2017
DOI: 10.5194/gi-2017-46
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SWRT: A package for semi-analytical solutions of surface wave propagation, including mode conversion, across transversely aligned vertical discontinuities

Abstract: Abstract. We present a suite of programs that implement decades-old algorithms for computation of seismic surface wave reflection and transmission coefficients at a welded contact between two laterally homogeneous quarter-spaces. For Love as well as Rayleigh waves, the algorithms are shown to be capable of modelling multiple mode conversions at a lateral discontinuity, which was not shown in the original publications or in the subsequent literature. Only normal incidence at a lateral boundary is considered so … Show more

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Cited by 2 publications
(3 citation statements)
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“… Transmission coefficients for a Love wave entering the Los Angeles basin obtained using a 1D mode‐coupling theory (Brissaud et al., 2020; Datta, 2018). This represents a worst‐case mode‐conversion scenario, with the true basin exhibiting a smoother horizontal gradient and hence less conversion.…”
Section: Inversion Methodologymentioning
confidence: 99%
See 1 more Smart Citation
“… Transmission coefficients for a Love wave entering the Los Angeles basin obtained using a 1D mode‐coupling theory (Brissaud et al., 2020; Datta, 2018). This represents a worst‐case mode‐conversion scenario, with the true basin exhibiting a smoother horizontal gradient and hence less conversion.…”
Section: Inversion Methodologymentioning
confidence: 99%
“…The relative amplification of Love waves directly observed between two locations can then be calculated by a1a2=cg1I1cg2I21/2, $\frac{{a}_{1}}{{a}_{2}}={\left(\frac{{c}_{{g}_{1}}{I}_{1}}{{c}_{{g}_{2}}{I}_{2}}\right)}^{-1/2},$ with I=0ρ(z)ufalse(zfalse)2dz $I={\int }_{0}^{\infty }\rho (z)u{(z)}^{2}dz$ (Bowden et al., 2017; Bowden & Tsai, 2017). Transmission coefficients obtained using a 1D mode‐conversion theory (Brissaud et al., 2020; Datta, 2018), applied to Love waves transmitting from a characteristic out‐of‐basin velocity and density profile to an in‐basin profile, are plotted in Figure 9. The results of this mode‐conversion test suggest that any potential modeling error from neglecting mode‐coupling is small.…”
Section: Inversion Methodologymentioning
confidence: 99%
“…To evaluate expressions (4) and (5), we solve the surface-wave eigenvalue problem by the method of Gomberg & Masters (1988), as in Datta et al (2017); Datta (2018). This gives phase velocity c, group velocity U and the eigenfunctions r 1 , r 2 and l 1 , which are numerically integrated to obtain the energy integral I 1 .…”
Section: Computation Of the Green's Functionmentioning
confidence: 99%