A new insight into the reciprocity principle

被引:18
作者
Arntsen, B
Carcione, JM
机构
[1] Statoil Res Ctr, N-7005 Trondheim, Norway
[2] Osserv Geofis Sperimentale Trieste, I-34010 Trieste, Italy
关键词
D O I
10.1190/1.1444848
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
Reciprocity is usually applied to wavefields associated with concentrated point forces and point receivers, but, reciprocity has a much wider application potential. In many cases, however, it is not used at its full potential because (1) a variety of source and receiver types are not considered or (2) its implementation is not well understood. We obtain reciprocity relations for inhomogeneous, anisotropic, viscoelastic solids and for distributed sources and receivers, and test these relations with a full-wave numerical modeling algorithm. The theory and the numerical experiments show that, in addition to the usual relations involving directional forces (1) the diagonal components of the strain tensor an reciprocal for dipole sources (single couple without moment), (2) the off-diagonal components of the stress tensor are reciprocal for double couples with moments (3) the dilatation due to a directional force is reciprocal to the particle velocity due to a dilatational source, and (4) some combinations of the off-diagonal strains are reciprocal for single couples with moments.
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页码:1604 / 1612
页数:9
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