2 G2 G3 5.0 G3 50 Fault 16 Fault 15 X-SECTION Ne29 50 28 Bk Bk 0 Bq G1 G2 G3 X-SECTION Ne28 300 200 75.0 65.0 15.0 G2 0.0 G3 G2 G3 N 300 45.0 42.5 40.0 37.5 Bk 0 35.0 Bq 32.5 G1 30.0 27.5 S 25.0 22.5 300 20.0 17.5 15.0 200 12.5 10.0 7.5 100 5.0 2.5 0.0 0 27 G2 G3 N 40.0 35.0 26 N X-SECTION Ne27 Bk 100 Bq 0 G1 G2 G3 100 m. 140 45.0 30.0 25.0 20.0 15.0 10.0 5.0 0.0 Fault 17 X-SECTION Ne26 FAULT 16 120.0 110.0 0 100.0 90.0 80.0 70.0 60.0 300 50.0 40.0 200 30.0 20.0 100 10.0 312 # 2000 Fig. 4. continued Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics 36 35 Bq Bq G1 G1 Bq G1 G1 G2 G3 G2 G3 G2 G3 G2 G3 200 meters X-SECTION Ne36 200 meters X-SECTION Ne35 X-section scales 34 BK BQ BQ X-SECTION Ne34 33 Bk G1 G1 G2 G2 G3 Bq Bq G1 G3 G1 G2 G2 G3 G3 X-SECTION Ne33 32 31 Bk Bk Bq G1 G1 X-SECTION Ne32 Bk G2 G2 G3 G3 Bq Bk Bq G1 G2 G3 G1 G2 G3 X-SECTION Ne31 30 29 Bk Bk X-SECTION Ne30 Bk Bk Bq G1 Bq G1 G2 G3 G2 G3 Bq Bq G1 G2 G3 G2 G3 X-SECTION Ne29 28 27 Bk Bk Bq Bk G1 G2 G3 Bq X-SECTION Ne28 N G1 G2 G3 26 X-SECTION Ne27 Bk Bq G1 G2 G3 100 m. X-SECTION Ne26 FAULT 16 Fig. 5. Example of data used to build the diagrams in Fig. 4.for fault 16. The short cross-sections across the fault have been extracted from regional cross-sections. Cross-sections are well constrained by boreholes spaced every 50±100 m, which penetrate depths down to 450 m from the surface, and by 1 : 2000 geological maps updated every 3 months during pit excavation. BK = base K seam, BQ = base Q seam. Fig. 4. Summary diagrams of the displacement characteristics of the faults used in this study. The diagrams used for each fault are (1) maximum displacement vs. strike distance, (2) map view of the fault trace, (3) contours of fault displacement, vertical scale in metres above sea level; horizontal scale = strike distance along fault (see Fig. 3.for location). Fault contours are based on the offset of horizons extracted from geological cross-sections spaced every 100 m, boreholes and geological maps. Displacement values used in the contours (black diamonds) are located at the mid point between hangingwall- and footwall-cutoffs for each horizon. Note the contours of some faults (e.g. 6, 8, 15 & 17) close outside the data ®eld. The actual point of maximum displacement may lie below the mapped fault area, so that faults may have propagated from below and not outwards from the contoured part of the fault. # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 313 C. K. Morley and N. Wonganan Common post-linkage geometries Early fault and fracture geometries prior to linkage En-passant (Kranz 1979) (convergent) Fault 6 En-passant (divergent) Faults 8, 9, 10, 17 En-echelon Northern tip of fault 14 Approaching/underlapping Faults 5, 16 Overlapping Faults 5-4 Faults 17 13;12-11; 9-8; 8-7; 7-6; 3-2; 2-1 Fig. 6. Examples of common fracture linkage patterns based on observations of the growth of natural cracks in various materials including rock, concrete and plaster. Although some fractures have formed under tension, and others under shear the fracture patterns are commonly similar. Faults in the Mae Moh mine representative of some of the different patterns are labelled on the ®gure. Faults 12-13 Hooked Fig. 4., maximum displacements on the faults studied range from 6.49 m (fault 3) to 122.5 m (fault 6), and their trace lengths range from 280 m (fault 3) to 1400 m (fault 5). The open cast pit has been mapped every few months. Particular attention is paid to identifying normal faults due to their effects on slope stability. Consequently, as rock layers were removed maps of the fault geometry at different levels were produced. These maps together with borehole data (with boreholes drilled on a 100-m grid) enable fault geometries down to 300±400 m depth to be well constrained. Using the borehole and map data, 314 EGAT constructed geological cross-sections across the mine every 100 m. These sections are digitized and have been used to generate structure maps almost akin to a 3D seismic data set. The mine data therefore provide a rare opportunity to study fault displacements in detail from outcrop and subsurface information (Fig. 5.). F A U L T G EO M E T R I E S The map view pattern of faults in the portion of the central basin described in this study shows a system of # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics 0.7 Lateral displacement gradient 0.6 0.5 0.4 0.3 0.2 0.1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Faults (southern tip black, northern tip grey) Fig. 7. Values of lateral tip gradients for each fault tip of the 17 faults investigated in this study (black = southern tip, grey = northern tip). Tip gradients calculated using the ®rst displacement maximum (Cartwright & Mans®eld, 1998.). Error bars show variation in tip gradient assuming the location of the fault tip is only known within t 25 m. dominantly west-dipping, left-stepping faults arranged in a system of synthetic transfer zones (Morley et al., 1990.; Fig. 3.). Some large east-dipping faults also exist but are less frequent than west-dipping faults in the study area. Synthetic transfer zones comprise en echelon or stepping fault systems in map view, with similar dip directions. When the faults are unconnected in the horizon under study, structure contours between the faults tend to be reoriented from regional trends to strike subperpendicular to the faults. This zone between two overlapping, synthetic fault tips which die out towards each other is known as a relay ramp (e.g. Goguel, 1962.; .Grif®ths, 1980.; Larsen, 1988.). With increasing displacement relay ramps may evolve from simple ramps to breached ramps affected by oblique faults (e.g. Childs et al., 1995.). Not