Wave equation finite-element modeling including rugged topography and complicated medium
起伏地表复杂介质波动方程有限元数值模拟方法

Wave equation modeling is a effective means of research the wave propagate phenomena.Because of simpleness and high-accuracy,finite-difference modeling has been applied wildly.As a result of difficult to deal with complex geometry interface,finite-difference has low-accuracy when encountering rugged topography or complicated structure.In order to accurately modeling wave field including complicated geology,this paper presents finite-element method solving 2-D acoustic wave equation.Triangular elements were adopted for approximating free surface and velocity interfaces.Both field and velocity were regarded as linear functions in elements to adapt to complex medium.Absorbing boundary conditions were employed for eliminating reflection from truncation boundaries.In order to improving computation efficiency,lumped mass matrix and lumped damp matrix were adopted for reason of enable avoid matrix inversion.The modeling results of examples proved the method's validity.