In our book Peter van den Berg and I (Elsevier, Amsterdam, 1993) choose the acoustic reciprocity theorem as the central theme, because it constitutes the fundaments of the seismic wave theory. In essence, two states are distinguished in this theorem. These can be completely different, although they share the same time-invariant domain of application and they are related via an interaction quantity. The particular choice of the two states determines the acoustic application. This makes it possible to formulate the seismic experiment in terms of a geological system response to a known source function. The global form of the reciprocity theorem, also known as Rayleigh's theorem, is written when applied to a domain "D" in the following generic form:
In our seismic application we have either source interaction due to a contrast in sources between the two states or we have parameter interaction due to parameter contrast in D. Examples of the first category are: transmitter-receiver reciprocity (physical reciprocity), wavefield decomposition, deghosting and the inverse-source problem. In this lecture the speaker will discuss related problems to the second category. In particular he will present the removal of surface-related wave phenomena from marine seismic data and the formulation of the 4D geophysical problem.Boundary integral (D) [Wavefield interaction]
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Volume integral (D) [Parameter interaction]
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Volume integral (D) [Source interaction]
4:00 p.m.
Duncan Hall 1064
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