2005
DOI: 10.1111/j.1365-246x.2005.02492.x
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Three-dimensional elastic scattering by near-surface heterogeneities

Abstract: S U M M A R YWith the aid of a domain-type integral-equation formulation, the scattering problem is studied of an inclusion, embedded in a layered, traction-free, elastic half-space. This problem is characteristic for near-surface scattering problems occurring in exploration seismology. The singular character of the Green's function is taken into account in an accurate and efficient manner using an asymptotic description of its near-field behaviour. The numerical results show good qualitative agreement with ex… Show more

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Cited by 11 publications
(20 citation statements)
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“…To solve the former problem, a cosine taper is applied to the elements of the Green's tensor by considering the value of p max . Riyanti & Herman (2005) solved this problem by subtracting the free‐space Green's tensor elements from the Green's tensor elements. When choosing the value of sampling the fastest oscillating case of the integrand is taken into account.…”
Section: Formulation Of the Forward Problemmentioning
confidence: 99%
See 1 more Smart Citation
“…To solve the former problem, a cosine taper is applied to the elements of the Green's tensor by considering the value of p max . Riyanti & Herman (2005) solved this problem by subtracting the free‐space Green's tensor elements from the Green's tensor elements. When choosing the value of sampling the fastest oscillating case of the integrand is taken into account.…”
Section: Formulation Of the Forward Problemmentioning
confidence: 99%
“…These papers focused on detecting the object but not determining the actual contrast values of the inhomogeneities. Riyanti & Herman (2005) present a solution to the 3‐D elastodynamic forward problem in a layered embedding medium including the effect of multiple scattering. It is an accurate solution of the wave equation, however it is quite compute expensive.…”
Section: Introductionmentioning
confidence: 99%
“…Campman et al (2005Campman et al ( , 2006 use an inverse scattering approach based on an integral-equation formulation to image the near-surface heterogeneities, but they assume that scattering takes place immediately under the receivers. Other methods, based on solving integral equations using the method of moments, can handle strong contrast and large heterogeneities and can take into account multiple scattering (Riyanti and Herman, 2005;Campman and Riyanti, 2007). However, these methods are restricted to laterally homogeneous background media consisting of horizontal layers.…”
Section: Introductionmentioning
confidence: 99%
“…Direct surface-wave (Rayleigh-wave) scattering has been extensively studied in numerous previous studies (e.g., De Bremaecker, 1958;Knopoff and Gangi, 1960;Fuyuki and Matsumoto, 1980;Gélis et al, 2005). In exploration seismology, however, much less research has been done on the effects of near-surface heterogeneities on the upcoming reflections (Campman et al, 2005(Campman et al, , 2006Riyanti and Herman, 2005), especially in realistic cases of more complicated scatterers and background media. Therefore, the emphasis of this paper is more on the scattering of upcoming body waves.…”
Section: Introductionmentioning
confidence: 99%
“…Herman et al (2000) and Campman et al (2005Campman et al ( , 2006 image and suppress near-receiver scattered surface waves assuming that scattering takes place immediately under the receivers. Other methods based on solving integral equations using the method of moments can take into account multiple scattering and can handle strong contrast and large heterogeneities (Riyanti and Herman, 2005;Campman and Riyanti, 2007). However, these methods are limited to laterally homogeneous embedding consisting of horizontal layers.…”
Section: Introductionmentioning
confidence: 99%