Numerical simulation of submarine cold seepage based on acoustic equation of bubbly liquid

Submarine bubble plumes in cold seepages are closely related to the distribution of natural gas hydrates,and they can indicate the boundary of the hydrate stable zone,which is an important area of energy exploration in the future.Studying the response characteristics of submarine cold seepage bubble plumes is of great significance to determine the gas hydrate reservoir area and to understand its formation and reservoir environment.At present,the seismic response of submarine cold seepage plume flow is mainly carried out by numerical simulation.However,the acoustic velocity model with bubble medium and random medium theory cannot describe the physical properties of cold seepage completely,and the acoustic wave equation adopted is not applicable for the numerical simulation of high frequency seismic waves.In order to accurately simulate the seismic response and analyze the seismic response characteristics of submarine cold seepages,Keller-Miksis bubble vibration model is proposed to describe the motion state of bubbles under the action of acoustic wave.Considering the interaction between bubbles,submarine cold seepage bubble model is established.On this basis,the acoustic wave equation of bubbly liquid is innovatively introduced into the high frequency seismic wave numerical simulation in submarine cold seepages.The numerical results indicate that the equation can accurately simulate submarine cold seepage plume flow.