2011
DOI: 10.1016/j.jappgeo.2011.09.028
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Feasibility of waveform inversion of Rayleigh waves for shallow shear-wave velocity using a genetic algorithm

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Cited by 34 publications
(5 citation statements)
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“…Although we could use different norms to define the objective function (Brossier et al 2010), here we use the L2-norm since it is the most widely-used objective function in both MASW and FWI. Although attempts have been made in using global optimization algorithms to solve the inverse problem in FWI (Zeng et al 2011a;Aleardi et al 2016;Xing and Mazzotti 2018), most of the FWI studies use gradient-based local optimization algorithms due to a huge number of parameters in m. The huge number of parameters also makes the direct numerical calculation of the Jacobian matrix (Fréchet derivative) computationally expensive. The gradient of the FWI misfit function with respect to model parameters, however, can be calculated efficiently using an adjoint state algorithm (Plessix 2006), in which only two wavefield simulations are required: One simulation of the forward-propagating wavefield (state variable), and one simulation of the back-propagating residual wavefield (adjoint-state variable).…”
Section: Classical Fwimentioning
confidence: 99%
See 1 more Smart Citation
“…Although we could use different norms to define the objective function (Brossier et al 2010), here we use the L2-norm since it is the most widely-used objective function in both MASW and FWI. Although attempts have been made in using global optimization algorithms to solve the inverse problem in FWI (Zeng et al 2011a;Aleardi et al 2016;Xing and Mazzotti 2018), most of the FWI studies use gradient-based local optimization algorithms due to a huge number of parameters in m. The huge number of parameters also makes the direct numerical calculation of the Jacobian matrix (Fréchet derivative) computationally expensive. The gradient of the FWI misfit function with respect to model parameters, however, can be calculated efficiently using an adjoint state algorithm (Plessix 2006), in which only two wavefield simulations are required: One simulation of the forward-propagating wavefield (state variable), and one simulation of the back-propagating residual wavefield (adjoint-state variable).…”
Section: Classical Fwimentioning
confidence: 99%
“…The inclusion of surface waves in the wavefields also increases the nonlinearity of FWI (Gélis et al 2007;Brossier et al 2009). Numerical examples (Romdhane et al 2011;Zeng et al 2011a;Bretaudeau et al 2013;Borisov et al 2017;Pan et al 2018a) have demonstrated that FWI is a promising way in quantitatively imaging near-surface structures. Applications of FWI on field data sets (Tran et al 2013;Kallivokas et al 2013;Amrouche and Yamanaka 2015;Nguyen et al 2016;Pan et al 2016b;Dokter et al 2017) have also proved the applicability as well as the high resolution of FWI for characterizing near-surface heterogeneity.…”
Section: Introductionmentioning
confidence: 99%
“…The second category is the completely nonlinear global optimization algorithm, including the global optimization algorithm based on random sampling in the solution space and the random search algorithm based on meta heuristic. The former is represented by Monte Carlo method Sun et al, 2022;Yang & Yuen, 2021), while the latter is represented by particle swarm optimization (PSO) (Ai et al, 2021;Poormirzaee, 2016Poormirzaee, , 2018, cuckoo search algorithm (Poormirzaee & Fister Jr, 2021), genetic algorithm (Qin et al, 2020;Zeng et al, 2011), firefly algorithm (Zhou et al, 2014), artificial neural network (Jian et al, 2011;Yablokov et al, 2021) and simulated annealing (Calderón-Macías & Luke, 2007;Chong et al, 2015;Lu et al, 2016;Pei et al, 2007). The gradient-based liner algorithm is characterized by rigorous derivative derivation, but depends on the selection of initial solution and the calculation of partial derivative matrix.…”
Section: Introductionmentioning
confidence: 99%
“…Surface waves are dispersive and sensitive to subsurface shear wave velocity (Vs) structures. Since Vs structure is crucial for understanding both deep earth structures and shallow subsurface, numerous methods, multi‐channel analysis of surface wave (MASW) (Park et al., 1999; Xia et al., 1999) and full waveform inversion (FWI) type of methods (Brossier et al., 2009; Li et al., 2017; Pan et al., 2016, 2019; Tran et al., 2013; Zeng et al., 2011) for example, are developed to invert Versus structure from surface wave recordings. These recordings can be acquired using active or controlled seismic sources, and they have also been discovered to be retrievable from ambient noise (Aki, 1957; Park et al., 2004; Shapiro & Campillo, 2004; Shapiro et al., 2005).…”
Section: Introductionmentioning
confidence: 99%