A complete formulation of an indirect boundary element method for poroelastic rocks
Autor: | Abolfazl Abdollahipour, Javad Gholamnejad, Alireza Yarahmadi Bafghi, Mohammad Fatehi Marji |
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Rok vydání: | 2016 |
Předmět: |
Mathematical analysis
Poromechanics 0211 other engineering and technologies 02 engineering and technology Classification of discontinuities 010502 geochemistry & geophysics Geotechnical Engineering and Engineering Geology 01 natural sciences Computer Science Applications Discontinuity (geotechnical engineering) Rock mechanics Fundamental solution Geotechnical engineering Porous medium Boundary element method Geology 021101 geological & geomatics engineering 0105 earth and related environmental sciences |
Zdroj: | Computers and Geotechnics. 74:15-25 |
ISSN: | 0266-352X |
Popis: | Rocks are naturally filled with cracks and pores that are saturated with one or more fluid phases. Many problems in rock mechanics, petroleum engineering, geophysics, etc. deal with cracks and discontinuities in rock formations. These problems should consider effects of a porous medium. Displacement discontinuity method ( DDM ) as an indirect boundary element method is particularly ideal for problems involving fractures and discontinuities. However, the DDM in its original form is limited to elastic problems. The paper uses a fundamental solution of a point displacement discontinuity in poroelastic medium to obtain the solution for a poroelastic DDM . Then it introduces a numerical formulation and implementation for the poroelastic DDM in a code named CEP-DDM (Constant Element Poroelastic DDM ). The accuracy and validity of the proposed solution and the newly developed code are verified by two analytical solutions, another numerical solution, and some field measurements. These results showed good agreement between CEP-DDM and other methods’ results. The verifications prove the accuracy and applicability of the proposed numerical model in a wide range of real-world problems. |
Databáze: | OpenAIRE |
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