all synthetic transfer zones comprise relay ramps; oblique-slip transfer faults bounding rhomb blocks or strike-slip faults may link the stepped normal faults (Gibbs, 1984.; Patton et al., 1994.; Morley, 1995.). Synthetic transfer zones can also develop between two parallel, completely overlapping faults (Morley et al., 1990.). In this study the synthetic transfer zones appear to be entirely composed of relay ramps. Following the methods of previous studies investigating displacement patterns of normal faults (e.g. Barnett et al., 1987.; Peacock & Sanderson, 1991.; Cartwright et al., 1995.) fault displacements were contoured (Fig. 4.). From the contoured data maximum displacement±distance pro®les were derived. The maximum displacement # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 value could come from anywhere on the fault plane (Fig. 4.). Hence the maximum displacement±distance pro®les differ from outcrop studies where the alongstrike variations in displacement on a single exposed horizon are used, but are similar to previous studies of fault displacements using mine data or 3D seismic data (e.g. Barnett et al., 1987.; Needham et al., 1996.). For outcrop studies the choice of how to measure displacements tends to be simple since only one horizon is usually used. However, outcrop horizons have arbitrary paths through fault planes; for one fault the offset horizon might be exposed running along the low-displacement edge of a fault, while in another location it might be offset around the displacement maxima of a fault. Variations in tip gradients on horizons will also depend on whether the horizon was prekinematic (i.e. has the potential to measure the maximum displacement of the fault) or was synkinematic (i.e. can only have recorded part of the fault displacement history). Consequently, given the potential inconsistencies inherent in comparing data measured from single horizons, the contoured fault plane data (i.e. maximum displacement) were used. This method will tend to have data sets with higher tip gradients, or more frequently occurring high tip gradients than outcrop studies since only a fraction of the faults exposed in outcrop, if any, will display horizons that run through the fault displacement maxima. Fault displacement contour maps were constructed from the intersection and offset of marker horizons (base 315 C. K. Morley and N. Wonganan of coal K seam, base of coal Q seam, G1, G2, R and G3) with faults on structural cross-sections made by the mine geologists (Fig. 5.). Commonly, the faults comprise zones of two or more splays, the contours representing the sum of displacement across the splays. The fault tip-lines are approximately positioned within about 25 m accuracy, due to the limited resolution of the cross-sections and maps. The majority of pro®les in this study exhibit a similar pattern of displacement for the shallower and deeper levels of the fault, but there are some exceptions. Faults 1, 14 and 15, for example, would have fairly symmetric pro®les if displacements from the upper 100 m of the fault were used (Fig. 4.). It is the deep displacement maxima at about 300 m depth that cause the asymmetry. For faults 6, 8 and 9 the shallow displacement geometry would not convincingly show evidence for the linkage of several faults (displacement maxima) that the deeper geometry shows (Fig. 4.). The summary diagram of fault displacements (Fig. 4.) shows that a variety of geometries are present. Some faults have a symmetric, smooth displacement pro®le with maximum displacement in approximately the centre of the fault (faults 2, 3, 4, 7, 13), while others have smooth, asymmetric displacement pro®les (faults 1, 11, 12, 14, 15). The longer faults tend to be composed of multiple peaks and troughs and a smooth displacement pattern is not apparent. Seven of the 17 faults examined have displacement pro®les composed of multiple peaks and troughs assumed to represent linkage of two or more faults (faults 5, 6, 8, 9, 10, 16, 17) as discussed, for example, in Peacock (1991.) and Childs et al. (1995.). Fault trace geometries often provide hints of how the separate faults are linked. Subtle features like slightly 0.6 0.5 Tip gradient 0.4 0.3 0.2 0.1 0 0 0.04 0.08 0.12 0.16 TIP GRADIENTS Cartwright & Mans®eld (1998.) have discussed different ways of measuring displacement gradients at the tips of faults to overcome the problem of irregular displacement pro®les. Here the tip gradient is de®ned as the value of the ®rst displacement maximum divided by the distance from the fault tip to the ®rst displacement maximum following Cartwright & Mans®eld (1998.). The ®rst point method also used by Cartwright & Mans®eld (1998.) is not used here because the uncertainty surrounding the exact location of the fault tips in the Mae Moh mine (c. t 25 m) adds considerably more error to the ®rst point method than the ®rst maximum method. Tip gradients in the Mae Moh mine range from 0.035 to 0.6 with a mean gradient for the fault population of 0.23 (Fig. 7.). The tip gradients are considerably higher than those observed in the Canyonlands (Cartwright & Mans®eld, 1998.; Moore & Schulz, 1999.), where the data range between 0.0164 and 0.25 with a mean of 0.072. There is a general increase in displacement gradient with an increase in the dimensionless fault displacement± length ratio (Fig. 8.) but the data are highly scattered. In general the data points plot at or above the reference line based on the ideal `C' type displacement pro®le for unrestricted faults (Nicol et al., 1996.; their Fig. 13). The dominance of plots in the laterally restricted ®eld re¯ects the high tip gradients on some faults. A cross-plot of lateral tip gradients against fault trace length shows no positive correlation (Fig. 9.). However, cross-plots of fault displacement amount and tip gradient show a highly scattered, but progressive increase in the displacement gradient with increasing fault displacement (Fig. 10.). Faults 14 and 15 show asymmetry on the maximum displacement graphs (Fig. 4.). The values which cause asymmetry are located at around 300 m depth on the fault displacement contours (Fig. 4.). Passing up section the maximum displacement contours for higher levels of the fault tend to be more symmetric. The asymmetric high tip gradients can be found in the mine outcrops associated with relatively steeply inclined relay ramps with dips perpendicular to the fault strike of 10±20u and as transverse anticlines (Schlische, 1995.). 