caa a22 4500 477047157 CHVBK 20180405111333.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00882056 doi (NATIONALLICENCE)springer-10.1007/BF00882056 Time domain scattering of acoustic plane waves by vertical faults [Elektronische Daten] [Edson Sampaio, Mikhail Popov] Acoustic plane wave scattering at a vertical fault structure represents the simplest two-dimensional model of geophysical exploration that can be investigated by analytical techniques. The exact and complete solution, in the time domain, for the scattering of the pressure field of an acoustic plane wave normally incident on a vertical fault structure is determined adapting previous results given for the frequency domain. The wave form of the pressure field of the incident plane wave is expressed by a causal time function that decays exponentially with time at every point above the fault (z<0). The zero-order term of the scattered pressure field has been computed above the fault. This zero-order term consists of an inverse Fourier transform which reduces to a closed expression forx=0, and contains an integral of a Hankel function forx#0. The high frequency part of the inverse Fourier transform forx#0 is computed employing asymptotic expressions for the Hankel function. The integral of the asymptotic expression of the Hankel function reduces to: (i) a Fresnel integral which contains a plane wave term for |x|≪|z|; and (ii) a stationary point plane wave term plus an upper limit term for |x|=O(|z|). For the latter case the plane wave term cancels, leaving a cylindrical wave emanated from the edge of the fault. The wave front is well defined in shape, in phase and in amplitude. The amplitude of the scattered field is discontinuous atx=0, presents a jump and is well defined for |x| small and is rather smooth for |x| large. Birkhäuser Verlag, 1996 Scattering nationallicence acoustic nationallicence time domain nationallicence vertical faults nationallicence Sampaio Edson PPPG/UFBA-IGEO Rua Barão de Geremoabo s/n, Instituto de Geociências sala 308-C, 40170-290, Salyador-Bahia, Brazil aut Popov Mikhail PPPG/UFBA-IGEO Rua Barão de Geremoabo s/n, Instituto de Geociências sala 308-C, 40170-290, Salyador-Bahia, Brazil aut pure and applied geophysics Birkhäuser-Verlag 148/1-2(1996-03-01), 95-112 0033-4553 148:1-2<95 1996 148 24 https://doi.org/10.1007/BF00882056 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00882056 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sampaio Edson PPPG/UFBA-IGEO Rua Barão de Geremoabo s/n, Instituto de Geociências sala 308-C, 40170-290, Salyador-Bahia, Brazil aut NATIONALLICENCE 700 1- Popov Mikhail PPPG/UFBA-IGEO Rua Barão de Geremoabo s/n, Instituto de Geociências sala 308-C, 40170-290, Salyador-Bahia, Brazil aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 148/1-2(1996-03-01), 95-112 0033-4553 148:1-2<95 1996 148 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer