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声波介质中速度和密度反演
引用本文:孙豪志 冯英浚. 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
作者姓名:孙豪志 冯英浚
作者单位:潍坊高等专科学校,哈尔滨工业大学数学系,石油地球物理勘探局研究院
摘    要:假设地震波在地下介质中的传播用二维声波方程来描述,则利用分布参数控制系统的伴随理论、引入原始状态方程的伴随方程,可同时导出速度和密度各自的梯度公式、在反演计算中.应用共轭梯度法和广义变量轮换法,进行了数值试算,其结果表明了该方法的可行性和稳定性。

关 键 词:速度 密度 反演 地震波 声波介质

Inversions of velocity and density in acoustic medium.
Sun Haozhi,Feng Yingjun Fan Zhenxiang. Sun Haozhi,Electrical Engineering Department,Weifang High Training School. Weifang City. Shandong Province,Internal Postcode.. Inversions of velocity and density in acoustic medium.[J]. Oil Geophysical Prospecting, 1993, 28(4): 411-417
Authors:Sun Haozhi  Feng Yingjun Fan Zhenxiang. Sun Haozhi  Electrical Engineering Department  Weifang High Training School. Weifang City. Shandong Province  Internal Postcode.
Affiliation:Sun Haozhi,Feng Yingjun Fan Zhenxiang. Sun Haozhi,Electrical Engineering Department,Weifang High Training School. Weifang City. Shandong Province,Internal Postcode.261041
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.
Keywords:velocity  density  inversion  acoustic wave equation  
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