Response analysis of shale bedding structure to ultrasonic characteristics and its application

Based on the wave theory, different bedding structure models for shales in Lower Silurian Longmaxi Formation of southeastern Chongqing area were established, numerical simulations of responses of different bedding structures of shale to ultrasonic wave were carried out by using the second order in time and fourth order in space grid finite difference method, based on the grey system theory, sensitive factors of acoustic parameters of bedding structure were selected, and the dynamic mechanical parameter model of bedded shale was established, which was verified by the ultrasonic transmission experiment results on core down Well ZY1 and YY1 and the logging data of Well ZY2. The results show that:(1) The correlation coefficient between analog and experimental waveforms is greater than 80%, indicating that the numerical simulation method can effectively simulate ultrasonic transmission experiment.(2) Acoustic velocity is a conventional sensitive factor used to characterize shale bedding structure, whereas the attenuation coefficient is sensitive to the change of bedding thickness, with correlation coefficient of 0.89, therefore, using the normalized results of attenuation coefficient to comprehensively describe the shale bedding can make the results more accurate.(3) The correlation between the dynamic and static parameters calculated by the model is better than that of the traditional model; and the predicted values of rock mechanics obtained by using the model and logging data inversion are in good agreement with the experimental values. The research results lay the foundation for further accurate prediction of rock mechanic parameters using sonic logging data.