Limestone-marl alternations in epeiric sea settings – witnesses of environmental changes, or of rhythmic diagenesis? Hildegard Westphal1, Axel Munnecke2, Florian Böhm3, Stefan Bornholdt4 1) Fachbereich Geowissenschaften, Universität Bremen, Marum Building, Leobener Straße, D-28359 Bremen, Germany, [email protected] 2) Institut für Paläontologie, Universität Erlangen, Loewenichstraße 28, D-91054 Erlangen, Germany, [email protected] 3) Leibniz-Institut für Meereswissenschaften, IfM-GEOMAR, Wischhofstraße 1-3, D24114 Kiel, Germany, [email protected] 4) Institut für Theoretische Physik, Universität Bremen, Otto-Hahn-Allee, D-28359 Bremen, Germany, [email protected] For: Dynamics of Epeiric Seas: Sedimentological, Paleontological and Geochemical Perspectives; edited by Chris Holmden and Brian R. Pratt; Geological Association of Canada Special Volume “[A test] appears to indicate that many limestones can be produced solely by rhythmic unmixing of CaCO3 during diagenesis. Unless such limestones can be clearly distinguished from those that record genuine environmental signals, orbital cycle analysis based on such sequences will give meaningless results“(Hallam, 1986) Westphal et al. “Limestone-marl alternations in epeiric sea settings” Abstract Limestone-marl alternations are widespread and typical sediments of epeiric basins and are present in variable abundance throughout the entire Phanerozoic. In many cases, their rhythmic appearance is interpreted as a direct response to orbital forcing. However, it is a challenge to unequivocally prove a sedimentary origin of the rhythmic intercalation of the two lithologies. This difficulty arises from differential diagenesis that alters limestone beds in different ways than interlayers (marls), causing a loss of comparability between the lithologies. Differential diagenesis, between other effects, causes passive enrichment of 2 absolute concentrations). Systematic differences in diagenetically inert parameters can provide unequivocal proof of primary differences. In the studied limestone-marl alternations, however, such parameters do not directly reflect the lithological rhythm, shedding doubt on limestone-marl alternations as direct archives of environmental change. Box model computer simulations visualize possible effects of early diagenetic change acting on limestone-marl alternations, independent of the presence or absence of a primary rhythm. The simulations demonstrate that diagenesis has the potential to seriously distort any primary rhythm Fig. 1: Occurrence of fine-grained calcareous rhythmites (limestone-marl alternations and nodular limestone successions) from literature compilation based on databases including ISI Web of Science, GEOREF and GEOBASE (data compilation available upon request from the authors). The reported occurrences are normalized for the time span of the interval they represent. Also shown: tropical shelf area (TSA) through time (dashed line, after Walker et al., 2002), and ratio of Mg to Ca ions in ocean waters through time (solid line, after Stanley and Hardie, 1998). the inert non-carbonate fraction in interlayers, where calcium carbonate is being dissolved, as well as passive dilution in limestone beds, that are cemented by imported calcium carbonate. Therefore, unequivocal information about systematic differences in the precursor sediments of limestones and interlayers therefore is preserved only in parameters that are not modified during diagenesis. Such diagenetically inert parameters include the spectra of organic microfossils (but not their absolute concentration in the bulk sediment) and the ratios of diagenetically inert trace elements (again not the present in the pristine sediment. In particular, differential compaction acting mainly on the marl interlayers induces distortions of the ratios of the original frequencies. These simulations emphasize the difficulties in conducting frequency analyses on carbonate contents of real-world successions. Keywords for index: anactualism, aragonite, aragonite sea, calcite, calcite sea, cellular automaton, cementation, compaction, computer simulation, diagenesis, differential Westphal et al. “Limestone-marl alternations in epeiric sea settings” diagenesis, dissolution, distortion, environmental archive, environmental conditions, insolubles, limestone-marl alternation, Milankovitch, model, overprint, palynomorphs, sedimentary record, selforganization, stratigraphic record, rhythmites 1. Introduction – a brief review of limestonemarl alternations Limestone-marl alternations are a widespread and characteristic facies of epeiric sea basins with famous examples in the Ordovician of N-America and the western and central High Atlas (Morocco), the Silurian of Northern Europe, the Triassic of the Carpathians, the Mississippian of Montana, the Jurassic and Cretaceous of Central and Western Europe, and the Cretaceous of the Western Interior Seaway and in Venezuela (e.g., Davaud and Lombard, 1975; Courtinat, 1993; Holmden et al., 1998; Samtleben et al., 2000; Westphal and Munnecke, 2003; Chacrone et al., 2004; Rey et al., 2004; Tomasovytch, 2004; see also several chapters in Einsele et al., 1991). Limestone-marl alternations are known from deposits of all Phanerozoic ages, even though their abundance varies strongly for the different geologic periods (Fig. 1; see also Westphal and Munnecke, 2003). The abundance roughly follows the oscillations between calcite and aragonite seas (Sandberg, 1983; Stanley and Hardie 1999) with high abundances during times of calcite seas and lower abundances during times of aragonite seas. In Jurassic and Cretaceous epeiric sea deposits, such alternations are particularly widespread. Limestone-marl alternations are characterized by their conspicuous outcrop appearance with a pronounced ABAB rhythm of more weathering-resistant limestone beds and softer interbeds (see overview in Einsele and Ricken, 1991). They can be viewed as part of a continuum of bimodal micritic alternations ranging from limestonechalk to limestone-shale alternations, and including lithographic and nodular limestones, and well-bedded limestones (Munnecke and Samtleben, 1996; Westphal et al., 2000; Munnecke et al., 2001; Munnecke and Westphal, 2004). This group of sedimentary facies is referred to as "fine-grained calcareous rhythmites" in the present manuscript. Large epeiric seas offer favourable conditions for the generation of fine-grained calcareous rhythmites for several reasons (cf. various chapters in Einsele et al., 1991). (1) Tropical epeiric seas provide marginal areas for the production of shallow-water carbonate deposits that can be winnowed into the 3 more distal parts of the basin. (2) A shallow wave base, as usually encountered in epeiric seas, and the low relief prevent deposition of coarse-grained sediments in the distal parts of the basin and favor the fine-grained sedimentation typical for limestone-marl altenations. (3) Furthermore, the surrounding land provides the input of