Dual Porosity DRM Formulation For Flow And
Transport Through Fractured Porous Media
Author(s)
T. Samardzioska & V. Popov
Abstract
The main objective of this work is to develop a model for flow and solute
transport in fractured porous media based on the dual porosity approach and the
Dual Reciprocity Method. The developed model is compared to the results
obtained using the equivalent continuum model and the discrete fracture/nonhomogeneous
model. The comparison is performed for a square porous domain
with regular mesh of three parallel fractures combined with a further three
fractures perpendicular to the first ones. The results helped to draw some
conclusions in respect to the similarity of potentials as well as fluxes for the
different methods. In this research the Boundary Element Dual Reciprocity
Method scheme (BE DRM) has been used, in combination with the dual-porosity
model.
Keywords: fractured porous media, dual porosity model, DRM, BEM.
1 Introduction
Fractured porous media could be modelled with a non-homogeneous model
where porosity and permeability are allowed to vary discontinuously and rapidly,
as both quantities are significantly larger in the fractures than in the porous rock.
This approach is considered to be more accurate than the dual porosity model,
since it introduces a smaller number of simplifications or approximations.
However, the computational and data requirements for treating such a model are
often too large, which makes this approach not suitable for every practical case.
As an alternative, the discontinuous nature of the permeability and porosity
can be avoided by replacing them by averaged values. Such simplification is
used in the equivalent continuum model [1], which does not contain fractures,
Keywords
fractured porous media, dual porosity model, DRM, BEM
Related Book
Other papers in this volume
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