Abstract

Throw-distance (T-D) and throw-depth (T-Z) plots are widely used by researchers and industry to examine the growth of normal faults. This study uses high-quality three-dimensional (3D) seismic and outcrop information to review the effect of data sampling on the interpretation of normal fault growth. The results show that the accuracy of T-D and T-Z data, and of resulting fault slip tendency and leakage factor analyses, are dependent on the sampling strategy followed by interpreters and field geologists, i.e. on a Sampling Interval/Fault Length Ratio (δ) for discrete structures. In particular, this work demonstrates that significant geometric changes in T-D plots occur when a Module Error (εi) for the ratio δ is larger than 6%–9% for faults of all scales and growth histories. This implies that a minimum number of measurements should be gathered on discrete faults to produce accurate T-D and T-Z plots, and that the number of measurements is dependent on fault length. With no prior knowledge of fault segmentation, a δ value of 0.05 should be applied when interpreting faults to fulfil the pre-requisite of a ɛi < 6–9%. In all faults analysed, slip tendency and leakage factors were systematically misrepresented with increasing δ values. To disregard the limits proposed in this work results in: 1) a systematic underrepresentation of the isolated fault growth model, 2) a systematic misrepresentation of fault geometries and related damage zones, 3) the collation of erroneous fault scaling relationships, and 4) ultimately, unreliable interpretations of fault sealing properties. Hence, this work presents a new tool for interpreters and structural geologists to understand the sampling strategies necessary to obtain accurate fault throw and displacement data at different scales of analysis.

Highlights

  • In ‘constant length’ models, faults establish their near-final length at an early stage of their evolution, a phenomenon that is followed by predominant fault propagation in a vertical direction, e.g. dip-linkage reactivation (Cartwright et al, 1995)

  • In terms of the Sampling Interval/Fault Length Ratio δ, our results show that a threshold value of 0.1 is valid for isolated, discrete faults of all scales, i.e. data sampling should occur at a spacing of < 10% the fault length in order to obtain accurate T-D data for faults composed of only one fault segment (Fig. 9)

  • The parameter Module Error reflects the effect of distinct sampling intervals on the accuracy of fault geometry measured through T-D plots

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Summary

Introduction

Two end-member models explaining the growth of normal faults are the ‘isolated’ (Childs et al, 1995; Walsh et al, 2003), and ‘constant length’ fault models (Cartwright et al, 1995; Cowie and Scholz, 1992; Jackson and Rotevatn, 2013; Morley et al, 1990; Morley, 1999; Rotevatn et al, 2018; Walsh et al, 2002). When dealing with fault arrays, geometrical and kinematic coherence can be achieved for distinct fault segments through a combination of growth histories and geometries (Walsh et al, 2003; Mason et al, 2016). This means, in practice, that coherent faults can record discrete segments that grow, at smaller scales, following any of four growth models: ‘isolated’, ‘coherent’ through lateral linkage, ‘coherent’ through dip linkage and ‘constant length’ models

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