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Nonlinear seismic amplitude versus offset inversion using the exact Zoeppritz equation

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📝 Original Info

  • Title: Nonlinear seismic amplitude versus offset inversion using the exact Zoeppritz equation
  • ArXiv ID: 2512.13172
  • Date: 2025-12-15
  • Authors: Wiktor Waldemar Weibull, Nisar Ahmed

📝 Abstract

The amplitude-variation-with-offset inversion techniques are formulated to estimate elastic properties by fitting modeled seismic responses to observed data. Solving inverse seismic problems requires minimizing a target objective function for which gradient-based methods are frequently adopted. However, the efficiency and accuracy of these methods depend significantly on the approach used to compute the gradient of the target function. This work presents an explicit analytical gradient formulation of the exact Zoeppritz equation, discretized for multilayer media and derived using the adjoint-state method. The resulting expressions provide the gradient of a convolution-based objective function with respect to P-wave velocity, S-wave velocity, and density. The adjoint state-based solution improves computational efficiency by avoiding numerical approximations while maintaining high accuracy in calculating the gradient for seismic inversion. Additionally, using the exact Zoeppritz equation helps overcome the limitations associated with weak elastic property contrasts across subsurface layers. The least squares target function is minimized using a nonlinear limited-memory quasi-Newton algorithm. We demonstrate the effectiveness of the...

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