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Analog Models of Restraining Stepovers in Strike-Slip Fault Systems*

Ken McClay,1 and Massimo Bonora2

Search and Discovery Article #40015, 2001

*Adapted for online presentation from article of same title by same authors published in AAPG Bulletin, V. 85, No. 2 (February 2001), p. 233-260.

1Fault Dynamics Research Group, Geology Department, Royal Holloway University of London, Egham, Surrey TW20 OEX, United Kingdom; email: [email protected]
2Midland Valley, 14 Park Circus, Glasgow, G3 6AX, Scotland, United Kingdom

Abstract

Scaled sandbox models have successfully simulated the geometries and progressive evolution of antiformal pop-up structures developed in a weak sedimentary cover above restraining stepovers in offset sinistral strike-slip fault systems in rigid basement. Models were run both with and without synkinematic sedimentation, which was added incrementally to cover the growing antiformal structures. Vertical and horizontal sections of the completed models permit the full three-dimensional (3-D) structure of the pop-ups to be analyzed in detail. Three representative end-member experiments are described: 30° underlapping restraining stepovers; 90° neutral restraining stepovers; and 150° overlapping restraining stepovers.

The experimental pop-ups are typically sigmoidal to lozenge-shaped, antiformal structures having geometries that are dependent on both the stepover angle and stepover width in the underlying basement faults. Underlapping restraining stepovers typically form elongate lozenge-shaped pop-ups; 90° neutral restraining stepovers produce shorter, squat rhomboidal pop-ups; and overlapping restraining stepovers produce sigmoidal antiformal pop-ups. Trans pop-up cross fault systems are characteristic at large displacements on the basement fault system. Above the offset principal displacement zones, the pop-ups are commonly small, narrow, positive flower structures, whereas in the stepover region, they widen out and become markedly asymmetric. This pop-up asymmetry switches across the center of the stepover, where the pop-ups are largely symmetical. Maximum rotations measured within the central highly uplifted region of the pop-ups increase from 7° counterclockwise for the underlapping (30°) stepovers, to 14° counterclockwise for the neutral (90°) stepovers, to 16° counterclockwise for the overlapping (150°) stepovers.

In models where no synkinematic sediments were added during deformation, the pop-up structures are bound by convex, flattening-upward, oblique-slip reverse fault systems that link downward to the offsets in the basement fault system. In contrast, in the experiments where synkinematic sediments were added incrementally during deformation, the pop-ups are formed by oblique-slip reverse faults that steepen upward into the synkinematic strata with the formation of fault-propagation growth folds.

The analog models are compared with natural examples of pop-up structures and show strong similarities in structural geometries and stratal architectures. These models may provide structural templates for seismic interpretation of complex contractional structures in offset strike-slip fault systems.

List of Figures

Figure 1. General characteristics of strike-slip fault systems in plan view. (a) Bends in the fault surface produce localized zones of extension and subsidence, whereas restraining bends produce localized zones of contraction and uplift. (b) Stepovers between two offset fault systems produce either pull-apart basins for releasing stepovers or pop-ups and uplifts for restraining stepovers.

 

 

Figure 2. Experimental apparatus. (a) Plan view of experimental apparatus showing the two parts of the deformation table and computer-controlled stepper motors that drive each half. The model is constructed in the central part of the rig, and the sandpack is layered on top of baseplates having predetermined stepover geometries. (b) Stepover geometries analyzed in this article: 30° underlapping, 90° neutral, and 150° overlapping systems.

Figure 3. Sequential top-surface photographs showing the progressive evolution of experiment W306, 30° restraining stepover. (a) 2 cm displacement; (b) 4 cm displacement; (c) 6 cm displacement; (d) 8 cm displacement; (e) 10 cm displacement.

Click here for evolutionary sequence of a-e.

Figure 4. Serial vertical sections and a line diagram of the surface of experiment W306 after 10 cm sinistral strike-slip displacement on the basement fault system. Fifty serial sections were cut at 1 cm intervals across the model. Faults are numbered to permit correlation between the plan view diagram and the vertical sections.

Click here for comparison of line diagram and photograph in Figure 3e.

Figure 5. Sequential top surface photographs showing the progressive evolution of experiment W303, 90° restraining stepover. (a) 2 cm displacement; (b) 4 cm displacement; (c) 6 cm displacement; (d) 8 cm displacement; (e) 10 cm displacement.

Click here for evolutionary sequence of a-e.

Figure 6. Serial vertical sections and a line diagram of the surface of experiment W303 after 10 cm sinistral strike-slip displacement on the basement fault system. Fifty serial sections were cut at 1 cm intervals across the model. Faults are numbered to permit correlation between the plan view diagram and the vertical sections.

Click here for comparison of line diagram and photograph in Figure 5e

Figure 7. Sequential top-surface photographs showing the progressive evolution of experiment W309, 150° restraining stepover. (a) 2 cm displacement; (b) 4 cm displacement; (c) 6 cm displacement; (d) 8 cm displacement; (e) 10 cm displacement.

Click here for evolutionary sequence of a-e.

Figure 8. Serial vertical sections and a line diagram of the surface of experiment W309 after 10 cm sinistral strike-slip displacement on the basement fault system. Fifty serial sections were cut at 1 cm intervals across the model. Faults are numbered to permit correlation between the plan view diagram and the vertical sections.

Click here for comparison of line diagram and photograph in Figure 7e.

Figure 9. Experiment W305 after 10 cm sinistral displacement. (a) Top surface of model showing pop-up faults. (b) Horizontal section taken 1 cm below top surface. (c) Interpretation of b, showing the folds, faults, and bed-dip directions.

