Numerical modelling of fault reactivation in carbonate rocks under fluid depletion conditions – 2D generic models with a small isolated fault
Introduction
Fault reactivation is a widely observed structural phenomenon important for both mineral and petroleum systems. For mineral systems, fault reactivation commonly results in the localization of deformation and dilation, permeability enhancement, fluid focusing and hence, favourable conditions for mineralization (e.g. Schaubs and Wilson, 2002, Sorjonen-Ward et al., 2002, Jolley et al., 2004, Zhang et al., 2008). For petroleum systems, fault reactivation and seal breach over geological time can reduce the integrity of hydrocarbon traps, leading to leakage of the accumulation and hence, represents a major risk for hydrocarbon exploration in regions experiencing tectonic events (e.g. Anderson et al., 1994, O'Brien et al., 1999, Gartrell et al., 2006, Langhi et al., 2010).
Most previous studies about fault reactivation concern fault structural behaviour under the active tectonics or during laboratory deformation. In a broad context, Sibson (1985) noted that fault reactivation accommodated the bulk of intra-plate deformation in frictional seismogenic regimes and he described the stress conditions for fault reactivation. Sibson's view is supported by extensive observations of fault reactivation in mineralized terrains or petroleum basins. Some examples include: (1) Bull and Scrutton (1990) reported fault reactivation in the Indian Ocean related to the rheology of oceanic lithosphere; (2) Cox (1995) showed that the reverse-fault reactivation for small shear stress and a large fluid pressure regime led to multiple episodes of fluid flow through the fault; (3) McClay and Bonora (2001) illustrated the formation of restraining step-over fault structures as the result of strike-slip reactivation of pre-existing fault systems, and compared similarities between the patterns from analogue models and several hydrocarbon fields/basins. Also, a large number of numerical modelling studies have simulated fault reactivation for convergent or extensional deformation conditions, such as: (1) Walsh et al. (2001) simulating the development of a growth fault for comparison with data from seismic interpretations; (2) McLellan et al. (2004) numerically modelling deformation localization and fluid flow around a normal fault in an extensional basin; (3) Zhang et al. (2009) modelling the distribution of down-throw, strain and fluid flow patterns around pre-existing faults for extensional conditions; (4) Buchmann and Connolly (2007) numerically simulating stress distribution and fault reactivation in the Upper Rhine Graben for transtensional conditions; and (5) Zhang et al. (2012) modelling the fault reactivation and fluid flow around a step-over “flower” fault structure for the Laverton gold region in the Yilgarn Craton of Western Australia for transpressional deformation conditions.
There is also another type of fault reactivation not directly related to active tectonics (i.e. under static conditions of the far-field stresses), which can be initiated by fluid injection (e.g. Van Ruth et al., 2006, Rutqvist et al., 2015) or depletion (e.g. Zoback et al., 2001, Safari et al., 2013), predominantly in sedimentary basins or the immediately underlying basement rocks. Fault reactivation as the result of fluid injection in a tectonically-static regime is easy to understand on the basis of conventional geomechanics, because the elevation of fluid pore pressure will decrease effective stresses and shift the Mohr's circle of stress for a fault toward the failure envelope (Safari et al., 2013). However, the geomechanical explanation for fault reactivation under fluid depletion conditions is less intuitive, because fluid pore pressure reduction will increase effective stresses and shift the stress Mohr-circle of the fault further away from the failure envelope. Segall (1989) attributed fault reactivation and seismicity during production in oil and gas fields to the development of pore pressure reduction and local contraction of the rock mass in response to pore fluid extraction, changes of poroelastic stresses and resultant local rock deformation. A number of more recent poroelastic studies (e.g. Zoback et al., 2001, Streit and Hillis, 2002, Hawkes et al., 2005, Nacht et al., 2010, Safari et al., 2013) proposed a geomechanical theory governing fault reactivation during reservoir depletion under a normal-faulting stress setting. Assuming the presence of stable vertical stresses (the maximum principal stresses) in reservoirs, these studies show that in poroelastic materials, decrease in the minimum horizontal stress accompanying a decrease in fluid pressure during depletion triggers fault reactivation. The ratio (A) between the minimum horizontal stress decrease and pore pressure decrease is a critical parameter that is determined by Poisson's ratio and Biot's coefficient (Zoback et al., 2001, Hawkes et al., 2005). For example, Zoback et al. (2001) showed that for the friction coefficient of 0.6 (friction angle = ∼31°), A ≥ 0.67 will trigger fault reactivation, but different critical ratio ranges are reported for different parameters and data (Streit and Hillis, 2002, Hawkes et al., 2005).
