Fractal-geometry techniques in the quantification of complex rock structures: A special view on scaling regimes, inhomogeneity and anisotropy

Kruhl, Jörn H.

doi:10.1016/j.jsg.2012.10.002

Cited by 105 publications

(54 citation statements)

References 259 publications

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“…Miao et al (2015b) derived the analytical expressions for the permeability of fracture networks based on the fractal length distribution of fractures. More advances on fractal properties of fracture systems can consult to the recent review works (Kruhl, 2013;Liu et al, 2016c).…”

Section: Fractal Properties Of Fracture Networkmentioning

confidence: 99%

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Wei

Xia

2017

Adv. Geo-Energ. Res.

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Fractures and fracture networks play an important role in fluid flow and transport properties of oil and gas reservoirs. Accurate estimation of geometrical characteristics of fracture networks and their hydraulic properties are two key research directions in the fields of fluids flow in fractured porous media. Recent works focusing on the geometrical, fractal and hydraulic properties of fractured reservoirs are reviewed and summarized in this mini-review. The effects of several important parameters that significantly influences hydraulic properties are specifically discussed and analyzed, including fracture length distribution, aperture distribution, boundary stress and anisotropy. The methods for predicting fractal dimension of fractures and models for fracture networks and fractured porous media based on fractal-based approaches are addressed. Some comments and suggestions are also given on the future research directions and fractal fracture networks as well as fractured porous media.

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Section: Fractal Properties Of Fracture Networkmentioning

confidence: 99%

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Wei

Xia

2017

Adv. Geo-Energ. Res.

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“…Selon Bodin & Razack (1999), les travaux sur les lois de distribution des espacements entre les fractures d'un réseau remontent à plusieurs dizaines d'années (Priest & Hudson, 1976), et demeurent encore sujet de controverse (Dershowitz & Einstein, 1988). Dans cette optique, des différentes lois de distribution ont été ajustées aux données d'espacement: loi log-normale, négative exponentielle, loi normale et loi de puissance (Bonnet et al, 2001;Peacock & Mann, 2005;Zazoun, 2008;Kruhl, 2013).…”

Section: éTude Du Réseau De Fracturesunclassified

“…Par ailleurs, les caractéristiques de fracturation peuvent être modifiées localement dans le cas de fractures tectoniques liées à une faille majeure ou un pli (Peacock, 2001). Depuis les études de Mandelbrot (1975) sur les concepts de la géométrie fractale, de nombreux auteurs ont utilisé la technique de l'analyse fractale dans une tentative pour caractériser la géométrie à deux dimensions des réseaux de fractures (Allègre et al, 1982;Turcotte, 1986;Chilès, 1988;Turcotte, 1992;Gillespie et al, 1993;Bodin & Razack, 1999;Bonnet et al, 2001;Zazoun, 2008;Kruhl, 2013). Selon Mandelbrot (1975), le terme d'auto-similarité est utilisé pour les objets où des parties de l'objet ressemblent à l'ensemble.…”

Section: Introductionunclassified

La fracturation et les bandes de déformation dans la région d’El Kohol (Atlas saharien central, Algérie): analyse fractale, lois d’échelles et modèle de réseaux de fractures discrètes

Zazoun¹,

Marok²,

Samar³

et al. 2015

Estud. geol.

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“…Efforts by structural geologists to constrain multiscale characteristics include: the recognition of scale-dependent fault-displacement scaling relationships in a specific tectonic setting (Bergen & Shaw 2010); the quantification of distinct scaling relationships for different categories of structures that form on similar scales (fractures, deformation bands) (Schultz et al 2013); new fractal geometry methods that offer alternative views on scaling, inhomogeneity and anisotropy (Kruhl 2012); and stronger insights into stratigraphic and diagenetic controls on multiscale fracturing (Barbier et al 2012). Further studies of scaling relationships in fault systems attempt to reconcile the processes that drive a wide scatter in the overlap and separation distances of relay zones with a strong power-law relationship that persists over eight orders of magnitude (Long & Imber 2011).…”

Section: Selected Advancesmentioning

confidence: 99%

Fundamental controls on fluid flow in carbonates: current workflows to emerging technologies

Agar

Geiger

2014

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The introduction reviews topics relevant to the fundamental controls on fluid flow in carbonate reservoirs and to the prediction of reservoir performance. The review provides research and industry contexts for papers in this volume only. A discussion of global context and frameworks emphasizes the value yet to be captured from compare and contrast studies. Multidisciplinary efforts highlight the importance of greater integration of sedimentology, diagenesis and structural geology. Developments in analytical and experimental methods, stimulated by advances in the materials sciences, support new insights into fundamental (pore-scale) processes in carbonate rocks. Subsurface imaging methods relevant to the delineation of heterogeneities in carbonates highlight techniques that serve to decrease the gap between seismically resolvable features and well-scale measurements. Methods to fuse geological information across scales are advancing through multiscale integration and proxies. A surge in computational power over the last two decades has been accompanied by developments in computational methods and algorithms. Developments related to visualization and data interaction support stronger geoscience-engineering collaborations. High-resolution and real-time monitoring of the subsurface are driving novel sensing capabilities and growing interest in data mining and analytics. Together, these offer an exciting opportunity to learn more about the fundamental fluid-flow processes in carbonate reservoirs at the interwell scale.

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Fractal-geometry techniques in the quantification of complex rock structures: A special view on scaling regimes, inhomogeneity and anisotropy

Cited by 105 publications

References 259 publications

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

La fracturation et les bandes de déformation dans la région d’El Kohol (Atlas saharien central, Algérie): analyse fractale, lois d’échelles et modèle de réseaux de fractures discrètes

Fundamental controls on fluid flow in carbonates: current workflows to emerging technologies

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