Click here for sequence of a-c.

Figure 10. Sequential top-surface photographs showing the progressive evolution of experiment W324, 30° restraining stepover. Synkinematic sedimentation was added incrementally after each 2 cm of displacement. (a) 2 cm displacement; (b) 4 cm displacement; (c) 6 cm displacement; (d) 8 cm displacement; (e) 10 cm displacement.

Click here for evolutionary sequence of a, c, e.

Figure 11. Serial vertical sections and a line diagram of the surface of experiment W324 after 10 cm sinistral strike-slip displacement on the basement fault system. Fifty serial sections were cut at 1 cm intervals across the model. Faults are numbered to permit correlation between the plan view diagram and the vertical sections.

Click here for comparison of line diagram and photograph in Figure 10e.

Figure 12. Sequential top-surface photographs showing the progressive evolution of experiment W314, 90° restraining stepover. Synkinematic sedimentation was added incrementally after each 2 cm of displacement. (a) 2 cm displacement; (b) 4 cm displacement; (c) 6 cm displacement; (d) 8 cm displacement; (e) 10 cm displacement.

Click here for evolutionary sequence of a, c, e.

Figure 13. Serial vertical sections and a line diagram of the surface of experiment W314 after 10 cm sinistral strike-slip displacement on the basement fault system. Fifty serial sections were cut at 1 cm intervals across the model. Faults are numbered to permit correlation between the plan view diagram and the vertical sections.

Click here for comparison of line diagram and photograph in Figure 12e.

Figure 14. Sequential top-surface photographs showing the progressive evolution of experiment W325, 150° restraining stepover. Synkinematic sedimentation was added incrementally after each 2 cm of displacement. (a) 2 cm displacement; (b) 4 cm displacement; (c) 6 cm displacement; (d) 8 cm displacement; (e) 10 cm displacement.

Click here for evolutionary sequence of a, c, e.

Figure 15. Serial vertical sections and a line diagram of the surface of experiment W325 after 10 cm sinistral strike-slip displacement on the basement fault system. Fifty serial sections were cut at 1 cm intervals across the model. Faults are numbered to permit correlation between the plan view diagram and the vertical sections.

Click here for comparison of line diagram and photograph in Figure 14e.

Figure 16. Experiment E307: 90° neutral stepover and 5 cm stepover width. (a) Photograph of the upper surface of the model after 10 cm displacement on the basement faults. (b) Structure contours of the upper surface of the model as interpolated from fifty serial sections across the completed model. (c) Longitudinal sections across model W307. (d) Perspective view of a 3-D visualization of the faults in model W307.

Click here for sequence of a-b.

Figure 17. Summary of pop-up structures for restraining stepover spacing from 10 to 2.5 cm. In all experiments displacement on the basement master faults was 10 cm. Sandpack thickness 5 cm.

Click here for sequence of underlapping stepover.

Click here for sequence of neutral stepover.

Click here for sequence of overlapping stepover.

Figure 18. Synoptic diagram illustrating the 3-D geometry of an idealized pop-up structure based on the results of the analog modeling program. T = baseplate movement toward viewer; A = baseplate movement away from viewer.

Figure 19. Map of the Echo Hills restraining stepover, southeastern Nevada (modified from Campagna and Aydin, 1991). LVSZ = Las Vegas shear zone; LMFS = Lake Mead fault system.

Figure 20. Simplified map of the Owl Creek pop-up structure, Wyoming (modified from Paylor and Yin, 1993).

fg21b.jpg (8986 bytes) Figure 21. (a) Landsat image of the Cerro de la Mica, Atacama strike-slip fault system, northern Chile. (b) Structural map of the Cerro de la Mica, northern Chile (map data courtesy of J. Reijs [1997, personal communication]).

Click here for sequence of landsat image and structural map.

Figure 22. Map and structure sections across the Pijnacker oil field, West Netherlands basin. Modified from Racero-Baema and Drake (1996).

 

Figure 23. (a) Map of the Quealy pop-up, Laramie basin, Wyoming. Structure contours are on top of the Lower Cretaceous Muddy sandstone, the uppermost reservoir unit in the Quealy Dome oil field. Map after Stone (1995). (b) Cross section AA' through the Quealy Dome structure. Modified (mirror image) from Figure 6 of Stone (1995).

CLICK HERE for sequence showing fault patterns with underlapping to overlapping stepovers.

Table 1. Summary of experimental results.

 

Contents

Abstract

List of Illustrations

Contents

Introduction

Experimental Procedure

Experimental Results

  Experiment Series: Without Synkinematic Sedimentation

  Experiment Series: With Synkinematic Sedimentation

  3-D Geometry and Variations in Stepover Width

Discussion

  Pop-Up Geometries

  Comparisons with Natural Examples of Pop-Up Structures

    Example 1: Echo Hills, Southeastern Nevada

    Example 2: Owl Creek Mountains, Central Wyoming

    Example 3: Cerro de la Mica, Atacama Fault System, Northern Chile

    Example 4: Pijnacker Field, West Netherlands

    Example 5: Quealy Dome, Wyoming

  Limitations of the Analog Models

  Implications for Hydrocarbon Exploration

Conclusions

References Cited

Authors

Acknowledgments

 

