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Equivalence of the Green's function for a full-space to the direct-wave contributions for a half-space and a layered half-space

Zhang Haiming and Chen Xiaofei
Equivalence of the Green's function for a full-space to the direct-wave contributions for a half-space and a layered half-space
Bulletin of the Seismological Society of America (February 2009) 99 (1): 454-461

Abstract

As a part of a series of studies on the dynamic rupture processes based on a modern boundary integral equation method, we prove that contribution of direct waves to the Green's function for a half-space and that to the Green"s function in source layer for a layered half-space, which are both expressed in a cylindrical coordinate system, are strictly equivalent to the well-known analytic Green"s function for full-space. Because all of the hypersingularities in boundary integral equations (BIEs) come from the direct waves and contribution of direct waves can be evaluated analytically, the results obtained in this study are very useful in the simplification of the BIEs, especially for the case of layered half-space, in which the treatment on separation of singular parts is otherwise extremely complicated in mathematics and hence impracticable.


ISSN: 0037-1106
EISSN: 1943-3573
Serial Title: Bulletin of the Seismological Society of America
Serial Volume: 99
Serial Issue: 1
Title: Equivalence of the Green's function for a full-space to the direct-wave contributions for a half-space and a layered half-space
Affiliation: Chinese Academy of Sciences, College of Earth Sciences, Beijing, China
Pages: 454-461
Published: 200902
Text Language: English
Publisher: Seismological Society of America, Berkeley, CA, United States
References: 15
Accession Number: 2009-031155
Categories: Seismology
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Secondary Affiliation: University of Science and Technology of China, CHN, China
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2018, American Geosciences Institute. Abstract, Copyright, Seismological Society of America. Reference includes data from GeoScienceWorld, Alexandria, VA, United States
Update Code: 200917
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