0.20 Dmax /L (fault segment) Fig. 8. Graph of displacement gradient against dimensionless maximum fault displacement±length ratio, for 17 faults in the Mae Moh mine. 316 oblique segments and more obvious features such as fault splays commonly coincide with areas of total displacement minima (Fig. 4.). Figure 6.is a summary of some common linkage geometries associated with fracture arrays in many brittle materials (rocks, concrete, plaster), a number of which can be recognized in the fault patterns of Mae Moh mine. DISPLACEMENT±LENGTH RELATIONSHIPS A number of early papers investigating fault population characteristics examined the displacement and length # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics 0.6 0.5 Tip gradient 0.4 0.3 0.2 Fig. 9. Cross-plot of displacement gradient against fault length. Note the shortest segment lengths only show small tip gradients. This may re¯ect problems with undersampling displacement variations along the faults since the cross-sections are spaced every 100 m. 0.1 0 0 250 0.6 0.5 Tip gradient 0.4 0.3 0.2 0.1 0.0 20 40 60 80 100 120 Maximum fault displacement Fig. 10. Cross-plot of displacement gradient against maximum fault displacement, with best ®t line through data. # 2000 750 1000 1250 1500 1750 Segment length characteristic of fault populations to determine a relationship between fault displacement and fault trace length. Walsh & Watterson (1988.), Marrettt & Allmendinger (1991.) and Cowie & Scholz (1992b.) showed that faults increase their displacement (D) as they increase their surface trace length (L). Displacement is measured as offset of marker horizons measured along the dip of the fault plane. The cross-section and map data at Mae Moh coal mine cover the entire basin, and reveal the complete strikelength of major faults and smaller faults. Measurements of displacement and trace length of 17 faults are shown in Fig. 11.. The minimum measurement is 280 m in trace length and 6.49 m of displacement. The maximum measurement is 1360 m in trace length and 117.16 m of 0 500 Blackwell Science Ltd, Basin Research, 12, 307±327 displacement. Distribution of the data is scattered, and hence the best-®t line is rather poorly determined; linear regression through the data plotted on log±log axes gave a best-®t line given by D = 0.0255 L1.1652 with a best-®t ratio (R2) of 0.4111. INTERPRETATION OF THE DATA Interpretation of the fault displacement data centres around two main aspects: (1) the displacement patterns of individual faults and (2) how the faults have interacted during the growth of the fault system. These aspects are discussed below. The individual patterns of faults are highly varied, both in general geometry and in the tip gradients. This is apparent in the plots of D±L ratios for faults which show highly scattered data (Fig. 11.). Scholz & Cowie (1990.) proposed a linear displacement and trace length (D±L) relationship. Dawers et al. (1993.) supported Cowie & Scholz (1992a.) in demonstrating that the relationship between displacement and trace length is linear. They proposed that D = 0.011 L for short faults and D = 0.008 L for longer faults. Walsh & Watterson (1988.) proposed D = kL2, while Marrettt & Allmendinger (1991.) proposed a D = kL1.5 relationship. More recently, Davison (1994.) and Cartwright et al. (1995.) suggested that at any instant in the evolution of a fault population, individual faults would be at different stages of development on their own particular step-wise growth curve. Some would be at a stage of radial propagation, while others would be at different stages of overlap, interaction and linkage, probably with different length and numbers of segments involved. These faults would have D and L values lying beneath the growth line, with growth paths and positions re¯ecting their own speci®c histories of linkage. The variability in the timing and length scale of linkage to be expected in any natural fault 317 C. K. Morley and N. Wonganan Log displacement (m) 1000 Envelope of data from Nicol et al. (1996), Timor Sea Envelope of data from Cartwright et al. (1995), Canyonlands, Utah M M 100 M M M M M M 10 M D = 0.0255L1.1652 2 R = 0.4111 Faults in study area with multiple displacement maxima Faults in central basin outside study area Faults in study area 1 10 100 1000 10 000 Log trace length (m) system would create a scatter in D and L data. Moreover, the magnitude of the scatter would be largely a function of the number and length of segments involved during a typical cycle of linkage. Measurement biases such as the problems of rough distribution of displacement on the fault surface, the sampling of fault trace length, the measurement of fault displacement and the complications due to complex fault geometry will also affect D±L plots (Cowie & Scholz, 1992a, b.). Peacock (1991.) and Peacock & Sanderson (1991., 1996.) showed that