Nonlinear amplitude inversion using the exact Zoeppritz equation and Hybrid Quantum Genetic algorithm

Summary Amplitude versus offset/angle (AVO/AVA) inversion recovers elastic properties of subsurface media and thus is an essential tool in oil and gas exploration. The exact Zoeppritz equation has high accuracy in reflection coefficient modelling, but the amplitude inversion based on the exact Zoeppritz equation is highly nonlinear. In this abstract, we propose a hybrid quantum genetic algorithm (HQGA) for the nonlinear AVO inversion using the exact Zoeppritz equation. Compared with the conventional genetic algorithm (GA) and quantum genetic algorithm (QGA), HQGA includes a self-adaptive rotating strategy, quantum mutation, and quantum catastrophe. The self-adaptive rotating strategy improves the flexibility and efficiency of a quantum revolving gate, and quantum mutation and quantum catastrophe enhance the local and global search capabilities respectively. Numerical tests show that compared with GA and QGA, HQGA requires fewer searches to converge to a global optimal solution, and the inversion results of HQGA have higher accuracy, higher efficiency and greater robustness than that of GA and QGA. A field data application verifies that there is a good consistency between the inverted parameters and real logs.