The state-of-the-art joint migration inversion faces the so-called amplitude-versus-offset challenge, due to adopting over-simplified one-way propagation, reflection and transmission operators to avoid over-parameterization in the inversion process. To overcome this challenge, we apply joint migration inversion to horizontally layered media (or 1.5-dimensional media) and parameterize the solution space via density and velocity models. In this scenario, one-way propagation, reflection and transmission operators required by the joint migration inversion process can be analytically and correctly derived from the subsurface models, so the amplitude-versus-offset challenge is successfully overcome. We introduce a new concept, which is named ‘inverse propagation’, into our 1.5-dimensional amplitude-versus-offset joint migration inversion. It can correctly reconstruct subsurface wavefields by using a surface-recorded receiver wavefield with all the influence of transmission, reflection and multiples accounted for. A synthetic example is used to demonstrate the correctness of the inverse propagation. This work is the foundation to further develop the 1.5-dimensional amplitude-versus-offset joint migration inversion technology.

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研究笔记：1.5 维振幅对偏移联合偏移反演中的逆传播

由于采用过度简化的单向传播、反射和传输算子来避免反演过程中的过度参数化，最先进的联合偏移反演面临着所谓的幅度对偏移的挑战。为了克服这一挑战，我们将联合偏移反演应用于水平分层介质（或 1.5 维介质），并通过密度和速度模型参数化解空间。在这种情况下，联合偏移反演过程所需的单向传播、反射和传输算子可以从地下模型中解析正确地推导出来，因此成功克服了振幅与偏移量的挑战。我们将一个名为“逆传播”的新概念引入到我们的 1.5 维振幅对偏移联合偏移反演中。它可以通过使用地面记录的接收器波场正确重建地下波场，并将传输、反射和多次波的所有影响都考虑在内。一个综合的例子被用来证明逆传播的正确性。这项工作是进一步发展1.5维幅度偏移联合偏移反演技术的基础。