with increasing interaction between faults the D±L ratio increases and causes data to plot above an `ideal' line. In the Mae Moh mine some faults have unusually high D±L ratios (up to 1 : 6) and high tip gradients (0.6), while others display relatively low D±L ratios (as low as 1 : 27; Fig. 11.) and low tip gradients (0.08±0.09). The low D±L faults are combination faults where linkage of two or more faults has occurred (similar to those described by Cartwright et al., 1995.). For example, faults 5 and 16 show displacement pro®les with two maximum peaks of the same magnitude (Fig. 4.). Other combination faults show differences in magnitude of the maximum displacement peaks (particularly 9 and 17) but still show they were amalgamated from the originally separate faults (Fig. 4.). The high D±L ratio, high tip gradient faults cause scatter above the best-®t line (Fig. 11.). Some of the high D±L ratio faults appear to conserve displacement with just a few other faults, which results in asymmetric maximum displacement±length plots (Fig. 12;. faults 11, 12, 13, 17) as previously described by Peacock (1991.) and Peacock & Sanderson (1991., 1996.). High D±L faults are mostly of intermediate length; they have built anom318 Fig. 11. Log±log plot of maximum displacement vs. maximum fault length. There is a poor ®t of the data; a least squares regression through the Mae Moh data points has a low correlation coef®cient. Many of the data plot above trends found in previous studies (Cartwright et al., 1995.; Nicol et al., 1996.) indicating many of the faults have unusually high displacement±length ratios. alously high displacements for their lengths which is re¯ected in high tip gradients. These high tip gradients indicate one or a combination of the following factors has operated (e.g. Burgmann et al., 1994.; Cowie & Shipton, 1998.): (1) the faults zones have undergone strain softening, where it was easier to keep deforming the same region than propagate into undeformed rock; (2) the adjacent rock volume was more resistant (stronger) to fault propagation in comparison with other parts of the mine; (3) stresses at fault tips produced areas of stress shadows and enhancement which promoted or inhibited the growth rate of faults (Cowie, 1998.). Figure 12.shows the distribution of fault tip gradients that have been split into three main categories: low± moderate, tip gradients up to 0.15; high, gradients from 0.16 to 0.30; and very high with gradients of 0.31±0.6. A few patterns are present. The low±moderate tip gradients are mostly associated with east-dipping faults antithetic to the dominant west-dipping faults. Where low±moderate tip gradients are found on west-dipping faults they tend to occur where the fault tips strongly overlap adjacent faults. High and very high tip gradients tend to be found in relay ramps between closely spaced west-dipping faults. They are also found at the southern end of faults 14, 15 and 17, which form a left-stepping pattern. On 1 : 2000 geological maps of the mine made by EGAT the absence of faults to the south of the high tip gradient terminations suggest basement control on fault distribution. Hence the distribution of tip gradients indicates that at least mechanisms 2 and 3 above acted to cause high tip gradients. High tip gradients can be associated with irregular displacement faults (Fig. 1b.) where the linkage # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics F 15 F 17 F 14 F 16 F 13 F 10 F 12 Fault tip displacement gradient F 11 F9 0-0.15 F3 0.16-0.30 F5 F2 F8 F7 0.31-0.6 N F1 F6 F4 400 m. Fig. 12. Map of faults in the study area showing the magnitude of the fault tip gradients. Boxes represent the distance along the fault between the fault tip and the ®rst displacement maximum point. of two or more faults results in much higher tip gradients when calculated to the ®rst displacement maximum, compared with the average displacement gradient to the centre of the fault. This pattern is seen in faults 5, 6, 9, 10 and 16. The fault map from Mae Moh mine shows that most of the faults overlap to some degree with their neighbours (Fig. 3.). The close proximity and overlapping nature of some faults of similar dip direction suggests they are # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 related and form part of a linked fault system. How the fault system developed can be tested by constructing aggregate throw pro®les for various fault segments (e.g. Peacock & Sanderson, 1991.; Dawers & Anders, 1995.; Willemse et al., 1996.; Cartwright & Mans®eld, 1998.). For a strongly linked system that approximates radial propagation the aggregate throw pro®le is expected to show a simple bell-shaped curve (Schlische, 1991.; Schlische & Anders, 1996.; Morley, 1999.). Thus the 319 C. K. Morley and N. Wonganan Transfer zone 160 Displacement (m) Smoothed, projected displacement pattern Difference between actual displacement and ideal displacement in transfer zone total displacement 17 11 12 13 Displacement (m) 0 0 2000 1000 Distance (m) TZ TZ 60 1 3 2 0 1100 Distance (m) Transfer zone Displacement (m) 160 9 6 7 0 0 Difference between actual displacement and simple projected displacement in transfer zone 8 1000 Distance (m) 2000 m Fig. 13. Displacement±distance graphs for faults involved in three transfer zones. Two fault sets (1-2-3 and 11-12-13-17) show a high degree of displacement conservation between adjacent fault sets, while faults 6-7-8-9 show a low degree of displacement conservation between adjacent fault sets. sum of the various fault segments creates the simple displacement pattern of a much larger fault (Fig. 1a or 1c.). A system that indicates fault linkage by numerous