A physically based approach for modeling multiphase fracture–matrix interaction in fractured porous media

Wu, Yu‐Shu; Pan, Lehua; Pruess, Karsten

doi:10.1016/j.advwatres.2004.07.002

Cited by 48 publications

(28 citation statements)

References 23 publications

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“…Researchers have developed and applied a variety of different conceptual models and modeling approaches for the flow of water through saturated fractured porous media (Berkowitz 2002). Wu and Pruess (2005) categorized the models for fractured and cracked media into three categories; namely, (1) an explicit discrete-fracture and matrix model (e.g., Snow 1965;Stothoff and Or 2000), (2) a dual-continuum model, including double-and multiporosity, dual-hydraulic conductivity, or a more general ''Multiple Interacting Continua'''(MINC) model (e.g., Barenblatt et al 1960;Warren and Root 1963;Kazemi 1969;Pruess and Narasimhan 1985), and (3) an effective-continuum model (e.g., Wu 2000).…”

Section: Review Of Models For the Flow Of Water In A Saturated Fractumentioning

confidence: 99%

Moisture Movement Through Cracked Clay Soil Profiles

et al. 2010

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A continuum mechanics approach is used for the formulation of unsaturated hydraulic conductivity functions and the water storage functions for fractured or cracked clay soils in this parametric study. Suggested procedures are based on available research literature related to the behavior of cracked unsaturated porous media. The soil-water characteristic curve, hydraulic conductivity and water storage functions take on the character of bi-modal unsaturated soil property functions. The bimodal character arises out of the independent behavior of the cracks and the intact clay soil. Matric suction changes beneath a slab-on-grade foundation placed on a cracked clay soil profile are modeled for varied surface flux conditions using the proposed unsaturated hydraulic conductivity and water storage functions. The impact of various levels of surface cracking on soil suction distributions is discussed. Suction distribution patterns are dependent on the initial soil surface suction. In particular, the results are dependent upon whether the initial matric suction is less than or greater than the air entry of the cracked clay. There is an extremely wide range of possible conditions that could be modeled but the parametric study results presented in this paper are limited to a series of selected crack widths and densities for an exfiltration case and an infiltration case.

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Section: Review Of Models For the Flow Of Water In A Saturated Fractumentioning

confidence: 99%

Moisture Movement Through Cracked Clay Soil Profiles

et al. 2010

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“…Neben der Bestimmung der Kontinuumsparameter ist die richtige Kopplung der einzelnen Teilgebiete von immenser Bedeutung (vgl. [2,44,72,88]). Im Gegensatz zu ECM werden bei Anwendung von SC die nötigen Parameter nicht als deterministische sondern als stochastische Variablen modelliert (vgl.…”

Section: Arten Tiefer Geothermischer Reservoire Und Verwendete Modelleunclassified

Mathematische Methoden in der Geothermie

et al. 2011

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“…But a review of different numerical modelling works shows that, at least in the context of three-dimensional flow, mass balance conditions at fracture intersections have not been explicitly and clearly formulated. Probably, the concept of double porosity in which the flow in the fracture network and in the matrix are described separately by a doublet of governing equations has made the problem more complicated [18]. It can be noticed that in many works fractures intersections have been simply excluded to avoid conceptual and numerical difficulties.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional flow in fractured porous media: A potential solution based on singular integral equations

Pouya

2012

Advances in Water Resources

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Governing equations for flow in three-dimensional heterogeneous and anisotropic porous media containing fractures or cracks with infinite transverse permeability are described. Fractures are modeled as zero thickness curve surfaces with the possibility of multiple intersections. It is assumed that flow obeys to an anisotropic Darcy's law in the porous matrix and to a Poiseuille type law in fractures. The mass exchange relations at fractures intersections are carefully investigated as to establish a complete mathematical formulation for the flow problem in a fractured porous body. A general potential solution, based on singular integral equations, is established for steady state flow in an infinite fractured body with uniform and isotropic matrix permeability. The main unknown variable in the equations is the pressure field on the crack surfaces, reducing thus from three to two the dimension of the numerical problem. A general transformation lemma is then given that allows extending the solution to matrices with anisotropic permeability. The results lead to a simple and efficient numerical method for modeling flow in three-dimensional fractured porous bodies.

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A physically based approach for modeling multiphase fracture–matrix interaction in fractured porous media

Cited by 48 publications

References 23 publications

Moisture Movement Through Cracked Clay Soil Profiles

Moisture Movement Through Cracked Clay Soil Profiles

Mathematische Methoden in der Geothermie

Three-dimensional flow in fractured porous media: A potential solution based on singular integral equations

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