NDLI: Analytical Solutions for Pore-Fluid Flow Focusing Within Inclined Elliptic Inclusions in Pore-Fluid-Saturated Porous Rocks: Solutions Derived in an Elliptical Coordinate System

Content Provider	Springer Nature Link
Author	Zhao, Chongbin Hobbs, B. E. Ord, A. Peng, Shenglin Liu, Liangming Mühlhaus, H. B.
Copyright Year	2007
Abstract	Exact analytical solutions have been derived rigorously for the pore-fluid velocity, pore-fluid-flow focusing factor, stream function and excess pore-fluid pressure around and within a buried inclined elliptic inclusion in pore-fluid-saturated porous rocks. The geometric characteristics of the buried inclined elliptic inclusion are represented by the aspect ratio and dip angle of the inclusion, while the hydrodynamic characteristic is represented by the permeability ratio of the elliptic inclusion to its surrounding rock. Since an elliptic inclusion of any aspect ratio can be used to approximately represent geological faults and cracks, the present analytical solutions can be used to investigate the pore-fluid-flow patterns around buried faults and cracks within the crust of the Earth. Therefore, the present analytical solution not only provides a better understanding of the physics behind the pore-fluid-flow focusing problem around and within buried faults and cracks, but also provides a valuable benchmark solution for validating any numerical method in dealing with this kind of pore-fluid-flow focusing problem. The pore-fluid-flow focusing factor of a buried elliptic inclusion is demonstrated to be dependent on the aspect ratio, the permeability ratio and the dip angle.
Starting Page	987
Ending Page	1010
Page Count	24
File Format	PDF
ISSN	08828121
Journal	Mathematical Geosciences
Volume Number	38
Issue Number	8
e-ISSN	15738868
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2007-03-29
Publisher Place	Dordrecht
Access Restriction	Subscribed
Subject Keyword	theoretical analysis analytical solution pore-fluid flow buried inclined elliptic inclusion Hydrogeology Geotechnical Engineering Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences Math. Applications in Geosciences
Content Type	Text
Resource Type	Article
Subject	1900/1901 2600/2601

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