propagating fault segments will show an irregular aggregate pro®le of numerous displacement maxima and minima (Fig. 1b.). A variety of these patterns are found in the Mae Moh mine. Figure 13.shows the individual and total displacement curves for three sets of faults in synthetic transfer zones. Two patterns of displacement pro®le are recognized, namely: (1) the simple and regular pattern exhibited by fault group 11-12-13-17 and fault group 1-2-3 (Fig. 10.), and; (2) the irregular pattern displayed by faults 6-7-8-9. The ®rst pattern is demonstrated by simple stepping faults, with each fault displacement graph commonly displaying asymmetry. For faults 11-12-13-17 the two highest displacement faults (11 and 17) have their highest 320 tip gradients in the transfer zone (Fig. 13.). In contrast, the second pattern is exhibited by overlapping faults which individually have several displacement maxima (faults 6, 8 & 9). In the transfer zone between faults 6 and 9 the maximum total fault displacement for an idealized symmetrical bell-shaped displacement pro®le would be projected at about 140 m, while the actual total displacement is only 40 m (Fig. 13.). Previous studies (e.g. Peacock & Sanderson, 1991.; Huggins et al., 1995.) have proposed that a decrease in aggregate throw across a relay zone could occur due to (1) interaction of independently nucleated faults, and/or (2) a signi®cant proportion of displacement is accommodated by ductile strain within the relay zone and/or (3) transfer of displacement to a neighbouring fault group. The high degree of aggregate throw conservation within fault group 11-12-13-17 and low degree of aggregate throw conserva# 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics tion between faults 6, 7, 8 and 9 indicates that considerable variation exists in the roles played by the three factors above even locally within fault systems. Building on the variations in transfer zone geometry above and in other papers (notably Morley et al., 1990.; Peacock & Sanderson, 1991.; Cartwright et al., 1995.; Nicol et al., 1996.) a general model for the evolution of strain in transfer zones is discussed below. STRAIN EVOLUTION IN TRANSFER ZONES Transfer zones are regions where strain is transferred along strike from one structure that dies out onto one or more other contemporaneous structures. Hence even though individual structures are discontinuous, strain continuity is preserved. The general features of extension in transfer zones are described in several papers (e.g. Rosendahl et al., 1986.; Morley et al., 1990.; Gawthorpe & Hurst, 1993.; Faulds & Varga, 1998.). One aspect of displacement transfer between two faults that forms part of the classi®cation of Morley et al. (1990.) is the degree of overlap of faults in the transfer zone. Morley et al. (1990.) mentioned that for approaching or underlapping stages Main stages of displacement associated with faults 6-7-8-9 (Fig. 6di.), where laterally there is a gap between the faults, there cannot be the opportunity for displacement `transfer' between the faults (assuming plane strain and more-or-less pure extension). Consequently, the distribution of extensional strain associated with the faults must change with time as the fault geometries evolve and recon®gure to permit progressively greater displacement transfer between the faults with time. This evolution is schematically illustrated in Fig. 14.. Strain distribution around two propagating faults can be divided into various types. First the area between the two faults is referred to as the internal area of the transfer zone (I) (for synthetic faults this would be the relay ramp), beyond which lies the external area (e). Strain can be accommodated by other large faults (ef), or by structures, which at the level of observation are relatively small-scale or ductile (ed, i.e. numerous small faults, pressure solution, cleavage, compaction, deformation bands, etc., e.g. Nicol et al., 1996.; Fig. 6c and div.). As fault systems and transfer zones evolve, the way the total strain is distributed across the extending area will change, as indicated by numerical modelling (e.g. Cowie, 1998.). During the early stages of fault development many fault tips will have approaching con®gurations, where Main stages of displacement associated with faults 11-12-13-17 Approaching Joined Overlapping ed+ef Id ed+ef Pd Id Td = Id+ed+ef tends to be Id+ed<ef Td = Id+ed+ef tends to be ed+ef<Id Td= Pd+Id+ed+ef tends to be: Pd<ed+ef<Id Td= Pd+Id+ed+ef tends to be: ed+ef<Id<Pd Td=Pd Transfer of displacement (Td) Displacement between the principal faults (Pd) Internal ductile deformation (Id) External ductile deformation (ed) External fault displacement (ef) Fig. 14. Schematic diagram illustrating how strain in transfer zones is likely to evolve as faults pass through different stages of development ranging from approaching or underlapping, to overlapping and ultimately linkage. Td is total displacement on the system. # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 321 C. K. Morley and N. Wonganan there will be little or no displacement transfer between neighbouring faults. Hence strain must be distributed relatively widely by internal and external ductile strains and on other larger faults. When the two principal fault tips begin to overlap more strain can be concentrated on the faults and ductile strains between (internal) the two faults, and less on external structures. Finally, with signi®cant fault overlap, or linkage by cross-faults, all displacement transfer can occur between the two faults, although even at this stage displacement transfer does not have to be 100%. Thus transfer zones might be expected to