Pulse Response Characteristic of an Elastic Half-space - Direct and Inverse Problem

Numerical algorithms for constructing a fundamental solution to the equations of elasticity theory in velocity-stress formulation for an isotropic elastic half-space whose elastic properties (Lame parameters), and the density depend only on depth are considered. An inverse problem is studied to determine the elastic parameters from data of an areal observation system located on the medium’s surface. Some numerical algorithms for solving the inverse problem based on optimization methods and the Gelfand-Levitan-Krein equations are proposed.