siliciclastics, of which, in a sufficiently large epeiric basin, mostly clay-sized material will reach the depositional site where it can form marls. Such an epeiric setting provides all ingredients for forming potentially sensitive recorders of climate cycles as fine-grained calcareous rhythmites. Therefore, the cyclic patterns of fine-grained calcareous rhythmites are often regarded as indicators and recorders of orbitally forced climatic cycles (see chapters in de Boer and Smith, 1994 and Einsele and Ricken, 1991). In contrast to shallow-water carbonate platfoms, the basinal setting allows for continuous records even during sea-level lowstands. Nonetheless, the basinal sediments record the environmental changes affecting the shallow-water platforms in their imported, shallow-water produced portion. The clay portion also potentially reflects climatic conditions that influence the weathering of the hinterland. In addition, varying nutrient fluxes related to variations in weathering patterns are potentially recorded in paleontologic parameters such as calcareous nannofossil ratios. Thus, fine-grained calcareous rhythmites offer a wealth of parameters that turn them into potential archives of climate variations. One difficulty, however, arises from the fact that fine-grained calcareous rhythmites generally are strongly affected by differential diagenesis. Their bimodal lithologic character of limestone beds intercalated in softer interlayers is largely a product of differential diagenesis, regardless of the presence or absence of primary sedimentary rhythms (see below). This fact is still underestimated in many studies that interpret rhythms of various lithological, paleontological, or geochemical parameters in limestone-marl alternations as direct expressions of orbital climate forcing (cf. Fischer, 1980; Sprenger and ten Kate, 1993; Schwarzacher, 2000; Cleaveland et al., 2002; Strasser et al. 2005). In this paper we will review and present published and new geochemical data and modeling results to illustrate the problems involved in interpreting fine-grained calcareous rhythmites as one-to-one recorders of climate cycles. Westphal et al. “Limestone-marl alternations in epeiric sea settings” 1.1. What is so special about limestonemarl alternations? Fine-grained calcareous rhythmites show a wide range of morphological variations from limestoneshale alternations to “classical” limestone-marl alternations, to lithographic limestone, and to nodular limestone. They formed in both, well-oxygenated waters, as indicated by strong bioturbation and benthic fossils, and under dysoxic or anoxic conditions, as indicated by internal lamination and the absence of benthic fossils. Despite of the wide range of morphological variations, the two intercalated lithologies are clearly distinguishable in the field because the limestone beds are more weathering-resistant than the interlayers. The boundaries between the two lithologies usually are relatively sharp. Within an alternation, the limestone beds generally have higher carbonate contents than the adjacent softer interlayers, even in successions where on a large scale the carbonate content in each of the two lithologies varies strongly along the vertical succession. In contrast to other rhythmically deposited facies such as glacial varves or tidalites, fine-grained calcareous rhythmites show indications of strong diagenetic alteration that are fundamentally different for the two intercalated lithologies. The two lithologies have followed two distinctly different diagenetic pathways in spite of their common burial history. This is called differential diagenesis (Reinhardt et al., 2000; Westphal et al., 2000), and results in distinctly different characteristics for the two lithologies: Limestone beds in such rhythmites are largely uncompacted, as indicated by the usually undeformed trace fossils and organic-walled microfossils (e.g., Kent, 1936; Hallam, 1964; Henningsmoen, 1974; Jones et al., 1979; Möller and Kvingan, 1988; Raiswell, 1988; Westphal and Munnecke, 1997). This clearly indicates that cementation occurred during early diagenesis, i.e. prior to mechanical compaction. Interlayers, in contrast, are uncemented, resulting in higher vulnerability to weathering. They are always intensely compacted as indicated by their deformed trace fossils that in many cases form diagenetic pseudolamination (Kent, 1936; Sujkowski, 1958; Noble and Howells, 1974; Ricken, 1986, Munnecke and Samtleben, 1996). This differential diagenesis most conclusively is explained by migration of calcium carbonate into the limestone layers where it forms cement occluding the initial porosity, whereas no calcium carbonate is imported into the interlayers. It is widely accepted today that the calcium carbonate cement in the 4 limestone beds was sourced from calcium carbonate dissolution in the interlayers (“donor” and “receptor” limestones of Bathurst [1971]; see also, e.g., Ricken 1986, 1987). Many researchers today favor a model for the origin of fine-grained calcareous rhythmites where subtle differences in primary carbonate content steer the diagenetic reinforcement that finally leads to strong lithologic differences of the diagenetically mature rhythmite (e.g., Reboulet and Atrops, 1997; Schwarzacher, 2000; Hilgen et al., 2003). Other researchers propose a purely diagenetic origin at least for certain limestone-marl alternations (e.g., Hallam, 1964; Munnecke and Samtleben, 1996). Two models on differential diagenesis of fine-grained calcareous rhythmites are currently discussed, that differ fundamentally in their mechanisms. The now classical model of Ricken (1986, 1987) involves pressure dissolution (chemical compaction) of calcite in the interlayers in the deepburial environment as source of the cement for the limestone beds. In contrast, the model by Munnecke and Samtleben (1996) is based on dissolution of aragonite in the shallow marine burial environment sensu Melim et al. (1995, 2002), where aragonite dissolution and reprecipitation as calcite cement results from biogeochemically induced gradients in the pore-water (Raiswell, 1988; Munnecke and Samtleben, 1996; Munnecke et al., 1997; Westphal, 1998; Melim et al., 2002). Both models have in common that diagenesis takes place outside the reach of fresh water influence, and that the soft precursor sediments of limestones and interlayers were much more alike in terms of carbonate contents than the diagenetically mature limestone beds and marls. A profound difference between both models is the availability of carbonate cement. In the model of Munnecke and Samtleben (1996) the amount of cement carbonate is limited by the amount of aragonite in the precursor sediments. When the entire aragonite in the interlayer has been dissolved, early diagenesis comes to a halt. In aragonite-poor sediments, for example, this necessarily results in a low limestone/interlayer thickness ratio of the diagenetically mature succession (Munnecke, 1997; Munnecke