INTEGRAL REFLECTION-TRANSMISSION OPERATORS INSTEAD OF REFLECTION-TRANSMISSION COEFFICIENT: A POSSIBILITY TO IMPROVE THE RESOLUTION OF SEISMIC EXPLORATION
A.M. Aizenberg, K.D. Klem-Musatov, M.A. Aizenberg*, H.B. Helle**, and J. Pajchel**
Institute of Petroleum Geology and Geophysics, Siberian Branch of the RAS,
3 prosp. Akad. Koptyuga, Novosibirsk, 630090, Russia
* Norwegian University of Science and Technology, 7491, Trondheim, Norway
** Norsk Hydro, O & E Research Centre, N-5020, Bergen, Norway
Keywords: Tip wave superposition method, integral reflection operator, reflection coefficient, head waves
Pages: 532-540
Abstract
The use of integral reflection and transmission operators to account for boundary conditions follows from the theory of wave scattering at curved interfaces in layered inhomogeneous media obtained in our previous studies. In this respect it appears practical to investigate the possibility of applying these operators instead of plane-wave reflection and transmission coefficients to describe high-frequency wavefields by Kirchhoff-type surface singular integrals common in forward and inverse seismic problems. We compare the integral reflection operator and reflection coefficient approaches in numerical experiments for single scattering of a spherical wave at a curved interface. We show that the use of the integral reflection operator allows eliminating artefacts associated with the use of the reflection coefficient and ensures including head waves.
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