TRANSIENT FINITE INTEGRAL POINT SOURCE RESPONSE FROM A PLANAR ACOUSTIC INTERFACE: THE CAUSALITY APPROACH*
作者:
P. HUBRAL,
M. TYGEL,
期刊:
Geophysical Prospecting
(WILEY Available online 1986)
卷期:
Volume 34,
issue 1
页码: 1-10
ISSN:0016-8025
年代: 1986
DOI:10.1111/j.1365-2478.1986.tb00449.x
出版商: Blackwell Publishing Ltd
数据来源: WILEY
摘要:
ABSTRACTPoint source reflection/transmission responses from planar interfaces based on the Sommerfeld‐Weyl integral are causal and are given in the form of a solution integral with an infinite integration limit. They can be simply transformed to integrals with a finite limit by an approach that takes into account causality as well as time‐symmetry aspects. To introduce the fundamental principles involved, the transformation is applied to the simple case of a point‐source response from a planar acoustic interface. For a point source above a planar interface separating an upper and lower acoustic half‐space of velocityc1andc2the inhomogeneous plane waves in the Sommerfeld‐Weyl source representation do not contribute to the final result ifc1≤c2and only a limited spectrum of inhomogeneous plane waves comes into
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