Discrete singularities method in problems of seismic and impulse impacts on reservoirs

Abstract

A numerical method to simulate impulse and seismic effects on storages filled with a liquid has been proposed. The liquid is supposed to be ideal, incompressible, and its current is irrotational. The fluid pressure satisfies the Cauchy-Lagrange integral. To determine it, a system of integral equations has been obtained. Its numerical solution is obtained by the boundary element method. The eigenvalues and the forms of liquid vibrations have been obtained. The proposed method has made it possible to estimate the level of the free surface under the action of a suddenly applied force.