Introduction

Interpretation and analysis of complex three-dimensional (3-D) structures in the subsurface is one of the major challenges in hydrocarbon exploration. Seismic imaging of strike-slip structures is commonly very poor because of the steep stratal and fault dips as well as significant along-strike variations in structural geometries (cf. Harding, 1990; Sylvester, 1988). Scaled analog modeling has proved to be a powerful tool in developing an understanding of the geometries and kinematics of complex 3-D structures in sedimentary basins (e.g., extension structures: Withjack and Jamison, 1986; Serra and Nelson, 1989; McClay, 1990; Withjack et al., 1990; Tron and Brun, 1991; Vendeville, 1991; McClay, 1995a, b; McClay and White, 1995; contractional structures: Lallemand et al., 1992; Calassou et al., 1993; Malavieille et al., 1993; and strike-slip structures: Naylor et al., 1986; Mandl, 1988; Richard et al., 1989, 1991, 1995; Richard and Cobbold, 1990; Richard, 1991; Schreurs, 1994; McClay and Dooley, 1995; Dooley and McClay, 1997).

This article summarizes the results of a comprehensive suite of experiments designed to simulate the geometric and kinematic evolution of structures squeezed up at restraining bends and stepovers in strike-slip fault systems; in this article these structures are termed "pop-ups" (cf. Stone, 1995). In particular the models have incorporated syntectonic sedimentation during the deformation. This research is part of an ongoing program designed to develop an understanding of the four-dimensional (4-D) evolution of complex structures in sedimentary basins and follows an earlier article on the modeling of strike-slip pull-apart basins (Dooley and McClay, 1997). The experimental results provide templates for seismic interpretation of strike-slip pop-ups and insights into their kinematic evolution. The results of the analog models are compared and contrasted with natural examples of structures developed in sedimetary strata above restraining bends or stepovers in basement strike-slip fault systems.

Pop-ups and transpressional uplifts are an integral part of intraplate and interplate strike-slip fault zones (Sylvester and Smith, 1976; Christie-Blick and Biddle, 1985; Sylvester, 1988; Zolnai, 1991) and form at restraining bends or stepovers (e.g., Harding, 1974, 1990; Christie-Blick and Biddle, 1985; Harding et al., 1985; Lowell, 1985). They typically form anticlinal uplifts, commonly with doubly plunging arrangements of folds, and are of limited strike extent. In plan view they are broadly lozenge-shaped to rhomboidal in form, whereas in cross section they commonly bounded convex-up faults that flatten upward toward the surface forming positive flower or palm tree structures (e.g., Sylvester and Smith, 1987; Sylvester, 1988). In this article we use the general term "pop-up" to describe a domal uplift (cf. Stone, 1995) that has both positive structural and topographic relief. Many large intraplate strike-slip systems, for example, along the San Andreas fault system (Harding, 1976; Sylvester and Smith, 1976; Sylvester, 1988; Brown and Sibson, 1989; Jones et al., 1994; Powell et al., 1993) or along the Altai fault system in Mongolia (Cunningham et al., 1996) commonly have large-scale pop-ups associated with restraining bends and stepovers.

Bends and stepovers (jogs or offsets) in the principal displacement zones (PDZs) (e.g., Christie-Blick and Biddle, 1985) of a strike-slip fault system generally produce either zones of extension (pull-apart or stepover basins) at releasing bends or stepovers (Figure 1a) or regions of compression, uplifts, or pop-up structures (including positive flower-palm tree structures) at restraining bends or restraining stepovers (Figure 1b). The latter characteristically produce anticlinal uplifts in the overlying sedimentary section with older strata or basement exposed in the core (e.g., Crowell, 1974; Sylvester and Smith, 1976; Mann et al., 1983; Aydin and Nur, 1985; Christie-Blick and Biddle, 1985; Sylvester, 1988). Previous analog model studies of pop-ups have not fully addressed their progressive evolution, their 3-D structure, and in particular, their interaction with syntectonic sedimentation (cf. sandbox models in Horsefield, 1977, 1980; Naylor et al., 1986; Mandl, 1988; Richard and Cobbold, 1990; Richard, 1991; Richard et al., 1991; Schreurs, 1994; and Richard et al., 1995; and clay models in Wilcox et al., 1973; Keller et al., 1997). Here the results of a systematic series of restraining stepover analog models are presented in 3-D and are compared with a range of natural examples of in map and section view.

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Experimental Procedure

The scaled analog models were carried out using 5 and 10 cm thick sandpacks in a 120 X 60 cm deformation rig (Figure 2). Thin aluminium base plates cut in such a way so as to produce restraining strike-slip stepovers at angles from 30 to 150° (Figure 2) formed the offset fault system at the base of the model. Within the deformation rig a homogeneous prekinematic sandpack was constructed by mechanically sieving alternating 2-5 mm thick horizontal layers of white, blue (dyed), and black (dyed), 190 µm grain size, dry quartz sand. Dry quartz sand deforms according to Navier-Coulomb failure (Horsefield, 1977; McClay, 1990) and has been widely used to simulate the brittle deformation of sediments in the upper crust (e.g., Horsefield, 1977; Naylor et al., 1986; McClay, 1990; Schreurs, 1994; Richard et al., 1995; McClay and Dooley, 1995). The models have a model to tectonic prototype scaling ratio of ~10-5 such that 1 cm in the models represents ~1 km in nature (cf. McClay, 1990).

