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Double Porosity Finite Element Method for Borehole Modeling
Authors:J Zhang  J-C Roegiers
Institution:(1) CIRES, The University of Colorado, Boulder, CO, U.S.A.;(2) Mewbourne School of Petroleum and Geological Engineering, The University of Oklahoma, Norman, OK, U.S.A.
Abstract:Summary. This paper considers the mechanical and hydraulic response around an arbitrary oriented borehole drilled in a naturally fractured formation. The formation is treated as a double porosity medium consisting of the primary rock matrix as well as the fractured systems, which are each distinctly different in porosity and permeability. The poro-mechanical formulations that couple matrix and fracture deformations as well as fluid flow aspects are presented. A double porosity and double permeability finite element solution for any directional borehole drilled in the fractured porous medium is given. Compared with conventional single-porosity analyses, the proposed double-porosity solution has a larger pore pressure in the matrix and a smaller tensile stress in the near-wellbore region. The effects of time, fracture, mud weight, and borehole inclination in the double-porosity solution are parametrically studied to develop a better understanding of physical characteristics governing borehole problems.
Keywords:: Double porosity  finite element method  inclined borehole  poro-mechanics  fractured porous media  
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