et al., 2001). In Ricken’s (1986) model, theoretically the entire calcium carbonate present in the precursor sediment of the interlayer layer can be dissolved by chemical compaction. The widely applied model of Ricken (1986, 1987) faces the problem that limestone beds are usually uncompacted, which contradicts cementation in the deep burial diagenetic environment (Kent, 1936; Hallam, 1964; Henningsmoen, 1974; Jones et Westphal et al. “Limestone-marl alternations in epeiric sea settings” al., 1979; Möller and Kvingan, 1988; Raiswell, 1988; Westphal and Munnecke, 1997). Petrographic observations that have caught differential diagenesis “in act” in Neogene sediments from the Bahama slopes have revealed that cementation in the limestone beds occurs very early and prior to compaction, and at the same time, the interlayers are strongly compacted and show signs of dissolution in aragonitic components (Westphal, 1998). Additionally, studies of numerous successions have demonstrated that while all other biotic associations in limestone beds and interlayers might be identical in limestones and interlayers, aragonitic remains only are preserved in limestones as molds or neomorphoses, whereas usually no traces of aragonitic skeletons are preserved in the interlayers (Wepfer, 1926; Kent, 1936; Seibold and Seibold, 1953; Walther, 1982; Munnecke and Samtleben, 1996; Reboulet and Atrops, 1997), implying that the absence of originally aragonitic material is caused by postdepositional processes. In contrast, primary calcitic fossils down to the size of nanofossils are present and usually well preserved both in limestones beds as well as in the interlayers, often with even higher abundances in the interlayers compared to limestones (Hemleben, 1977; Munnecke and Samtleben, 1996; Pittet and Mattioli, 2002). These findings argue against differential diagenesis by calcite pressure dissolution in the deep-burial environment and for aragonite dissolution in the early marine burial diagenesis environment as source of the cement in the limestone beds. On this basis, the question arises if there is sufficient aragonitic sediment during times of “calcite seas” for aragonite-driven differential diagenesis. More strikingly, why are fine-grained calcareous rhythmites more abundant in times of “calcite seas” compared to “aragonite seas” sensu Sandberg (1983) (Fig. 1)? In contrast to the modern interval of an “aragonite sea”, in times of “calcite seas” nonskeletal precipitates are thought to be predominantly calcitic. Nevertheless, aragonite-producing organisms flourish in “calcite times”, especially in tropical settings, although probably less abundant or less strongly calcified (Stanley and Hardie, 1998, 1999; Moñtanez, 2002; Ries, 2005). Therefore, the relatively low amounts of about 10% initial aragonite (Munnecke et al.; 2001) required for driving differential diagenesis in the shallow marine burial environment have potentially been present at all times in such tropical settings. The fact that finegrained calcareous rhythmites are much more abundant in the rock record of times of “calcite seas” than in that of “aragonite seas” nevertheless appears contradictory (Fig. 1). However, “calcite times” in 5 several respects provide more favorable sedimentary settings for the deposition of aragonite-bearing sediment than “aragonite times”, even though seawater chemistry favors calcite precipitation. “Calcite times” coincide with times of warmer global climate and extensive epeiric seas – both favorable conditions for carbonate-secreting communities including aragonitic organisms and thus for the formation of limestone-marl alternations. These conditions appear to have overrun the effect of sea-water chemistry (cf. Westphal and Munnecke, 2003; Munnecke and Westphal, 2005). 1.2. Environmental signals recorded in fine-grained calcareous rhythmites Limestone-marl alternations are usually interpreted to directly reflect cyclic palaeoenvironmental signals. The steering mechanisms for differential diagenesis, however, still are a matter of debate. It is tempting to regard primary differences in sediment composition (e.g., carbonate content, concentration of organic matter) as trigger. However, field observations show that in some cases primary differences in sediment composition do not match lithology. For example, in Figure 2a, a shell layer passes laterally from cemented limestone beds into uncemented interlayers. This indicates that – at least in exceptional cases – the same sediment (here the shell layer) can be transformed to both a limestone bed as well as an interlayer. On the other hand, some cemented limestone layers consist of different lithologies, e.g. mudstone and grainstone within a single bed (Fig. 2b). Here, a specific part of the primary sediment is diagenetically “united” within a single limestone bed by cementation despite of the strong primary differences in grain size, carbonate content, permeability etc. between the carbonate sand (now the grainstone) and the carbonate mud (now the mudstone). This cemented limestone is now underlain and overlain by carbonate-depleted interlayers (not on the photograph). This indicates, that differential diagenesis in this case did not strictly follow the strong primary differences in sediment composition but has “overrun” these differences. Differential diagenesis has profound effects on the interpretation of calcareous rhythmites: It not only results in an increase in carbonate content in the limestone beds, whereas at the same time the carbonate content in the interlayers are impoverished. It also accounts for differences in fossil associations and quantities, in the quantities of non-carbonate constituents, and in petrophysical properties Westphal et al. “Limestone-marl alternations in epeiric sea settings” 6 Fig. 2: Sketch showing the transformation of soft sediments to lithified rocks by differential diagenesis. (A) Detail of the Lower Visby Formation (lowermost Wenlock, north of Högklint, Gotland, Sweden) showing that a specific sedimentary layer can be transformed to both limestone and interlayer. (B) Detail of the Upper Visby Formation (lower Wenlock, Hallshuk, Gotland, Sweden). Despite the pronounced primary differences both sediments have been united in one cemented limestone bed. including porosity, permeability, and sonic velocity (Bathurst 1987, 1991; Munnecke, 1997; Westphal, 1998; Kenter et al., 2002). Carbonate redistribution results in a passive enrichment of insolubles (mainly clay minerals and primary calcitic constituents) in interlayers where aragonite is dissolved, and a passive dilution of the insolubles in the limestone beds by cementation. The spectrum of calcareous macro- and microfossils in limestone beds and interlayers therefore in many cases are not directly comparable in terms of primary differences between the two lithologies for two reasons. Firstly, the preservation potential in both lithologies is markedly different, and delicate fossils are