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Fast, accurate solutions for 3D strain volumes in a heterogeneous half space

Landry, Walter and Barbot, Sylvain (2019) Fast, accurate solutions for 3D strain volumes in a heterogeneous half space. Computers and Geosciences, 125 . pp. 109-114. ISSN 0098-3004. doi:10.1016/j.cageo.2019.01.001.

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Deformation in the Earth displays many degrees of localization. The mechanics of faulting can be well represented by slip on a 2D surface discretized in piecewise linear boundary elements. Distributed anelastic deformation associated with fluid flow, magma transfer, or viscoelastic relaxation can be approximated by anelastic strain discretized in 3D volume elements. The stress, traction, and displacement kernels for these elements form the basis of forward and inverse modeling of Earth's deformation during the seismic cycle, volcanic unrest or hydrologic change. While there are a number of techniques for computing these kernels for 2D fault surfaces, the techniques for 3D strain volumes are less developed. To improve the models of Earth's deformation, we extend previous work to numerically calculate these kernels for 3D strain volumes in a heterogeneous half space. The model provides high-precision displacement and stress for all these cases in a self-consistent manner. We exploit the adaptive multi-grid elastic solver implemented in the software Gamra (Landry and Barbot, 2016) to compute the deformation induced by boundary and volume elements with high numerical efficency. We demonstrate the correctness of the method with analytic tests. We illustrate the performance by computing a large-scale model of postseismic deformation for the 2015 Mw 7.8 Gorkha, Nepal earthquake with heterogeneous material properties. The open-source, freely available software can be useful for the calculation of elasto-static Green's functions for localized and distributed deformation in a heterogeneous Earth.

Item Type:Article
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URLURL TypeDescription ItemResearch data
Barbot, Sylvain0000-0003-4257-7409
Additional Information:© 2019 Published by Elsevier Ltd. Received 11 November 2018, Accepted 2 January 2019, Available online 11 January 2019. This research was supported by the National Research Foundation of Singapore under the NRF Fellowship scheme (National Research Fellow Award No. NRF-NRFF2013-04) and by the Earth Observatory of Singapore and the National Research Foundation and the Singapore Ministry of Education under the Research Centres of Excellence initiative.
Group:Infrared Processing and Analysis Center (IPAC)
Funding AgencyGrant Number
National Research Foundation (Singapore)NRF-NRFF2013-04
Earth Observatory of SingaporeUNSPECIFIED
Ministry of Education (Singapore)UNSPECIFIED
Record Number:CaltechAUTHORS:20190114-092817371
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Official Citation:Walter Landry, Sylvain Barbot, Fast, accurate solutions for 3D strain volumes in a heterogeneous half space, Computers & Geosciences, Volume 125, 2019, Pages 109-114, ISSN 0098-3004, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92247
Deposited By: Tony Diaz
Deposited On:14 Jan 2019 20:19
Last Modified:16 Nov 2021 03:48

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