VSP速度反演中雅可比矩阵计算的一种新方法
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摘要
最小二乘迭代法是利用VSP旅行时反演层速度的常用方法,而反演的稳定性和收敛速度直接受到求解雅可比矩阵的影响。本文首先对求解雅可比矩阵的两种传统方法进行了对比分析,在此基础上提出了一种新的求解雅可比矩阵的方法,并用模型数据进行试算,表明本文方法反演结果比传统方法能够快速、稳定地收敛。将此方法应用于实际单炮和多炮VSP地震数据处理,可以获得目标区准确的三维速度体。
The least square iterative method is the commonly used algorithm in which VSP travel time data are used to invert interval velocity,the stability and convergence speed of the inversion is directly affected by solution of Jacobian matrix.In this paper two Jacobian matrix solution methods were prepared and analyzed,based on the results a new solution was presented,and then the trial calculation was conducted using modeling data,the inversion results show that the new approach could converge faster and more stably.By applying the approach in field single shot and multi-shot VSP data processing,the accurate 3D velocity volume for the target zone was obtained.
The least square iterative method is the commonly used algorithm in which VSP travel time data are used to invert interval velocity,the stability and convergence speed of the inversion is directly affected by solution of Jacobian matrix.In this paper two Jacobian matrix solution methods were prepared and analyzed,based on the results a new solution was presented,and then the trial calculation was conducted using modeling data,the inversion results show that the new approach could converge faster and more stably.By applying the approach in field single shot and multi-shot VSP data processing,the accurate 3D velocity volume for the target zone was obtained.
引文
[1]Lines L R,Bourgeois Aand Covey J D.Travelti mein-version of offset vertical seismic profiles-A feasibility study.Geophysics,1984,49(3):250～264
[2]Salo Edward L and Schster Gerard T.Travelti me in-version of both direct and reflected arrivals in vertical seismic profile data.Geophysics,1989,54(1):49～56
[3]朱键,王永昌.利用上行波进行VSP数据旅行时反演.西安工程学院学报,1999,21(3):44～48
[4]田-,陈晓非.水平层状介质中的快速两点间射线追踪方法.地震学报,2005,27(2):147～154
[2]Salo Edward L and Schster Gerard T.Travelti me in-version of both direct and reflected arrivals in vertical seismic profile data.Geophysics,1989,54(1):49～56
[3]朱键,王永昌.利用上行波进行VSP数据旅行时反演.西安工程学院学报,1999,21(3):44～48
[4]田-,陈晓非.水平层状介质中的快速两点间射线追踪方法.地震学报,2005,27(2):147～154
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