commonly destroyed by mechanical compaction in interlayers (e.g., Munnecke and Samtleben, 1996). Secondly, because of the different physical behavior of the two lithologies, in many cases they are studied using different methods (e.g., thin sections for the limestone beds and sieving for the interlayers) that are well suited for each of the two lithologies, but can introduce artificial differences in the observed faunal spectra (e.g., foraminifers, see Seibold and Seibold, 1953). Thus, the absolute values of many measurable parameters are not directly comparable for the two lithologies, and cannot be directly interpreted in terms of primary, pre-diagenetic, sediment properties. These diagenetic peculiarities result in the highly controversial discussion on their origin and 7 Westphal et al. “Limestone-marl alternations in epeiric sea settings” interpretation that has a long tradition and is still ongoing. Are such calcareous ABAB rhythmites the direct result of fluctuating environmental parameters, or are they created by diagenesis, or by a combination of both (e.g., Semper, 1917; Seibold, 1952; Sujkowski, 1958; Hallam, 1964, 1986; Schwarzacher and Fischer, 1982; Ricken, 1986; Munnecke and Samtleben, 1996; Westphal et al., 2004b)? It appears straightforward to interpret such successions as manifestation of changes in input of siliciclastic sediment or primary carbonate productivity or both, in many cases driven by orbital forcing. However, the diagenetic changes related to redistribution of calcium carbonate introduce a severe problem in comparability between the lithologies. Study of diagenetically inert parameters offers the possibility to look behind the veil of diagenesis. 2. Diagenetically inert parameters as tool for assessing the record in a calcareous rhythmite As a result of differential diagenesis, the interpretation of many sediment parameters is far from straight-forward. Only parameters that are robust against differential diagenetic change are truly reliable as indicator of primary signals being represented in the rhythm of the alternation. Study of diagenetically inert parameters is a robust way to assess the environmental fluctuations recorded in the alternating lithologies of fine-grained calcareous rhythmites, and to avoid uncertainties imposed by diagenetic alterations (Westphal et al., 2000, 2004b). Two approaches for proving unequivocal primary signals appear promising: a paleontological and a geochemical one. We here first shortly discuss the paleontological approach before introducing the geochemical approach. We then present new results of geochemical studies. As mentioned above, there is a long-lasting discussion in the literature whether or not a diagenetic “unmixing” of a rather homogenous sediment is possible. Why is it so difficult to answer this question? To prove an environmental cause of a sedimentary rhythm is straight-forward: If limestones and interlayers show systematic differences in the composition (not the quantities) of diagenetically stable constituents, a sedimentary origin of the rhythm is evident (Fig. 3 left arrow). However, if such a systematic difference is not observed (right arrow) it is, in contrast, no proof for a diagenetic origin. In the latter case systematic differences could have existed in sediment parameters that have not been analyzed. They may also have been present in primary sediment parameters that were completely altered by the diagenetic processes, e.g., differences in primary porosity or in the content of organic material. In this case, absence of proof is no proof of absence. In any case, interpretations with respect to environmental changes such as orbital forcing should not be undertaken until a sedimentary origin of the rhythm is unequivocally proven (Hallam, 1986). This holds also for frequency analyses, which are no proof for a primary, environmental cyclicity (see below). 2.1. Paleontological approach Diagenetically inert parameters such as palynomorph assemblages (organic-walled microfossils, e.g. acritarchs, dinoflagellate cysts, etc.) potentially survive alterations imposed by typical early carbonate diagenesis, except for strong oxidation (Lind and Schiøler, 1994). Systematic differences in the qualitative composition of the assemblages in limestone beds and interlayers would clearly prove rhythmic changes of environmental conditions. Whereas many calcareous microfossils can be destroyed by compaction in the interlayers, simulating primary differences, palynomorphs are generally flattened in the interlayers, but usually are not destroyed, allowing for comparability of the assemblages in both limestone beds and interlayers (Westphal and Munnecke, 1997). Strong oxidation that could result in modification or even destruction of the palynomorph content can be determined by the presence/absence of amorphous organic matter (AOM) because this part of the organic residue is most vulnerable to oxidation. Palynological bed-bybed studies in fine-grained calcareous alternations are rare to date because (a) palynologists usually are more interested in long-term trends and therefore sample at lower resolution, and (b) palynologists prefer sampling interlayers because the abundance of palynomorphs normally is higher in interlayers compared to limestones (less acid required for preparation). In the few existing studies, however, changes in the marine palynofacies are not related to the cyclical lithology (Bergman, 1987; Brenner, 1988; Courtinat, 1993; Westphal et al., 2000, 2004b; Holstein, 2004). 2.2. Geochemical approach Early marine burial diagenesis usually affects certain chemical components of sediment much less than Westphal et al. “Limestone-marl alternations in epeiric sea settings” 8 Figure 3: Schematic drawing illustrating the “diagenetic dilemma”: Whereas a primary origin of a rhythmic deposit can be proven by systematic differences in the ratio of diagenetically stable components (e.g. differences in the palynomorph communities), it is impossible to prove a diagenetic origin. Even if no differences are observed in such ratios a primary origin of the rhythm is still possible because differences could have existed in either parameters that simply have not been measured, or in parameters that are completely altered by diagenetic processes (e.g. porosity, or content of organic matter). calcium carbonate components. In particular the components that are part of the siliciclastic portion of the sediment are less mobile than those of calcareous constituents. Many clay minerals and heavy minerals, such as rutile, usually are left unaltered by the early diagenetic processes that lead to the dissolution of aragonite and reprecipitation of calcite (Bausch, 1994; Bausch et al. 1994; Deconinck et al., 2003). This diagenetic inertia offers a tool for assessing environmental conditions such as subaerial weathering in the provenance area of the siliciclastic portion of mixed successions such as limestone-marl alternations. Therefore, diagenetically