Abstract:Assuming that seismic wave in subsurface medium is described by 2-D acoustic equations, we can use the adjoint theory of the distribution-parameter control system and the adjoint equation of original state equation to deduce the gradient formulae of velocity and density. Numerical test is made using the conjugate gradient method and the generalized univariable search method. The result proves the technique feasible and stable.
孙豪志, 冯英浚, 范祯祥. 声波介质中速度和密度反演[J]. 石油地球物理勘探, 1993, 28(4): 411-417.
Sun Haozhi, Feng Yingjun, Fan Zhenxiang. Inversions of velocity and density in acoustic medium. OGP, 1993, 28(4): 411-417.