Abstract
Nature is not random as we often assume for the simplicity of mathematical calculations. Scaling or power laws, also known as fractal behavior, are ubiquitous in nature, and the analysis of many physical properties of the earth shows fractal behavior. In this chapter attempt is made to integrate the geological understanding and fractal behavior of the faults to use this knowledge in practice. This understanding could potentially help to reduce the uncertainty and risk in the fault modelling and some of the properties associated with the faults such as transmissibility and shale gauge ratio. The study aims at understanding faults in hydrocarbon reservoirs, however, the concepts are universally valid and could be useful for the readers interested in seismology or mining-related studies as well.
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References
Bonnet E, Bour O, Odling NE, Davy P, Main I, Cowie P, Berkowitz B (2001) Scaling of fracture systems in geological media. Rev Geophys 39:347–383
Childs C, Manzocchi T, Walsh JJ, Bonson G, Nicol A, Schopfer MPJ (2009) A geometric model of fault zone and fault rock thickness variations. J Struct Geol 31:117–127
Chilès J-P, Bourgine B, Castaing C, Genter A (2000) Stochastic modelling and simulation of fracture populations in petroleum and geothermal reservoirs. In: Kleingeld WJ, Krige DG (eds) Geostatistics 2000, Cape Town, South Africa, vol 1, pp 413–423
Davy Ph, Sornette A, Sornette D (1990) Some consequences of a proposed fractal nature of continental faulting. Lett Nat 348:56–58
Dimitrakopoulos R, Li S (2001) Quantification of fault uncertainty and risk management in longwall coal mining: back-analysis study at North Goonyella Mine, Queensland. In: Doyle R, Moloney J (eds) Geological hazards—the impact to mining, pp 175–182
Dimri VP (2000) Application of fractal in Earth sciences. A.A. Balkema, Oxford; IBH Pub. Co., New Delhi, p 238
Dimri VP (2005a) Fractal behaviour of the Earth system. Springer, New York, p 207
Dimri VP (2005b) Fractals in geophysics and seismology: an introduction, fractal behaviour of the Earth system. Springer, New York, pp 1–22
Dimri VP, Vedanti N, Chattopadhyay S (2005) Fractal analysis of aftershock sequence of Bhuj earthquake—a wavelet based approach. Curr Sci 88(10):1617–1620
Dimri VP, Srivastava RP, Nimisha Vedanti (2012) Fractal models in exploration geophysics. Elsevier Science Publishers, Amsterdam
Endres H, Samiee R, Lohr T, Krawczyk CM, Tanner DC, Trappe H, Thierer PO, Oncken O, Kukla PA (2008) Quantitative fracture prediction from seismic data. Pet Geosci 14(4):369–377
Fossen H, Gabrielsen RH (2005) Strukturgeologi. Fagbokforlaget, 369Â pp
Gauthier BDM, Lake SD (1993) Probabilistic modelling of faults below the limit of seismic resolution in Pelican Field, North Sea, offshore United Kingdom. AAPG Bull 77(5):761–777
Gillespie PA, Howard CB, Walsh JJ, Waterson J (1993) Measurement and characterization of spatial distributions of fractures. Tectonophysics 226:113–141
Gupta A, Scholz CH (2000) Brittle strain regime transition in the Afar depression: implications for fault growth and seafloor spreading. Geology 28:1087–1090
Holden L, Mostad P, Nielsen BF, Gjerde J, Townsend C, Ottesen S (2003) Stochastic structural modeling. Math Geol 35(8):899–914
Mostad P, Gjerde J (2000) Multifractal fault simulation. In: Kleingeld WJ, Krige DG (eds) Proceedings of the geostatistics 2000, Cape Town, South Africa, pp 358–368
Munthe KL, More H, Holden L (1993) Sub-seismic faults in reservoir description and simulation. SPE paper no 26500
Ramsay JG, Huber MI (1987) The techniques of modern structural geology. Academic Press, San Diego, 700 p
Scholz CH (1997) Size distribution for large and small earthquakes. Bull Seismol Soc Am 87: 1074–1077
Scholz CH, Dawers NH, Yu J-Z, Anders MH, Cowie PA (1993) Fault growth and fault scaling laws: preliminary results. J Geophys Res 98:21951–21961
Sengupta P, Nath SK, Thingbaijam KKS, Mistri S (2011) Fractal analysis of major faults in India on a regional scale. JGSI 78:226–232
Spyropoulos C, Scholz CH, Shaw BE (2002) Transition regimes for growing crack populations. Phys Rev 65:056105
Sunmonu LA, Dimri VP (2000) Fractal geometry of faults and seismicity of Koyna-Warna region west India using landsat images. Pure Appl Geophys 157:1393–1405
Turcotte DL (2011) Fractals and Chaos in geology and geophysics. Cambridge University Press, Cambridge, New York, 221 p
Acknowledgements
I am highly indebted to Prof. V.P. Dimri for his kind invitation to contribute a chapter in this volume. He has been a constant inspiration for this chapter, and has been very patient even after my never-ending delays in writing this chapter.
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Srivastava, R.P. (2016). Fractal Faults: Implications in Seismic Interpretation and Geomodelling. In: Dimri, V. (eds) Fractal Solutions for Understanding Complex Systems in Earth Sciences. Springer Earth System Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-24675-8_3
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DOI: https://doi.org/10.1007/978-3-319-24675-8_3
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