 The baseplates of the model were displaced by computer-controlled stepper motors such that they produced sinistral displacement at constant rate of 4 X 10-3 cm/sec. Prior to deformation, a 2 X 2 cm sand grid was placed on the upper surface of the model in order that progressive displacements and rotations could be monitored during the experiment. For the series of experiments incorporating synkinematic sedimentation, green and white sand layers were added to completely cover the pop-up structure after every 2 cm of total displacement on the basement master faults. The upper surface of each experiment was recorded by time-lapse photography at every 0.25 cm of displacement. Completed models were impregnated with a gelling agent and serially sectioned both vertically and horizontally for detailed analysis. Vertical sections were digitized into a workstation for 3-D reconstruction using 3-D Move. Experiments were run at least twice, enabling sectioning in different orientations. In all cases repeat experiments produced similar results.

The results of a comprehensive suite of experiments in which sinistral strike-slip faults in the rigid basement were offset at angles that varied from 30 to 150o in increments of 15o (cf. Figure 2) are presented. The width of the stepover was varied systematically from 2.5 to 10 cm, and the thickness of the prekinematic sandpack was varied from 5 to 10 cm. All experiments involved a total strike-slip displacement of 10 cm on the underlying basement master faults. One suite of experiments was run without the addition of synkinematic sedimentation, and the second suite with synkinematic sediments added incrementally throughout the deformation. In this article, representative results from these two groups of experimental results are shown for basement fault restraining stepover widths of 10 cm and prekinematic sandpack thicknesses of 5 cm. The stepover geometries used were 30° underlapping stepover, 90° neutral stepover, and 150° overlapping stepover (these angles are measured between the strike of the main fault segments and the line joining the tips of these faults in the stepover region, e.g., Figure 2).

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Experimental Results

The results from key representative stepover models are presented in the following section and summarized in Table 1. For this article, models having a sandpack thickness of 5 cm were chosen because they produced pop-ups that had more than one set of oblique reverse faults, as well as well defined internal structures. Models having 10 cm thick sandpacks produced comparatively simple pop-ups bounded by only two oblique-slip reverse faults and with little internal structure.

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Experiment Series 1: Without Synkinematic Sedimentation

30° Underlapping Restraining Stepover

After 1-2 cm sinistral strike-slip displacement on the basement faults, experiment W306 produced an initial broad zone of uplift localized above the basement stepover (Table 1; Figure 3a). The uplift was bounded by two sinistral, oblique reverse fault segments (Figure 3a). At 2 cm displacement, well-defined sinistral oblique-slip Riedel shears appeared above the main strands of the basement faults (Figure 3a). The central part of the model showed 5° counterclockwise rotation at this stage. With increased displacement, these Riedel shears link into an anastomosing array of faults that form the principal displacement zones (PDZs) in the sandpack. At 4 cm displacement, the pop-up structure is well defined, having two sets of reverse faults defining a rhomboidal uplift (Figure 3b). The outer pair of reverse faults defined the extremities of the uplift, and the internal pair of faults defined an inner zone of greater relief. At this stage, the maximum rotation of the central section of the model had increased slightly to 6°. >From 4 to 6 cm displacement, the uplift increased in amplitude, and deformation was mainly focused in the central part of the model. By 8 cm displacement a pair of oblique-slip, sinistral strike-slip faults cut across the central region of the pop-up and linked the two PDZs at each end of the model (Table 1; Figure 3d). The final structure after 10 cm of displacement consisted of an elongate, deformed rhomboidal pop-up in which the cross faults linked the two PDZs and concentrated much of the late stage displacement (Figure 3e). Maximum rotation of the central part of the pop-up was only 7° counterclockwise.

 Vertical serial sections through the completed model (Figure 4) show the along-strike change in symmetry within the model. In the sandpack beyond the extremities of the basement stepover, the PDZs form positive flower or palm tree structures that become asymmetric toward the basement stepover. The asymmetric pop-ups are formed by one steeply dipping reverse fault and by one more shallowly dipping oblique reverse fault (Figure 4). The sense of asymmetry switches across the center of the stepover (Figure 4). At the center of the stepover in the basement faults, the pop-up is symmetric and bounded on each side by divergent reverse faults (section 30 in Figure 4). The opposing asymmetries of the pop-ups at either end of the stepover reflect the decrease in along-strike displacement on the outer oblique reverse faults (Figure 4). The steep crosscutting strike-slip faults that link the PDZs appear to cut the earlier formed lower angle convex-up reverse faults that define the dominant asymmetric positive flower structure of the pop-up (Figure 4).

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 90° Neutral Restraining Stepover

Experiment W303, a 90° neutral restraining stepover, displayed a similar evolution to the 30° model described previously. A rhomboidal to slightly sigmoidal pop-up structure bounded by curved, oblique-slip reverse faults formed above the basement stepover (Table 1; Figure 5). The main differences in the evolution of this model were the shorter pop-up and the increased rotation and the development of small displacement antithetic, dextral shears in the central region of the pop-up (Table 1; Figure 5). In cross section the pop-up shows a distinct asymmetry, the sense of which switches across the center of the basement stepover (Figure 6).

 150° Overlapping Restraining Stepover

Experiment W309, a 150° overlapping restraining stepover, displayed a similar evolution to the models previously described but developed a strongly sigmoidal pop-up structure bounded by curved, oblique-slip reverse faults above the basement stepover (Table 1; Figure 7). This model also displayed increased rotation (16o after 10 cm of displacement) (Table 1) and the development of small displacement dextral and sinistral shears in the central region of the pop-up (Table 1; Figure 7). As in the other models described previously, the cross sections of the pop-up show a distinct asymmetry, which switches across the center of the basement stepover (Figure 8).

