Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields
We present a new solution for the elastic displacement and strain fields on or near Earth's surface due to rectangular faults in an anisotropic half-space, expressed as a summation of (A) the solution in an infinite space which is singular, and (B) the complementary part which is regular and we...
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Format: | Article |
Language: | English |
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KeAi Communications Co., Ltd.
2019-09-01
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Series: | Geodesy and Geodynamics |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1674984717301684 |
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author | E. Pan W.A. Griffith H. Liu |
author_facet | E. Pan W.A. Griffith H. Liu |
author_sort | E. Pan |
collection | DOAJ |
description | We present a new solution for the elastic displacement and strain fields on or near Earth's surface due to rectangular faults in an anisotropic half-space, expressed as a summation of (A) the solution in an infinite space which is singular, and (B) the complementary part which is regular and well-behaved. These two solutions are expressed in terms of the mathematically elegant and computationally powerful Stroh formalism and can be applied to the generally anisotropic rock half-space or a transversely isotropic rock mass with any oriented plane of isotropy. For any flat fault of polygonal shape, one needs only to carry out a simple line integral from 0 to π in order to express the fault-induced response. Numerical examples are presented to demonstrate the significant effect of the rock anisotropy and layer orientation on the fault-induced displacement and strain fields in anisotropic rocks. Potential applications are wide ranging, from faults in sedimentary strata to strongly deformed metamorphic rocks with steeply dipping foliation. Keywords: Geomechanics, Rock anisotropy, Bedding plane, Deformation and strain fields, Mechanics, theory, and modelling |
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institution | Directory Open Access Journal |
issn | 1674-9847 |
language | English |
last_indexed | 2024-12-13T23:26:02Z |
publishDate | 2019-09-01 |
publisher | KeAi Communications Co., Ltd. |
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series | Geodesy and Geodynamics |
spelling | doaj.art-4caf787dc0bb4719b388638647fdd1622022-12-21T23:27:32ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472019-09-01105394401Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fieldsE. Pan0W.A. Griffith1H. Liu2Dept. of Civil Engineering and Dept. of Mathematics, University of Akron, USA; Corresponding author.School of Earth Sciences, The Ohio State University, USASchool of Transportation & Logistics, Dalian University of Technology, ChinaWe present a new solution for the elastic displacement and strain fields on or near Earth's surface due to rectangular faults in an anisotropic half-space, expressed as a summation of (A) the solution in an infinite space which is singular, and (B) the complementary part which is regular and well-behaved. These two solutions are expressed in terms of the mathematically elegant and computationally powerful Stroh formalism and can be applied to the generally anisotropic rock half-space or a transversely isotropic rock mass with any oriented plane of isotropy. For any flat fault of polygonal shape, one needs only to carry out a simple line integral from 0 to π in order to express the fault-induced response. Numerical examples are presented to demonstrate the significant effect of the rock anisotropy and layer orientation on the fault-induced displacement and strain fields in anisotropic rocks. Potential applications are wide ranging, from faults in sedimentary strata to strongly deformed metamorphic rocks with steeply dipping foliation. Keywords: Geomechanics, Rock anisotropy, Bedding plane, Deformation and strain fields, Mechanics, theory, and modellinghttp://www.sciencedirect.com/science/article/pii/S1674984717301684 |
spellingShingle | E. Pan W.A. Griffith H. Liu Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields Geodesy and Geodynamics |
title | Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields |
title_full | Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields |
title_fullStr | Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields |
title_full_unstemmed | Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields |
title_short | Effects of generally anisotropic crustal rocks on fault-induced displacement and strain fields |
title_sort | effects of generally anisotropic crustal rocks on fault induced displacement and strain fields |
url | http://www.sciencedirect.com/science/article/pii/S1674984717301684 |
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