inert elements bound to these minerals (e.g. Ti, Al) potentially preserve information on environmental conditions. However, the absolute concentrations of these elements are shifted during diagenesis by dissolution of calcium carbonate in the interlayers and cementation in the limestones. The values therefore need to be normalized independently of calcium carbonate content; and the ratio of the concentrations of such elements has to be studied (e.g.,Ti/Al). Clay minerals represent the end product of continental weathering, and are ultimately transported into sedimentary basins. The climatic conditions and the composition of the rock being weathered have a profound influence on the type of clay being formed (Visser, 1991; Chamley, 1998; Thiry, 2000; Net et al., 2002; Ruffell et al., 2002; John et al., 2003). In a setting where alternating environmental conditions generated a rhythmic succession of limestone beds and marl interlayers, these changing conditions may be reflected in a unique chemical composition of each lithology. Subsequent early marine burial diagenesis may alter the bulk elemental percentages by adding or removing CaCO3, but will not affect the characteristic element ratios. Plotting two such element percentages (e.g. Al2O3 and TiO2) in a X/Y chart will show two separate populations of data points corresponding to the two lithologies, each following a different trend line. In particular the ratio Westphal et al. “Limestone-marl alternations in epeiric sea settings” between Al2O3/ TiO2 appears suitable for detecting primary differences in the sediment, because the titanium concentration shows a wide range for different clay minerals. Other elements are less suitable for this approach, e.g., elements such potassium that can adhere to clay minerals, show a less stable behavior during early diagenesis. In the literature, this rather simple test for a primary, nondiagenetic signal in a fine-grained calcareous rhythmite, however, is rarely applied, and systematic geochemical studies focusing on the ratios of diagenetically stable constituents are rare (e.g. Bausch, 1992, 2001, 2004; Bausch et al., 1994; Biernacka et al., 2005; Niebuhr, 2005). 3. Geochemical analyses Several successions of fine-grained calcareous rhythmites were studied with this geochemical approach, based on own data or on published data sets, by analyzing the ratios between Al2O3 and TiO2 concentration. In order to investigate the reliability of this method we compare “classical” calcareous rhythmites with a section that clearly reflects an environmental rhythm (“Trubi” Formation): (1) The “Trubi” Formation; lower Pliocene; Punta di Maiata, Sicily. In outcrop, the “Trubi” Formation shows grey-white-beige-white quadripartite colour cycles. The grey layers consist of bioturbated marl with an average carbonate content of 67%, whereas the beige coloured layers represent indistinctly laminated marls with an average carbonate content of 61%. The whitish layers, separating the two coloured marl types, have slightly elevated carbonate contents (average 72%; own unpublished data; cf. Nijenhuis et al., 1999). A primary, environmental origin of the alternating lithologies is evident from the differences in bioturbation and lamination between the grey and beige marls. Additionally, the two different marl types are clearly distinguished in the geochemical data that show a bimodal distribution in their Al/Ti ratios (Fig. 4A). The white layers are less well defined by Al/Ti ratios. They may represent a variety of the marls that was diagenetically enriched in calcium carbonate. Both, sedimentological and geochemical data unequivocally prove a primary, non-diagenetic origin of the cyclicity in the “Trubi” Formation. (2) “Classical” limestone-marl alternations of Permian, Jurassic, and Cretaceous age. Without the development of two different populations, the Al2O3/TiO2 ratios of five "classical" limestone-marl alternations and one Plattenkalk succession (Fig. 4B 9 “Weltenburg”) do not reflect a primary sedimentary cyclicity (Fig. 4B). The data in each of the successions plot on a single regression line with high linear correlation coefficients (average r2 = 0.98). This means that even though limestones are characterized by lower contents of Al2O3 and TiO2 compared to the interlayers, both lithologies are indistinguishable in terms of the ratio of these diagenetically stable constituents. This uniformity of Al/Ti ratios in limestones and interlayers was confirmed by an additional statistical test. Assuming that Al/Ti ratios are equal in limestones and interlayers and that the observed variability is mainly due to random variations, the Al/Ti ratios are expected to be normally distributed. As shown in the histogram insets in Figure 4B this appears to be the case; in contrast to the clearly bimodal distribution of the "Trubi" Formation (Fig. 4A). The probabilities that the measured Al/Ti frequency distributions conform to a normal distribution are high in all cases, except for the "Trubi" Formation (Fig. 4). Only in this latter case we can reject the hypothesis of a normal Al/Ti distribution (goodness-of-fit ! 2 test; Davis, 2002). Clearly, this is no proof that the rhythmic successions summarized in Figure 4B represent entirely diagenetic rhythms. It only shows that a primary origin of these rhythms is not proven by the measured parameters (according to Fig. 3, right arrow). 4. Computer simulations 4.1. Simulations as a tool to assess postdepositional distortions To gain a better understanding of the dynamics and complex effects of differential diagenesis, we created a computer model that implements in a schematic way the diagenesis model of aragonite dissolution and calcite reprecipitation described above. The crucial questions to be answered by the model approach are: What had diagenetically overprinted successions looked like prior to diagenesis? Is a rhythmic variation required in the original composition of the sedimentary succession, or can differential diagenesis generate a cyclic succession from homogeneous sediment? Can differential diagenesis transform random variations in the pristine sedimentary composition into a cyclic succession? On the other hand, if there were a cyclic succession of pristine sediments, how would differential Westphal et al. “Limestone-marl alternations in epeiric sea settings” 10 Fig. 4: Al2O3/TiO2 data from different sections. (A) Data from “Trubi” Formation (S-Sicily) plot on two separate trend lines, indicating a bimodal chemical composition of the non-carbonate fraction, and, thereby varying environmental conditions.. (B) Data from several calcareous rhythmic successions (own and published data) with a linear correlation. Frequency distributions of the Al/Ti ratios are shown in a histogram for each section. A normal distribution is expected if the Al/Ti ratios vary randomly about a single mean value. More complex variations, producing a multimodal distribution, are expected for non-random (e.g. rhythmic) fluctuations. The probability (p) that a measured Al/Ti frequency distribution conforms to a normal distribution was calculated with a goodness-of-fit !2 test (Davis, 2002). The p values allow only for the “Trubi” Marls to reject the hypothesis of a normal Al/Ti distribution. diagenesis alter the original cyclic signal? We here employ a two-dimensional computer simulation of the relevant aspects of differential diagenesis (aragonite dissolution, calcite reprecipitation; compaction) to answer these questions. This approach allows us to study lateral as well as vertical processes. Westphal et al. “Limestone-marl alternations in epeiric sea settings” 4.2. Approach and method The computer simulation is based on a cellular automaton. Space is divided into cells on a rectangular lattice, where each cell models a macroscopic volume of the sediment such that the whole field can represent a geologic succession with vertical and lateral dimensions. The interaction between the cells implements the aragonite dissolution and calcite reprecipitation dynamics of the rhythmic diagenesis model by Munnecke and Samtleben (1996) described above. It thus simulates the diagenetic redistribution of calcium carbonate during early diagenesis in the shallow marine burial environment. The computer model originally has been designed to produce output in the time domain, i.e., for constant sedimentation rates and without compaction (Böhm et al., 2003; Westphal et al., 2004a). Here we present a modified version where compaction has been implemented. A brief description of the computer model is given below; for a detailed description see Böhm et al. (2003) and Westphal et al. (2004a). Similar to standard stratigraphic simulations, the model is a cellular automaton model setup consisting of a rectangular matrix of cells. Here a version is employed, where each cell can assume only discrete states. In our case the model requires three possible states of a cell (Fig. 5): (1) The first 11 state, “aragonitic”, represents a pristine sediment consisting of aragonite, calcite and clay minerals; (2) The second state, “non-aragonitic”, represents either a pristine, originally aragonite-free sediment, or a diagenetically altered, aragonite-depleted sediment consisting of calcite and clay minerals; and (3) the third state, “cemented”, represents sediment in which calcite cement is added to the pristine (aragonitic or non-aragonitic) sediment. In the pristine sediment, “aragonitic” and “non-aragonitic” cells are randomly distributed in each new layer. For implementing a time-series signal, the percentage of “aragonitic” cells in the pristine layers is varied randomly or systematically. E.g., to illustrate the effects of rhythmic diagenesis on a cyclic sedimentary succession we use the 65°N summer insolation curve of Berger and Loutre (1991) to which we couple the percentage of “aragonite” cells in a layer. The insolation curve includes the influences of precession, obliquity, and eccentricity, i.e., the basic “Milankovitch parameters”. It represents a complex cyclic signal that has variance in a range of different frequency bands of geologically meaningful wavelengths. The model diagenetic environment is layered into several zones (Fig. 5): (i) The uppermost layer is a non-reactive zone below the sediment-water interface. (ii) The zone underneath is a cementation zone, where calcite cement is precipitated. (iii) Further below, a non-reactive zone may be present Fig. 5: (A) Simplified diagenesis model for the computer implementation. Sediment is progressively buried and moves through stable diagenetic zones where aragonite dissolution and calcite cementation take place. Time step I: layer B is cemented by calcite cement derived from dissolution of aragonite in layer A. Time step II: The cemented layer B enters the aragonite dissolution zone, but the aragonite present in layer B is “sealed” by cement, so little to no dissolution takes place; therefore layer C is not being cemented. Time step III: The uncemented layer C enters the aragonite dissolution zone, aragonite is dissolved and reprecipitated as calcite cement in layer D. This model demonstrates the possibility of self-organized diagenetic patterns. (B) Cellular automata model for diagenesis simulations. With each time step, cells representing the sediment move one layer downward. Three possible states of cells are: 1 “aragonitic”: consisting of aragonite, calcite, and terrigenous material; 2 “cemented”: calcite cement is added; 3 “non-aragonitic”: consisting of calcite and terrigenous material, either originally aragonite-free, or diagenetically aragonite-depleted. As a layer passes through the aragonite dissolution zone, aragonite is removed from state 1 cells. In this simulation run, for each cell where aragonite is dissolved, two cells in the cementation zone are cemented. An insolation signal is implemented by varying the percentage of “aragonitic” cells (after Böhm et al., 2003 and Westphal et al., 2004). Westphal et al. “Limestone-marl alternations in epeiric sea settings” 12 that is situated between the cementation zone and (iv) the underlying aragonite dissolution zone. (v) Finally, a non-reactive “historical zone” follows where no further shallow marine-burial diagenesis takes place. In the model, the thickness of the individual zones can be varied. In the dissolution zone, “aragonitic” cells are transformed to “non-aragonitic” cells. In the cementation zone, “aragonitic” and “non-aragonitic” cells are transformed to “cemented” cells. The number of the latter is limited by the number of cells that are dissolved in the dissolution zone. Layers of dominantly “cemented” cells form diagenetically mature limestone beds, whereas layers of dominantly “non-aragonitic” cells form diagenetically mature marl interlayers. For the simulations shown here, two cells are cemented per dissolved aragonite cell. In all sequential operations, cells are accessed in random order to avoid artificial anisotropies. The simulation output is a sediment column with cemented and aragonite-free cells (Figure 6 gives an example of a simulated succession). Earlier simulations with the computer program used here (Böhm et al., 2003; Westphal et al., 2004a) did not consider further distortion of the primary signal by differential compaction. Here we extend the model with the ability to simulate differential compaction of the sediment column. Differential compaction generates uncertainties in the depth-totime transformation (Hinnov, 2000). In fine-grained calcareous rhythmites cemented limestone beds usually are not compacted whereas interbeds always are compacted (see above). This early compaction is a combination of loss of primary porosity and volume loss by aragonite dissolution. A section measured in a rock succession, i.e., in the depth domain, therefore cannot be directly fed into frequency analysis, i.e., into the time domain. Differential compaction in a fine-grained calcareous