 Horizontal Sections

In addition to vertical serial sections, some models were sectioned horizontally to analyze the geometry at depth. Figure 9 shows the top-surface geometry and a horizontal section, at 2.5 cm below the crest of the pop-up, through experiment W305, a 90° neutral restraining stepover. The rhomboidal shape is clearly delineated together with the two pairs of sigmoidal, oblique-slip reverse faults that bound the inner and outer parts of the uplifted area. Note also the doubly plunging anticlinal nature of the pop-up with the main anticlinal axis that strikes counter to the overall sinistral shear displacement of the main fault systems (Figure 9c). The inner set of reverse faults defines a zone of greater uplift. The cross pop-up strike-slip faults that are seen on the upper surface of the model (Figure 9a) have sigmoidal traces in the horizontal section (Figure 9b) and link to the main PDZs at either end of the stepover structure. The synthetic and antithetic Riedel shears that are observed on the surface of the model (Figure 9a) are not found in the horizontal section, indicating their limited slip and relatively late stage of development.

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 Experiment Series 2: With Synkinematic Sedimentation

In this series of experiments, synkinematic sedimentation was added at the end of each increment of deformation burying the pop-ups and preventing the development of steep surface scarps above emergent fault surfaces. The photographs of the top surfaces of the models at each stage of the deformation therefore show the effects of the last deformation increment in the synkinematic layer.

30° Underlapping Restraining Stepover

After 1-2 cm of sinistral strike-slip displacement on the basement faults, synthetic Riedel shears formed above the offset segments of these faults together with a wide zone of gentle uplift above the basement stepover (Figure 10a). This uplift zone was bound by two weakly developed oblique-slip reverse faults, which with increased displacement, propagated along strike and formed sigmoidal linkages to the main PDZs (Figure 10b). At 4 cm of displacement a second set of sinistral, oblique-slip reverse faults formed at the extremities of the uplifted area. At this stage (Figure 10b), the internal pair of reverse faults defined an inner zone of greater relief, similar to that in the models without synkinematic sedimentation (cf. Figure 3). After 6 cm displacement (Figure 10c), activity on the inner right-hand oblique reverse fault ceased, and much of the late-stage displacement focused on the remaining faults (Figure 10d), forming an elongate deformed rhomboidal pop-up. This was also the geometry of the final structure after 10 cm displacement (Figure 10e). Trans pop-up oblique sinistral strike-slip faults do not appear to cut the structure. The rotations of the marker grid on the upper surface of the model are only very small (Figure 10), decreasing from 5° counterclockwise rotation at 2 cm displacement to only 1.5 to 2° rotation for each 2 cm deformation increment thereafter (Table 1).

Serial vertical sections across the final structure revealed the internal geometry of the pop-up (Figure 11). At the extremities of the pop-up structure, the narrow positive flower structures developed above both PDZs (Figure 11). The pop-up structure itself is characterized by distinctly asymmetric positive flower structures that switch polarities along strike (Figure 11). The positive flower structures are formed by oblique-slip reverse faults that are planar in the prekinematic strata and steepen upward in the synkinematic strata (Figure 11). The structure above the center of the basement stepover was symmetric, and the uplift was bounded on each side by two divergent reverse faults (Section 28 in Figure 11). Thickness changes in the synkinematic strata occurred where they thinned onto the hanging walls of the oblique-slip reverse faults forming fault-propagation growth folds (Figure 11).

90° Neutral Restraining Stepover

A similar progressive deformation pattern was exhibited by experiment W314, a 90° restraining stepover (Table 1; Figure 12). In contrast to experiment W324 (30° stepover) the pop-up was much broader and bounded by sigmoidal oblique reverse faults (Figure 12). Two trans pop-up cross faults cut the center of the uplifted area and linked to the offset PDZs. In the latter deformation stages, these sinistral faults accommodated much of the displacement (Figure 12d). In addition small displacement dextral shears were also developed in the center of the model during the late stages of deformation (Figure 12c-e). For each increment of deformation the maximum counterclockwise (i.e., sinistral) rotation of the marker grid lines was 2 to 3.5° (Table 1; Figure 12).

Serial vertical sections across the completed model revealed symmetric to slightly asymmetric positive flower structures formed along the main strands of the PDZs (Figure 13). The central section of the pop-up is symmetric and bound by moderately dipping, oblique-slip, concave-up reverse faults. The central part of the pop-up structure was also cut by well-developed cross faults (Section 19 in Figure 13). The synkinematic sediments thinned onto the crest of the pop-up and prevented the active faults from flattening out upsection toward the free upper surface of the model.

150° Overlapping Restraining Stepover

Experiment W325, 150° stepover, showed a similar evolution to model W314 (cf. Table 1; Figure 14) with the development of a strongly sigmoidal pop-up, the central section of which was cut by several sinistral cross faults (Figure 14). These cross faults were very distinct in the vertical sections (sections 24-30; Figure 15). For the initial two 2 cm increments of deformation (Figure 14), the maximum counterclockwise rotation of the grid lines was 4-5°, decreasing to 2° thereafter. As in all experiments, the pop-up was distinctly asymmetric either side of the central section of the basement stepover.