narrow with time. The amount of displacement transfer between two faults can be measured as the difference between a simple, projected displacement curve (representative of 100% displacement transfer) and the actual sum of displacement (e.g. Childs et al., 1995.; Fig. 13.). For descriptive purposes the difference in displacement conservation on principal faults in the zone of transfer between the simple projected displacement curve and the actual sum of displacement is referred to here as high (70±100%), moderate (40±70%), low (10±40%) and insubstantial (< 10%). Displacement conservation between the principal faults in the transfer zones relative to an idealized smooth total displacement curve is extremely variable, ranging from high (fault group 1-2-3, 100%; fault group 11-12-13-17, 75%) to low (fault group 6-7-8-9, 31%). In Fig. 15(a.) fault group 6-7-8-9 displays considerable evidence for early nonlinked faults with high displacements, following the schematic pattern illustrated in Fig. 1(b.). From the highly jagged displacement pro®les in Fig. 15(a.) it is inferred that the post-linkage displacements on the faults are relatively small. If extension conservation was high during the post-linkage phase then the 40 m displacement in the transfer zone (Fig. 13.) may approximate the maximum displacement on the fault postlinkage. Then 100 m of displacement occurred prior to linkage. The early faults built high tip gradients that have been modi®ed and commonly lessened by later fault propagation and linkage. In contrast, the displacement pattern for fault array 17-13-12-11 (Fig. 15b.) shows little evidence for displacement on earlier, shorter faults, except for fault 17. In general, the displacement patterns match those schematically illustrated in Fig. 1(a.) or 1c.. It is dif®cult to infer the early linkage geometry except for fault 17. It is suspected that the faults propagated to near their current length before building most of their displacement. Such faults are characterized by high tip gradients. It was argued above that the amount of extension not conserved within transfer zones should be transferred to other structures within or beyond the transfer zone. To determine whether this occurs largely on other large faults or through ductile structures it is necessary to examine how summed displacement across all known faults varies perpendicular to the regional extension direction. Figure 16.is a displacement±distance plot where displacement is the sum of the extension across all the mapped 322 faults in Fig. 3.. The problem with constructing this type of ®gure is that extension has to be summed in the extensional transport direction. Two ways can be used to determine the transport direction. First, fault striation data can provide palaeostress and palaeostrain data (Fig. 3.). The extension direction from these data is approximately E±W. Second, the method of summing extension across the fault might be expected to give an approximation of the transport direction, if it is assumed that summing extension in the wrong direction is likely to produce greater variability in the summed extension values than summing them in the correct direction. In Fig. 16. the least variability occurs when extension is summed in the N80uE direction. The average extension across the map in Fig. 3.in the N80uE direction is 150 m, with a range from 130 m to 215 m (Fig. 16.). In Fig. 16. the location of the transfer zone between faults 6, 7, 8 and 9 lies in a region of the graph for N80uE which has consistent values close to 150 m, despite the 100 m local drop in displacement between faults 6 and 9 (Fig. 13.). This plot indicates the loss of displacement between adjacent faults (6-7-8-9) is compensated by displacements on other mapped faults (in particular faults 1, 2 and 5). There appears to be no extra ductile strain required to help conserve displacement. This inference is supported by outcrops in the coal mine around faults 6-7-8-9 that display remarkably few faults with displacements in the order of centimetres to millimetres between the mappable faults. In some sections tens-of-metres-long minor faults are absent. The anomalously high value of 215 m in Fig. 16., line N80uE, coincides with the transfer zone between faults 11 and 12 where displacement conservation is high. To have 65 m of extra extension on this part of the system requires a drop in extension on a fault or faults beyond the faults studied. The alternative solution, that ductile strain varies considerably within the study area, is not feasible because except at local, high strain features, such as rollover anticlines and drag synclines, there are very few (i.e. less than 1 per metre length of outcrop) low-displacement (centimetre to millimetre) faults in any of the numerous outcrops in the mine. The high strain suggests the faults were able easily to build displacement at the expense of displacement on fault systems a considerable distance away (probably some 400±600 m west of the study area). The high strain might represent an example of healingreloading feedback control suggested by Cowie (1998.) where fault tip con®guration increased stresses around the en echelon fault zone which lead to enhanced fault activity. Relative to the currently observed displacement some fault zones show little displacement through the early stages of fault development of approaching to weakly overlapping fault tips. Such faults are likely to be associated with high displacement transfer zones. Transfer zones that could be classed as moderate and low will tend to re¯ect fault zones that built relatively substantial amounts of displacement during the approaching to # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics a 160 b a Displacement (m) Early d f g e c Early displacement b e c a f g d 00 2000 m 1000 Distance (m) Intermediate Fault 9 Fault 8 Fault 6 Fault 7 160 Total displacement Displacement (m) Present day Fault 10 f b a g e c 6 9 d 7 8 00 1000 Distance (m) 2000 m = latest displacement increment b Early Present day Fault 11 Fault 12 Fault 13 Fault 17 400 m Displacement (m) 160 speculative structure contour shape- intended to highlight changes in fault linkage with time. 17 11 13 12 0 0 1000 Distance (m) 2000 Fig. 15. Illustration of how fault arrays 6-7-8-9 (a) and 17-13-12-11 (b) may have developed, illustrating a contrast in the way displacement has built on fault systems in the Mae Moh mine. The displacement±strike distance diagrams are those illustrated in Fig. 13.; fault locations can be found in Fig. 3.. (a) The fault array displays evidence for early nonlinked faults with high displacements, following the schematic pattern illustrated in Fig. 1(b.). From the highly jagged displacement pro®les it is inferred that the post-linkage displacements on the faults are relatively small. The early faults built high tip gradients which have been modi®ed and commonly lessened by later fault propagation and linkage. (b) The displacement pattern for fault array 17-13-12-11 shows little evidence for displacement on earlier, shorter faults (unlike a above), except for fault 17. In general, the displacement patterns match those schematically illustrated in Fig. 1(c.). It is dif®cult to infer the early linkage geometry except for fault 17. In contrast to (a) above it is suspected that the faults built little displacement until the fault systems developed to near their current length. The subsequent building of displacement is characterized by high tip gradients. # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 323 C. K. Morley and N. Wonganan Displacement (m) 400 N50°E strike 300 200 100 100 m 0 Distance Displacement (m) 400 N70°E strike 300 200 100 0 Distance Displacement (m) 400 N80°E strike 300 200 100 0 Distance Displacement (m) 400 90°E-W strike 300 200 100 0 Distance Displacement (m) 400 S65°E strike 300 200 100 0 Distance Displacement (m) 400 S55°E strike 300 200 100 0 Distance Fig. 16 Summed displacement±distance graphs for all the faults in Fig. 3.. Displacement values (Fig. 4.) were marked along the faults (and estimated for the smaller faults using cross-sections and geological map data). A series of lines spaced every 100 m were superimposed on the map. The displacement value at the location where the line cut a fault was taken. Then the values for all faults cut by the line were summed to the value marked by a black dot on the ®gure. By repeating the measurements on each line across the map the resulting curves show how well or poorly extension is conserved in a particular direction. The calculations were repeated for different line orientations between S55uE strike and N50uE strike (Fig. 3.). It is assumed that the direction with the best conservation of extension (i.e. least variation between maximum and minimum values) lies perpendicular to the bulk transport direction of the extension system (i.e. N80uE in this case). Note that the values always fall off towards the last few points at the ends of the graph; these are not reliable values and re¯ect undersampling of faults at the map edges. 324 # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 Normal fault displacement characteristics weakly overlapping stages. It is apparent that the faults in groups 11-12-13-17 and 1-2-3 associated with high displacement transfer zones have relatively simple symmetric or asymmetric displacement pro®les while fault group 6-7-8-9 associated with a low displacement transfer zone is characterized by irregular displacement pro®les and strong evidence for multiple fault linkage. Figure 15. illustrates how fault zones 11-12-13-17 and 6-7-8-9 may have evolved using the fault geometries and displacement patterns as a guide, following the assumptions about how fault displacements may have accumulated shown in Fig. 1.. SEDIMENTARY BASINS The faults discussed in this study cannot be demonstrated to have a signi®cant effect on sedimentation. However, the observations about fault development can be applied to larger faults that do impact sedimentation. There have been several models published concerning the growth of normal faults and their impact on the development of sedimentary basins (e.g. Schlische & Olsen, 1990.; Schlische, 1991.; Anders & Schische, 1994; Schlische & Anders, 1996.; Gawthorpe et al., 1997.; Gupta et al., 1998.; Morley, 1999.; Fig. 1.). One aspect of these models is whether signi®cant boundary fault propagation and linkage occurs largely prior to signi®cant basin development (Morley, 1999.) or whether linkage occurs during basin development (Schlische & Anders, 1996.; Gupta et al., 1998.). These different mechanisms can result in different basin ®ll and isopach patterns, and variations in the way sediment entry points into rifts change with time (Schlische, 1991.; Gupta et al., 1998.; Morley, 1999.). Examples of the three principal paths of fault development illustrated in Fig. 1.no doubt exist, but published data on the displacement characteristics of fault systems are too limited to make conclusions about their relative importance. The Mae Moh data are one example where faults representing the different models can be found in the same area of contemporaneous faults (e.g. Fig. 15.). Apparently local factors (e.g. local stress ®eld variations at fault tips/degree of overlap between faults, pre-existing basement fabrics, variations in fault zone material