%0 Journal Article
%T Born-series dispersion equations and Born-Kirchhoff propagators
Born序列频散方程和Born-Kirchhoff传播算子
%A FU Li-Yun
%A
符力耘
%J 地球物理学报
%D 2010
%I
%X Conventional Kirchhoff propagators are conceptually simple and applicable for wave propagation in laterally homogeneous media. Ray-Kirchhoff propagators are kinematically acceptable in the range of seismic frequencies for heterogeneous media, but theoretically suffer congenital deficiencies. In this paper we present a natural way to extend the conventional Kirchhoff propagators to heterogeneous media. The so-called Born-Kirchhoff propagators are designed in the wavenumber domain under Born-series approximation to account for large-angle waves in strong-contrast media. These wavenumber-domain propagators that usually become singular at high wavenumbers can be transformed into the space domain, which are unconditionally stable with the Kirchhoff-summation implementation. Various orders of the Born-Kirchhoff propagators are formulated with a target-oriented flexibility to handle local complex zones for wave propagation, seismic imaging, and velocity estimation. A complete accuracy analysis is conducted by Born-series dispersion equations to characterize the Born-Kirchhoff propagators' scale-dependence on wavelengths, propagation angles, and heterogeneities. Synthetic seismograms for a simple 2D model are calculated with the zeroth-order and first-order Born-Kirchhoff propagators in comparison with those generated by the boundary-element method.
%K Wave propagation
%K Born-series approximation
%K Born-series dispersion equations
%K Born-Kirchhoff propagators
%K Heterogeneous media
波传播
%K Born序列逼近
%K Born序列频散方程
%K Born-Kirchhoff传播算子
%K 非均匀介质
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=533EF0D7FF0821BC857B6E6A6AC04D85&yid=140ECF96957D60B2&vid=8E6AB9C3EBAAE921&iid=0B39A22176CE99FB&sid=0918129209B14F3E&eid=05340B75C67FF664&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=0&reference_num=62