Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators

被引：3
作者：
Bhattacharyya, Sombuddha [1 ]
de Hoop, Maarten V. [3 ]
Katsnelson, Vitaly [2 ]
Uhlmann, Gunther [1 ]
机构：
[1] Indian Inst Sci Educ & Res, Dept Math, Bhopal, India
[2] New York Inst Technol, Coll Arts & Sci, New York, NY 14405 USA
[3] Univ Washington, Dept Math, Seattle, WA USA
来源：
GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS | 2022年 / 13卷 / 01期
基金：
美国国家科学基金会;
关键词：
Inverse problems; Elastic wave equation; Acoustic wave equation; Microlocal analysis; INVERSE PROBLEM; GLOBAL UNIQUENESS; BOUNDARY; SINGULARITIES; MEDIA;
D O I：
10.1007/s13137-022-00199-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (exploration) seismology in this context. However, the analysis in seismology has been based on linearization and mostly flat interfaces. Here, we present an analysis without linearization and allow curved interfaces, establish uniqueness and provide a reconstruction, while making the notion of amplitude precise through a procedure rooted in microlocal analysis.
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页数：46
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