rhythmite distorts any primary signal. Decompaction calculations that distinguish between the two intercalated lithologies are required to original cellular automaton model is a succession of layers that, as sedimentation rates are held constant, represent equal time of sediment accumulation. The compaction algorithm uses as input the average aragonite content of each individual layer, measured before diagenetic alteration, and the average cement content of the same layer, measured after diagenetic alteration. The thickness of each layer is then reduced according to these two variables as follows. Layers with cement content above a specified threshold value, Ct (40% in the standard calculation, 70% in the enhanced-compaction experiment), are not compacted. The thickness of all layers with less cement is reduced by 20% to account for mechanical compaction of primary pores. Fig. 6: Example of simulated diagenetically mature fine-grained calcareous rhythmites. The modeled sequence includes a Milankovitch signal (65°N summer insolation spectrum; Berger and Loutre, 1991) that is distorted by the diagenetic overprint. Left: Milankovitch signal fed into the simulation. Right: sedimentary column of cemented “limestone beds” and uncemented “interbeds”. Conspicuous intervals with decoupling of neighboring cell domains and subsequent reorganization of well-defined layering are indicated on the right. (Parameters used for simulation: diagenetic cycle period: 50 ka; distance between cementation and dissolution layer: 25 layers; simulation time step: 1 ka (1 layer per ka); simulated time: 3 Ma (3003 layers.)). 13 Westphal et al. “Limestone-marl alternations in epeiric sea settings” Additional compaction of these layers results from volume loss due to the dissolution of aragonite. In our experiments we define that aragonite dissolution leads to a compaction of 75% of the aragonitic portion of each layer in addition to the 20% mechanical compaction. The remaining 5% account for non-dissolvable residuals including primary calcite and non-carbonate materials. As a result, the maximal compaction of an uncemented aragonitic layer is 95%, which would correspond to a parting between limestone beds. Slight early cementation of such layers reduces compaction and is accounted for by subtracting the cement portion from the aragonite portion. The compacted layer thickness (CLT) is therefore calculated as CLT = 1 - k * (0.2 + 0.75 * (ara - cem)) where the initial layer thickness is 1, k is a scaling factor, ara and cem are the aragonite and Fig. 7: Power spectra of simulated rhythmic sequences (bold lines) overprinted by different diagenetic cycle frequencies compared to primary signal (65°N summer insolation spectrum; Berger and Loutre, 1991) (fine lines). The original frequency spectra are modified in four different ways: (A) Amplification: Minor peak in the insolation spectrum (11 ka) is amplified by resonance with the diagenetic cyclicity. (Note: diagenetic cement spectrum shows harmonics due to the rectangular shape of the diagenetic cycles.) (B) Emergence: spectral peaks (114 ka and 12 ka) not present in the input signal emerge. (C) Suppression: precession frequencies are suppressed. (D) Displacement: obliquity cycle period (41 ka) displaced towards shorter wavelength. MEM=maximum entropy method. (From Westphal et al., 2004a) Westphal et al. “Limestone-marl alternations in epeiric sea settings” cement content in vol%, respectively, and ara > cem. For ara < cem the last term is set to zero. The scaling factor k was varied between 0 (no compaction) and 1 (full compaction) to study the impact of increasing compaction intensity on the recorded signal. The cement content of a compacted layer has to be recalculated, because this value represents a volume-based percentage in our model and therefore changes with compaction: cemc = cemi / CLT where subscripts c and i refer to compacted and initial layers, respectively. The compaction procedure results in a sequence of layers of non-uniform thickness and varying cement content. To generate an equal-spaced 14 series of cement content values for frequency analysis (which corresponds to equal sampling distance in real-world successions), the sequences need to be resampled. Frequency spectra of the resulting sequences were analyzed with the maximum entropy method (MEM) using the SSA-MTM toolkit of Ghil et al. (2002). 4.3. Results of earlier simulations without compaction In simulations with the diagenetic cellular automaton model, differential diagenesis generates laterally extended layers of fine-grained calcareous rhythmites only where a primary sedimentary signal synchronizes the oscillating cells to form continuous beds. Otherwise, randomly distributed nodules form due to the limited horizontal coupling of the Fig. 8: Effects of varying compaction on the frequency spectra of modeled fine-grained calcareous rhythmites. Simulated sediment column is given in Figure 6, uncompacted frequency spectrum is shown in Figure 7C. Compaction further disturbs the spectrum. Ten spectra are plotted in each panel with compaction intensity (k) increasing from top to bottom. Corresponding peaks are connected with grey bars. With increasing compaction spectral peaks are shifted towards higher frequencies. (A) Standard compaction scenario with 40% specific threshold value Ct (for explanation of this value see text). (B): In the enhanced compaction scenario (Ct = 70%) an additional peak occurs at a periodicity of 19-20 ka at high compaction intensities (k>0.4). High-frequency peaks (periods <11 ka) show no consistent trends with increasing compaction. Spectra are calculated in the linear depth domain. Peaks are labeled with the corresponding time domain periodicities. Westphal et al. “Limestone-marl alternations in epeiric sea settings” diagenetic behavior of neighboring cells (Böhm et al., 2003). With typical diffusion coefficients and compactional flow velocities for fine-grained sediments, diffusive transport prevails only at distances of less than a few meters (Berner 1980). At larger distances transport will be dominated by the vertical compactional flow. This limits the horizontal range of chemical interactions to scales that are much smaller than those typical for the laterally extensive beds of fine-grained calcareous rhythmites. An external signal, implemented in the model by variations in the aragonite portion, synchronizes the diagenetic bedding; even a random or low frequency external signal imposes sufficient control to synchronize the high-frequency couplets. Temporal decoupling of neighboring cell domains is shown in Figure 6 (middle and upper part of the column). Phase offsets between neighboring cell domains are caused by small random disturbances, either when the primary signal becomes too weak or when the diagenetic cycle and the primary signal have different frequencies and get out of phase. Synchronization by a strong primary signal, in phase with the diagenetic oscillator, can