论文标题
在分层声培养基中，通过扩展的Gel'fand-Levitan-marchenko解决方案的延长的胶链溶液同时密度 - 速度倒置
Simultaneous density-velocity inversion by extended Gel'fand-Levitan-Marchenko solution in layered acoustic media for oblique incidence
论文作者
论文摘要
原始GLM（Gel'fand-Levitan-Marchenko）理论是用于散射Schrödinger方程的潜在恢复。在本文中，我们制定了GLM阻抗解决方案的倾斜发生率，以同时反转速度和密度，包括基于声波方程的边界跳跃。除了使用反射振幅外，基于聚焦原则，反射到达的旅行时间信息还用于反转。数值测试证明了速度和密度的恢复，并验证了理论和方法的有效性。本文中研究的Schrödinger阻抗的理论与直接包膜反演密切相关。
Original GLM (Gel'fand-Levitan-Marchenko) theory is for scattering potential recovery of Schrödinger equation. In this paper, we formulate the GLM impedance solution of oblique incidence for simultaneous inversion of velocity and density including boundary jumps based on acoustic wave equation. In addition to the use of reflection amplitude, traveltime information of reflection arrivals is also utilized for inversion based on the focusing principle. Numerical tests demonstrate the recovery of velocity and density, verified the validity of the theory and method. The theory of Schrödinger impedance inverse-scattering studied in this paper is closely related to the direct envelope inversion.