properties) can strongly in¯uence which path is followed. CONCLUSIONS Normal faults exposed in the Mae Moh mine represent a fault population that developed during the early to late Miocene formation of a synrift sedimentary basin. Of the 17 faults investigated, four have simple symmetric displacement pro®les, six have smooth asymmetric displacement pro®les and seven show irregular displacement pro®les with multiple displacement highs and lows indicative of fault linkage. Similar types of pro®les have been described for other fault systems (e.g. .Ellis & Dunlap, 1988.; Peacock & Sanderson, 1991., 1994.). Hence # 2000 Blackwell Science Ltd, Basin Research, 12, 307±327 at an advanced stage in the fault evolution there remains considerable evidence for fault growth by linkage as well as radial propagation of faults. Signi®cantly, the four longest faults (5, 9, 16, 17) all have irregular displacement pro®les. The scale range of faults examined in this study was insuf®cient to establish the D±L relationship for the system; however, it is still possible to look at the relative D±L relationships of individual faults. The fault displacement patterns found in this study support previous work (e.g. Peacock & Sanderson, 1991., 1996.; Peacock, 1991.; Cartwright et al., 1995., 1996.) that suggests fault displacement±length plots signi®cantly deviate from the ideal cohesive-zone models of fault growth (e.g. Cowie & Scholz, 1992a.; Scholz et al., 1993.) due to the effects of fault interaction and linkage. The scatter is large, with variations in displacement for faults of 1000±1500 m length almost spanning an order of magnitude (Fig. 11.). The scatter can be partially attributed to varying degrees of fault linkage. Low D±L faults tend to show multiple linkage of similar displacement magnitude faults (e.g. faults 5 and 16) and the shorter faults in the data set. Due to problems of resolution it is uncertain whether the shorter length, low D±L faults represent multiple linkage faults or faults that failed to build displacement because they were in stress shadows as described by Cowie (1998.). Even the faults with relatively low D±L-values plot in the central to upper parts of the data envelope of two previous studies (Cartwright et al., 1995.; Nicol et al., 1996.; Fig. 11.). Hence in the Central basin faults have built much higher displacements for their length than has generally been identi®ed in previous studies. The anomalously high D±L values in the Central basin are largely associated with en echelon faults in multifault synthetic transfer zones. The faults display asymmetric smooth pro®les or multiple peaked pro®les where a larger displacement fault has linked with smaller displacement faults. Previous outcrop studies (Peacock & Sanderson, 1996.; Cartwright & Mans®eld, 1998.) have determined tip gradients ranging up to 0.25; some faults in the Mae Moh mine exhibit very high tip gradients (®rst maximum tip gradients up to 0.6). Faults with simple symmetric and asymmetric displacement pro®les and relatively high D±L values appear to be associated with faults that propagated early in their development into overlapping synthetic transfer zone geometries (e.g. Fig. 16b.). The map geometries of the normal faults indicate a number of synthetic transfer zones are present, characterized by relay ramps. However, displacement transfer between overlapping neighbouring faults is highly variable (ranging from high to low) and appears to re¯ect whether faults propagated relatively early or late into overlapping con®gurations (with respect to building of signi®cant displacement). The relatively rapid development of overlapping con®gurations creates a greater potential for high conservation of displacement between adjacent faults (e.g. faults 1-2-3 and 11-12-13-17). The strains not accommodated by displacement transfer 325 C. K. Morley and N. Wonganan between two or more principal faults must be accommodated instead by (1) zones of relatively high-strain ductile deformation and/or (2) a relatively broad region where strain is transferred between faults of similar and opposite dip. Fault groups 6-7-8-9 shows low conservation of displacement, with displacement dropping up to 100 m within the relay ramp system between faults 6 and 9. However, summed displacements across all mapped faults in the study area consistently add up to < 150 m across fault group 6-7-8-9 (Fig. 16., pro®le N80uE). These data indicate that fault group 6-7-8-9 did not act as a selfcontained displacement system. Instead, strain was conserved across a relatively broad region between mappable faults. Signi®cant increases in ductile strain to compensate for the drop in displacement did not apparently develop. ACKNOWLEDGMENTS We would like to thank the EGAT staff at the Mae Moh mine, particularly the Geotechnical Engineering Department, Geology Department and Administrative Division for their helpfulness in enabling the project to be conducted; they provided accommodation, transport, other logistical help, excellent geological data and an enjoyable working atmosphere. The Universiti of Brunei Darussalam is gratefully acknowledged for providing funding for the project. D. Peacock and C. Childs are thanked for detailed and constructive reviews that helped improve the manuscript. REFERENCES ANDERS, M.H. & SCHLISCHE, R.W. (1994) Overlapping faults, intrabasin highs and the growth of normal faults. J. Geol., 102, 165±180. BARNETT, J.A.M., MORTIMER, J., RIPPON, J.H., WALSH, J.J. & WATTERSON, J. 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Received 19 January 2000; revision accepted 27 September 2000 327
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