Modelling Effective Permeability Of Fracture
Networks In Permeable Rock Formations By
Singular Integral Equations Method
Author(s)
A. Pouya, M. N. Vu & D. Seyedi
Abstract
In this paper, theoretical and numerical formulations of plane steady-state fluid
flow in a fractured porous rock are used to investigate its effective permeability.
If the far field inflow is uniform, the theoretical solution shows that the pressure
field in the matrix is a function of the discharge in the fracture network. A
numerical resolution based on singular integral equations is employed to derive
the general problem of many intersected fractures in order to obtain the pressure
field in anisotropic matrix. This solution allows computing the flux in the
fractures which is the key issue for upscalling the equivalent permeability. This
paper presents in detail the method for deriving the equivalent permeability from
this solution. This method is applied to two real cases: an Excavation Damage
Zone (EDZ) around a deep underground gallery and a geological rock formation
presenting several families of fractures. The results of the both cases show that
the developed method provides an easy and efficient way to determine the
equivalent permeability of the fractured porous rock medium. This equivalent
permeability can be implemented in analytical and numerical tools for
continuous media towards estimating the flow characteristics in the rock
formation.
Keywords: facture network, porous rock, steady-state flow, effective
permeability.
Keywords
facture network, porous rock, steady-state flow, effective
permeability
Related Book
Other papers in this volume
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