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3-D Geometry and Variations in Stepover Width

In all of the experiments described previously and summarized in Table 1, the stepover width was fixed at 10 cm. Reduction of the stepover width to 5 cm reduced the width of the resultant pop-up and for the same amount of displacement on the basement fault system produced pop-ups having more uplift and greater complexity of internal structure (Figure 16; experiment W307, 90° neutral stepover; Figure 17, see following section). Structure contours on top of the prekinematic surface for this model clearly revealed the strongly elevated core of the pop-up, the dissected nature of this central part, and the elongated rhomboidal nature of the whole structure. The complexity of internal faulting in this model was revealed by 3-D reconstruction using 3-D Move, where a perspective view of the faults was generated (Figure 16c). This clearly showed the sigmoidal shape of the oblique-bounding faults of the pop-up and the crosscutting faults in the center of the structure. As in most of the models constructed in this experimental program, all the faults that bound the pop-up structure root downward into the offset linear faults at the base of the model (Figure 16c). The asymmetry characteristic of the pop-ups produced in these experiments was produced by the changing 3-D geometry of the primary oblique reverse faults that link the offset PDZs.

In experiments where the width of the stepover was varied from 10 to 2.5 cm (summarized in Figure 17), a decrease in the stepover width produced a proportional decrease in the width of the pop-up and a corresponding increase in the surface relief of the pop-up, as the total displacement remained constant. Having stepover widths less than half of the total displacement along the master faults, underlapping and neutral basement configurations produced structures that can be best described as in-line uplifts (the axis of uplift closely parallels the PDZ) (Figure 17g, h) and only extreme overlap such as that in the 150° configuration produces a rhombic-shaped pop-up (Figure 17i).

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Discussion

Pop-Up Geometries

The experimental models of strike-slip pop-ups in this article reveal their progressive evolution in plan view and their 3-D structure in both vertical and horizontal sections (e.g., Figures 3-9, 16). The geometries of restraining stepover pop-ups were fundamentally controlled by the geometry of the stepover (underlapping-overlapping), the width of the stepover in the rigid basement beneath the sandpack (Figures 3-9, 16), and the thickness of the sandpack.

In models without synkinematic sedimentation, the finite pop-up geometries varied from elongate lozenge-shaped uplifts for 30° underlapping stepovers (Figures 3, 16), to broad rhomboidal shapes for 90° stepovers (Figures 5, 9, 13), to sigmoidal shapes for 150° overlapping stepovers (Figures 7, 15). All pop-ups are characterized by doubly plunging anticlines that produce four-way dip closures above the restraining stepover (Figures 9, 16). Having an increase in the amount of stepover, the pop-ups became wider, more sigmoidal, and developed crosscutting faults that linked the offset PDZs (Figures 5, 7, 9). In some models, small, antithetic (dextral) shears also cut the crests of the pop-ups. The addition of synkinematic sedimentation produced broader structures (Figures 10, 12, 14) as the sidewall bounding faults to the pop-up propagated upward through the synkinematic layers rather than flattening at the surface as in the models that had no synkinematic sedimentation. A decrease in the width of the stepover produced narrower pop-ups (Figure 17), but they had more complex internal structures (Figure 16). As in all sand analog models, the fault density decreases as sandpack thickness increases, such that 10 cm sandpacks generated relatively simple broad pop-up. Models run that had stepover widths of less than 50% total displacement produced narrow, in-line uplifts for underlapping to neutral baseplate configurations.

In vertical sections (cf. Figures 4, 6, 8), the PDZs at the extremities of the models were characterized by narrow positive flower structures. Deformation in the stepover consisted of strongly asymmetric pop-ups, except in their very centers, where broad symmetric pop-ups were formed. In most models, two pairs of oblique-slip reverse sidewall faults bound the pop-up. The inner fault pair produced a central zone of greater uplift and surface relief (Figures 3e, 5e, 7e). For models without synkinematic sedimentation, the bounding faults to the pop-ups are very steep, having dips ³75° in the basal parts of the model and flatten upward toward the free upper surface, giving a general convex-up fault profile. Models having synkinematic sedimentation typically produced pop-up faults that were gently concave upward (Figures 11, 13, 15) in cross section as a result of propagation through the synkinematic layers producing fault-propagation growth folds. The synkinematic strata thinned onto the crest of the pop-up anticlines and thickened away from them (Figures 11, 13, 15).

The upper surfaces of the pop-ups showed counterclockwise (sinistral) rotation indicated by the deformation of the grid lines on the surface of the models. The maximum rotation, after 10 cm displacement on the basement fault system, increased from only 7-7.5° counterclockwise for the 30° underlapping stepover (Figure 3), to 12-14° for the 90° neutral stepover (Figure 5); to 16° for the 150° overlapping stepover (Figure 7). The same pattern of increased rotation was observed for strike-slip pull-apart models (Dooley and McClay, 1997) and reflect the increasing difficulty of displacement transfer across the stepover with increased amount of stepover ( i.e., 30 to 90° to 150°). These rotations, however, are relatively small compared with those that might be expected in block-fault rotational strike-slip models (cf. McKenzie and Jackson, 1986) and those that are observed in complex restraining stepover systems along the San Andreas fault system in southern California (cf. 37 to 85°) (Dickinson, 1996; Sylvester, 1988). This most likely reflects the isotropic nature of the sandpack in the models, and larger rotations might be expected if competency contrasts and anisotropies were introduced into the models.

Figure 18 is a 3-D synoptic model of the fundamental pop-up architecture as seen in the analog models. This illustrates the curved nature of the primary sidewall reverse faults and the change in their geometries along strike. The pop-up asymmetry is generated as the bounding faults change from strike-slip to oblique reverse-slip along strike and as they link to the PDZs at the ends of the stepovers.

