地震脉冲在Voist介质中传播的1D波动方程解可用变量分离法求得,由此可求出时间调和函数特解,并将特解叠加起来。这种叠加是边界条件(或入射脉冲)与介质脉冲响应的时间褶积。虽然在求解波动方程时没有引入因果关系,但由于边界条件具因果关系,则一般的解也是因果性的,同时可以证明介质脉冲响应也是因果性的。衰减与相速度间的关 The solution of the 1D wave equation in which the seismic pulse propagates in the Voist medium can be found by using the variable separation method, and thus the special solution of the time harmonic function can be obtained and the special solutions can be summed up. This superposition is the time convolution of the boundary conditions (or incident pulses) and the impulse response of the medium. Although no causal relationship is introduced in the solution of the wave equation, the general solution is also causal because of the causal relationship of the boundary conditions, and it can also be proved that the medium impulse response is also causal. The relationship between attenuation and phase velocity