Second-order perturbation approximation of reflection based on scattering-matrix decomposition

Gong, Cheng-cheng; Wu, Guochen; Shan, J.

doi:10.1190/segam2018-2998134.1

Cited by 1 publication

(1 citation statement)

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“…Simultaneously, by utilizing perturbation theory, reservoir parameters were expressed as a combination of background parameters and perturbation parameters (Rüger, 1997; Shuey, 1985; Thomsen, 1986). Incorporating higher order perturbation terms enables the derivation of nonlinear approximate equations based on perturbation theory (Cheng et al., 2021; Farra, 2001; Farra & Pšenčı́k, 2003; Gong et al., 2019; Vavryčuk, 2008). As nonlinear approximation equations continue to evolve, the development of nonlinear inversion algorithms is becoming increasingly important for accurate reservoir prediction.…”

Section: Introductionmentioning

confidence: 99%

Fluid identification by nonlinear frequency‐dependent amplitude variation with offset inversion based on scattering theory

Lan

Zong

Jia

2023

Geophysical Prospecting

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Pre‐stack seismic amplitude variation with offset inversion is a crucial technique in seismic exploration, employed to estimate reservoir elastic parameters and thus reservoir fluid properties. However, traditional amplitude variation with offset inversion methods are based on elastic theory and linear approximation, neglecting the inelasticity of medium and nonlinear theory. To overcome this limitation, a quadratic scattering coefficient equation of the viscoelastic fluid factor is derived, which provides the basis for the equation for amplitude variation with offset inversion. Traditional amplitude variation with offset inversion methods typically neglect seismic dispersion and attenuation, failing to account for the influence of the seismic wave velocity attenuation and frequency variation. Quality factors of P‐ and S‐waves represent the degree of attenuation of seismic waves. To comprehensively address the effects of seismic wave dispersion and attenuation, a novel method called pre‐stack seismic nonlinear frequency‐dependent amplitude variation with offset inversion has been developed. This method builds upon the new quadratic scattering coefficient and is utilized for reservoir fluid prediction. The reliability and stability of the method are verified through synthetic and filed data examples. Further analysis reveals that the method is more reasonable and accurate compared to the traditional linear amplitude variation with offset inversion method. The results demonstrate that the proposed pre‐stack seismic nonlinear frequency‐dependent amplitude variation with offset inversion method can effectively identify reservoir fluids, providing a novel solution for reservoir fluid identification.

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