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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Main Authors: E. Pan, W.A. Griffith, H. Liu
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2019-09-01
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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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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