This study uses a coupled elastic-plasticity and fluid-flow numerical modelling approach to simulate the reactivation of a small isolated fault in a carbonate rock reservoir undergoing fluid depletion. The models are based on a set of specific laboratory experimental data for a deep carbonate reservoir. Our focus is on the geomechanical and hydrological impacts of fault reactivation in carbonate rocks including: 1) the patterns of strain and stress perturbation; 2) reactivation-associated fault and/or damage zone permeability development; and 3) effects on fluid flow patterns. This modelling study is part of a 3-year research program investigating fault reactivation in carbonate reservoirs in Brazil. As such, the generic models presented here reflect the relevant architecture and depth case of the reservoir, and model property parameters for laminated continental carbonate (travertine), fault core and damage zones are derived from laboratory work of this research program (Delle Piane et al., 2016, Giwelli et al., 2016a, Giwelli et al., 2016b).
Section snippets
Methodology and theoretical background
A 2D finite difference code, FLAC2D (Fast Lagrangian Analysis of Continua; Cundall and Board, 1988, Itasca, 2005) was used in the present model, which is capable of simulating the interactions between deformation and fluid flow in porous materials. The carbonate (travertine), fault and damage zones of the model are simulated by the Mohr-Coulomb elastic-plastic constitutive behaviour (Cundall and Board, 1988, Ord, 1991). The constitutive parameters required for such materials include Young's
Model geometry and simulated scenarios
The general geometry of the models is illustrated in Fig. 1a, a generic representation of a deep carbonate reservoir architecture with sealing upper and lower boundaries based on typical observations of pre-salt carbonate fields. The models simulate a cross section of 100 m by 10 m reservoir rock sequence, where the model top is at the depth of 5096 m (details of the overburden are described below). The reservoir contains a small isolated fault, 3 m long, dipping at 60°. Two structural
Fault-only scenario: fault permeability enhancement upon reactivation
This model scenario simulates a fault-only and depletion case (Fig. 1a and b) where fault permeability is allowed to increase from initially 1.974 × 10−17 m2 (0.02 mD) to 1.974 × 10−14 m2 (20 mD) with yield or failure. Fig. 3a shows that the fault and small areas adjacent to the fault tips yield in shear, an indicator of fault reactivation in the present model, after depletion conditions are applied and further equilibrium is reached. To understand stress conditions associated with fault yield,
Discussion
The results of our generic elastic-plastic models with a small isolated fault in carbonate rocks with normal-faulting stresses show that the fault and parts of associated damage zones reactivate in response to a decrease in pore pressure (−25 MPa) simulating fluid depletion. This outcome confirms previous poroelastic studies (e.g. see Zoback et al., 2001, Zoback, 2007) that the fault must already be very close to the critical stress condition, and the ratio between the horizontal stress
Conclusions
This study investigated the reactivation of a small isolated and critically-stressed fault and its associated permeability changes and fluid flow in carbonate rocks under a fluid depletion and normal-faulting stress setting, using well constrained mechanical and flow properties obtained experimentally and published separately. The key findings are:
- (1)
A critically-stressed fault with material parameters taken from laboratory studies, and boundary conditions obtained from a real reservoir situation,
Acknowledgements
We would like to thank Dr Juliet Crider and an anonymous reviewer for their critical and constructive review comments and suggestions and Prof William Dunne for his editorial comments, discussions and detailed edits, which have led to major improvement on the quality of this paper. We acknowledge Petrobras for funding this work. Flávia Falcão, Melissa Nogueira and Claúdio Lima are thanked for their contribution of numerous ideas and suggestions.
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