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Comparisons with Natural Examples of Pop-Up Structures

Many strike-slip fault systems are strongly segmented (e.g., the San Andreas system) (Jones et al., 1994; Peters et al., 1994; Zolnai, 1991; Sylvester, 1988; Powell et al., 1993), having thrust faults and anticlinal uplifts formed in regions of restraining stepovers in the fault system. Well-described natural examples of pop-ups are uncommon, probably because of the complex 3-D geometries of the fault systems and also because they are regions of uplift and, once formed, rapidly become eroded. Sylvester and Smith (1976) described complex palm tree structures: pop-up features having flattening upward reverse faults from the Mecca Hills region of the San Andreas fault system, southern California. Cunningham et al. (1996) interpreted several short, elevated mountain ranges along the North Gobi-Altai fault zone to have formed above restraining bends and stepovers in this sinistral strike-slip fault system. These mountain ranges have broad, doubly plunging antiformal shapes and are bounded by steep reverse faults. Their general form and topographic morphology are similar to that produced in the analog models described in this article. Natural pop-ups that show similar morphologies and structures to the analog models are briefly discussed in the following section.

Example 1: Echo Hills, Southeastern Nevada

The Echo Hills formed in a restraining stepover in the Bitter Spring Valley fault zone, north of Lake Mead, Nevada. The topography and fault patterns (Figure 19) as mapped by Campagna and Aydin (1991) show a rhomboidal zone of uplift that is bounded by steep reverse faults. The center of the uplifted block is cut by sinistral strike-slip faults that link the two PDZs (Figure 19). The structure of this pop-up is similar to the analog models and the map is most comparable to the surface views of the 30° restraining stepover models (cf. Figures 3, 4, 10).

Example 2: Owl Creek Mountains, Central Wyoming

The Owl Creek pop-up, central Wyoming (Paylor and Yin, 1993), formed in the stepover between the steeply dipping North Owl Creek fault in the northwest and the Shotgun Butte thrust system in the southeast (Figure 20). The Owl Creek structure consists of three dominant northwest-southeast-trending anticlines involving Precambrian through Permian rocks (Paylor and Yin, 1993) forming a complex pop-up structure. Its lozenge shape and map expression is similar to the patterns produced by the underlapping restraining stepover models (Figures 3, 4, 10).

Example 3: Cerro de la Mica, Atacama Fault System, Northern Chile

Cerro de la Mica, is a short, isolated range of uplifted Paleozoic volcanic and sedimentary rocks along the northern Atacama fault zone (Figure 21). Cerro de la Mica occurs at the stepover between two segments of the Jurassic-Cretaceous sinistral northern Atacama fault zone. The range is 800 m above base level, elongate, and bounded by steep reverse faults on each side. The internal structure is complex and has steeply dipping Paleozoic volcanic and sedimentary rocks (Figure 21b). The morphology and fault architecture of the Cerro del Mica is comparable to our experimental models where the restraining stepover was oriented at 30° (e.g., Figures 3, 4, 10).

Example 4: Pijnacker Field, West Netherlands

The Pijnacker field (Figure 22) is located at a right-stepping, restraining offset in a northwest-southeast-trending dextral strike-slip fault system (Racero-Baema and Drake, 1996). The field is located in an elongate lozenge-shaped pop-up that formed by inversion of an older rhomboidal pull-apart as a result of early Tertiary reversal of slip on the northwest-southeast boundary faults. The pop-up is bounded by concave-up reverse faults that produce an elongate S-shaped anticlinal structure (Figure 22). In this case the plan geometry of the pop-up indicates that the controlling faults were offset in an underlapping stepover geometry (cf. Figures 3, 5). The reservoir unit in this oil field is the Rijswijk sandstone (Racero-Baema and Drake, 1996).

Example 5: Quealy Dome, Wyoming

The Quealy dome (Figure 23) is formed between two northeast-trending, basement-involved, sinistral strike-slip faults in the Laramie basin, Wyoming (Stone, 1995). The pop-up formed between the North Quealy and South Quealy fault systems, 3.2 km apart (Figure 23a), and is characterized by an asymmetric dome bounded by gently concave-up thrust faults (Overland thrust and West Quealy thrust) (Figure 23). The map and cross sectional geometry of the Quealy pop-up closely matches the architecture of the 90o neutral stepover models (Figures 5, 6) and, in particular, the map pattern is very similar to the horizontal section of model W305 (Figure 9b).

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Limitations of the Analog Models

The geometries and kinematics of pop-up structures developed at retraining bends and stepovers in strike-slip fault systems can be successfully simulated using analog models as described previously. Important limitations to sandbox modeling, however, must always be considered when applying the results to studies of natural fault systems. Sandbox models cannot accurately simulate the thermal, flexural, and isostatic effects generated by, or associated with, faulting in the upper crust, nor do they consider the effects of pore-fluid pressures and compaction. Pure sand models, such as those described in this article, are isotropic, whereas in natural systems, the upper crustal strata would be expected to exhibit competency contrasts and anisotropies that would affect the fault geometries and in particular the development of folds and rigid block rotations. Natural pop-ups such as the Owl Creek (Figure 20) and the Ocotillo Badlands structures (Brown and Sibson, 1989) are strongly folded as a result of anisotropic layers in the stepover structure. In particular the models presented in this article do not incorporate plastic or ductile layers designed to simulate weak rocks such as salt or overpressured shale. Nevertheless, the usefulness of the analog models in understanding the progressive evolution of strike-slip pop-ups is demonstrated by the strong geometric similarities between the models and the natural examples described previously.