reorganize the cell domains to form laterally extended homogenous layers (Fig. 6). Thus, according to our simulations and general considerations, a primary sedimentary signal is a necessary prerequisite for generating laterally extensive fine-grained calcareous rhythmites. A purely self-organized origin of laterally extensive beds is not possible with the currently available diagenetic concepts. On the other hand, our simulations show that differential diagenesis is able to distort the primary sedimentary signal in a number of ways. A primary (regular, random, or Milankovitch) signal undergoes dramatic changes in character during diagenesis. The frequency of the signal not only may be shifted (Böhm et al., 2003), but in addition new frequencies may emerge, other frequencies may be suppressed, and some frequencies may be amplified while others are reduced (Fig. 7; Westphal et al., 2004a). These distortions of the original frequencies have serious implications for the interpretation of diagenetically mature fine-grained calcareous rhythmites. Carbonate contents and lithology (limestone beds versus interlayers) cannot directly be interpreted in terms of frequencies of original environmental signals without independent proof (paleontological, geochemical) of the primary origin of the intercalated lithologies. 15 4.4. New simulations: the effect of differential compaction In addition to the distortions of the primary sedimentary signals by dissolution and cementation, differential compaction further distorts the spectral characteristics of fine-grained calcareous rhythmites. This compaction affects individual limestone and interlayers with different intensities depending on the primary aragonite content and the degree of precompactional cementation. Therefore the distortions are not removed by simple linear decompaction algorithms. In addition, bio- or magnetostratigraphic resolution is usually not sufficient to resolve differential compaction effects, so they cannot be accounted for in time-depth models. A straightforward effect of the decreased thickness of interlayers due to compaction is that the spectral peaks are shifted towards shorter periodicities with increasing compaction intensity (Fig. 8). Higher frequencies are generally more affected than lower ones, leading to an increasing distortion of the frequency ratios with increasing compaction. This is particularly relevant as these ratios are often used by sedimentologists to identify Milankovitch cyclicities in sedimentary sequences. The most prominent example for such frequency ratios is the 1:5 bundling of the eccentricity/precession relationship that is often used as a spectral Milankovitch fingerprint (Schwarzacher, 2000). Finally, with very strong compaction, spurious spectral peaks may emerge, further obscuring the signal (Fig. 8). In summary, our simulations show that a mature limestone-marl alternation may constitute a very poor representation of its original sedimentary precursor sequence, especially with respect to its frequency characteristics. 5. Conclusions In this article we reviewed calcareous rhythmites (including the “classical” limestone-marl alternations) and their diagenesis, both, from the perspective of geological models as well as with the aid of a computer simulation that makes visible the spatio-temporal dynamics of the diagenesis model. Fine-grained calcareous rhythmites have undergone differential diagenesis. Cemented, uncompacted limestone beds are intercalated in uncemented, compacted interlayers. Despite the distinct cyclicity Westphal et al. “Limestone-marl alternations in epeiric sea settings” 16 seen in outcrop or core, however, it is surprisingly difficult to determine the presence of an environmental trigger forcing or underlying the lithologic intercalation. Differential diagenesis modifies many sediment parameters in different ways in limestone beds and interlayers, destroying comparability. The investigation of diagenetically inert parameters including ratios of trace elements proves an important tool for approaching this question, because these ratios are not altered by differential diagenesis. Clearly, searching for unequivocal fingerprints of primary signals is essential for interpreting such successions, e.g., in terms of orbital forcing and chronostratigraphy. Frequency analyses are only reliable for successions where a sedimentary origin is clearly established, and where the differential compaction of limestone beds and interlayers can be accounted for. Surprisingly, none of the investigated alternations shows unequivocal evidence for environmental changes between limestones and interlayers. understood for reliably interpreting fine-grained rhythmic carbonate successions. The simulation results emphasize the possible dramatic effects of differential diagenesis, i.e., aragonite dissolution in interlayers and cementation in limestone beds, in overprinting and even generating lithologic alternations. Diagenetic redistribution of calcium carbonate and differential compaction has the potential to severely distort any primary signals recorded in the sedimentary column. The processes of differential diagenesis potentially result in amplification, displacement, suppression, and even in emergence of new cycle frequencies. Cyclic external input is not needed for the formation of cyclically alternating limestone beds and interlayers. Stochastic fluctuations in environmental parameters appear sufficient for the production of laterally extensive beds over distances much larger than nodule size. If external periodic signals are recorded in the pristine sediment, these signals may be severely distorted in the diagenetically mature succession. The simulations imply that even though primary, external fluctuations are required for the formation of cyclically intercalated limestone beds and interlayers, the original frequency spectrum of such primary signals may not survive differential diagenesis. Compaction additionally modifies the frequency spectrum of cycles. The thoroughly dynamic processes of diagenesis thus strongly influence the distribution of the interlayered lithologies in fine-grained calcareous rhythmites in a non-trivial way where new spectral peaks may emerge that do not carry any information on primary, environmental, frequencies. Diagenetic effects are far more than a “bother” that can be neglected – they have to be critically examined and ideally should be Bathurst, R.G.C., 1971, Carbonate Sediments and Their Diagenesis: Amsterdam, Elsevier, Developments in Sedimentology, v. 12, 620 p. Acknowledgements This study was supported by the German Science Foundation DFG (Fr-1134/4 und We-2492/1) and by a HWP grant of the University of Erlangen/State of Bavaria to HW. We gratefully acknowledge critical comments by Paul Myrow and Mario Coniglio. The geochemical data of the “Trubi” Formation samples were produced as part of Martin Wolf’s Master’s thesis. 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