Inverse Problem in the Theory of Surface Traveling Waves in Layered Media

Abstract

The regularization method, in addition to efficiently resolving the issue with ill-posed problems in various applications, also substantially suppresses noise and error propagation. To achieve these goals, the article proposes a new “genetic algorithm” (GA) method, linked with Tikhonov’s regularization method (GA-TRM). The regular operator is introduced in the GA fitness functions to study the inverse problem of surface-wave dispersion. Experimental results have shown that, compared with the classical algorithm, the new algorithm improves inversion accuracy, reduces errors, and lowers inversion instability.