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Implications for Hydrocarbon Exploration

Strike-slip fault zones have long been associated with major hydrocarbon accumulations (e.g., Harding, 1973, 1974, 1976, 1990; Sylvester and Smith, 1976; Harding et al., 1985; Lowell, 1985; Biddle, 1991; Wright, 1991; Peters et al., 1994; Stone, 1995). Typical trapping mechanisms appear to be en echelon anticlines, in places combined with stratigraphic traps (Harding, 1974, 1990), formed at restraining bends or stepovers in the strike-slip fault system. Detailed 3-D structural analyses of such traps are uncommon except for the Pijnacker and Quealy fields described previously (Figures 20, 23). Other hydrocarbon accumulations that may occur in pop-up structures include those along the Newport-Inglewood fault trend, Los Angeles basin (Harding, 1973; Wright, 1991); the Whittier oil field, Los Angeles basin (Harding, 1974); the Wilmington oil field, Los Angeles basin (Wright, 1991); and the Point Arguello field, Santa Maria basin, offshore California (Mero, 1991). The structural information provided for these fields, however, is insufficient to enable accurate comparisons with the analog models presented in this article.

In the analog models anticlinal four-way dip closures are generated above restraining stepovers in the basement fault system. These are characterized steep reverse faults that bound the pop-ups and by elongate structure contour patterns (Figure 16b). The axes of the pop-up anticlines are oblique to the PDZs of the main basement fault systems (Figure 9c) Trans pop-up faults are late stage, compartmentalize the anticlines, and may result in fractured seals in the upper sections of the pop-ups. Three-dimensional visualization of pop-up fault systems (Figure 16c) illustrates the structural complexities and curvatures of the oblique-slip reverse faults that bound the pop-ups. Steep fault and stratal dips will probably not image well, and hence the analog models may provide guidelines for the structural interpretation of seismic sections across restraining stepovers in strike-slip fault systems.

Restraining stepovers are barriers to continued slip along major strike-slip fault systems. With increased displacement, the stepovers tend to be smoothed out by the development of through-going shears that transect the pop-ups and link the PDZs (cf. Figures 4, 6, 8). As a result, early-formed uplifted areas will become dissected, and fragmented pop-ups will be transported along the major strike-slip system. Cross sections through many of the oil fields along the Newport-Inglewood trend of the Los Angeles basin (Wright, 1991) resemble partial pop-up structures as would be expected to form if the analog model structures previously described were dissected and transported along a linked major strike-slip fault system.

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Conclusions

Scaled analog modeling has successfully simulated the development of pop-ups in a relatively weak sedimentary cover above restraining stepovers in sinistral strike-slip faults in rigid basement. In particular the models illustrate the progressive evolution of the pop-ups together with the geometries of the growth sequences deposited at the same time as the uplift developed. Vertical and horizontal sectioning of the completed models allowed the full 3-D architecture of the pop-up system to be visualized. Lozenge-shaped pop-ups are characteristic of underlapping stepovers, whereas rhomboidal and strongly sigmoidal pop-ups are characteristic of neutral and overlapping stepovers, respectively. In cross section the pop-ups are dominantly asymmetric with the bounding faults dipping inward into the basement fault systems. Symmetric pop-up geometries are only found above the central sections of the basement stepovers. All pop-ups produced in the modeling program were doubly plunging anticlines that produced four-way dip closures. With increased stepover angle (neutral to overlapping) and increased displacement on the basement fault systems, crosscutting faults transect the central sections of the model pop-ups.

Natural examples of pop-ups from various strike-slip terranes show comparable morphologies and structures to the analog models. Many pop-ups, however, are eroded, and their full 3-D fault architecture is not discernible. The analog models described in this article may provide guidelines for the interpretation of seismic sections across restraining stepovers in strike-slip systems. Additional, well-imaged, 3-D seismic examples of contractional structures at strike-slip restraining bends and stepovers are needed, however, to fully test the applicability of these analog models to natural strike-slip systems.

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AUTHORS

Ken McClay comes from Adelaide, Australia. He has a B.Sc. (honors) degree from Adelaide University and an M.Sc. degree and Ph.D. in structural geology from Imperial College, London. He lectured at Goldsmiths College and is now at Royal Holloway University of London. He has been professor of structural geology since 1991 and is director of the Fault Dynamics Research Group. He was AAPG distinguished lecturer in North America 1994-1995 and AAPG International distinguished lecturer 1998-1999. His research involves extension, thrust, strike-slip, and inversion terranes and their applications to hydrocarbon exploration. He publishes widely, consults, and gives short courses to industry.

Massimo Bonora comes from Ferrara, Italy. He received his degree in geological sciences from Ferrara University and his M.Sc. degree in basin evolution and dynamics from Royal Holloway University of London. Between 1995 and 1998 Massimo worked as a research assistant in the Fault Dynamics Research Group at Royal Holloway. Massimo is now working as a structural geologist within the Latin America team at Midland Valley Ltd. in Glasgow, Scotland.

ACKNOWLEDGMENTS

The research for this article has been supported by the Fault Dynamics Project (sponsored by ARCO British Limited, Petrobras .K. Ltd., BP Exploration, Conoco (U.K.) Limited, Mobil North Sea Limited, and Sun Oil Britain). Ken McClay also gratefully acknowledges funding from ARCO British Limited and BP Exploration. We thank J. Reijs for the data for Figure 21. Critical reviews by A. Sylvester, D. Stone, and J. Sheridan were greatly appreciated. We thank Tim Dooley for many fruitful discussions and assistance with drafting diagrams. Howard Moore constructed the deformation apparatus. Fault Dynamics Publication No. 74.

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