近似反演投影算法在地震走时中的应用
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摘要
近似反演投影AIM(Approximate Inverse Mapping)方法,是D.W.Ordenburg和R.G.Ellis在1991年提出的。它可以不要求反演算子和正演算子同时精确,而通过在数据空间和模型空间里做一些简单修正计算来达到较好的反演效果。在地震走时CT反演中,射线追踪常用最短路径追踪方法,该方法的计算非常耗时。本文给出了应用AIM进行基于最短路径追踪的走时CT反演算法,而基于AIM-DS的算法可以大大提高反演速度,而反演精度只略微降低。在实际工作中,适合于资料的初步解释和最短路径追踪无法完成(如数据量过大)的情况。
Approximate Inverse Mapping (AIM),proposed by D.W.Ordenburg and R.G.Ellis in 1991,can be used to solve inverse problems by means of some simple computation modifications in data space and model space without the prerequisite of the accuracy of both inverse operator and forward operator. The shortest path tracing method is often applied to seismic traveltime computerized tomography(CT) inverse problems,which is very time consuming. Here the application of AIM to such case is proposed. The algorithm based on AIM-DS can greatly accelerate the inverse process while only slightly lower the inverse accuracy,which makes it applicable to preliminary data interpretation and to the cases where shortest path tracing is not applicable,such as data overload.
Approximate Inverse Mapping (AIM),proposed by D.W.Ordenburg and R.G.Ellis in 1991,can be used to solve inverse problems by means of some simple computation modifications in data space and model space without the prerequisite of the accuracy of both inverse operator and forward operator. The shortest path tracing method is often applied to seismic traveltime computerized tomography(CT) inverse problems,which is very time consuming. Here the application of AIM to such case is proposed. The algorithm based on AIM-DS can greatly accelerate the inverse process while only slightly lower the inverse accuracy,which makes it applicable to preliminary data interpretation and to the cases where shortest path tracing is not applicable,such as data overload.
引文
[1]杨文采.地球物理反演和地震层析成象[M].北京:地质出版社,1989.
[2]王家映.地球物理反演理论(第二版)[M].北京:高等教育出版社,2002.
[3]Moser TJ.Shortest path calculation of seismic ray,Geophysics,1991,56:911～915.
[4]D WOldenburg,R G Ellis.Inversion of geophysical data using an approxi mate inverse mapping[J].Geo-physics,1991,56:323～330.
[5]Hector Urdaneta and Biondo Biondi:Shortest-pathcalculation of first arrival travelti mes by expanding wavefronts[J].Stanford Exploration Project,2001,Report82,May11.
[6]周兵,朱介寿,S A Greenhalph,等.一种新的地震射线层析成像计算方法[J].石油物探,1994,33(1):45～54.
[7]Phillips WS,Fehler MC.Tranvelti me tomography:A Comparison of popular methods[J].Gerphysics,1991,56:1639～1649.
[2]王家映.地球物理反演理论(第二版)[M].北京:高等教育出版社,2002.
[3]Moser TJ.Shortest path calculation of seismic ray,Geophysics,1991,56:911～915.
[4]D WOldenburg,R G Ellis.Inversion of geophysical data using an approxi mate inverse mapping[J].Geo-physics,1991,56:323～330.
[5]Hector Urdaneta and Biondo Biondi:Shortest-pathcalculation of first arrival travelti mes by expanding wavefronts[J].Stanford Exploration Project,2001,Report82,May11.
[6]周兵,朱介寿,S A Greenhalph,等.一种新的地震射线层析成像计算方法[J].石油物探,1994,33(1):45～54.
[7]Phillips WS,Fehler MC.Tranvelti me tomography:A Comparison of popular methods[J].Gerphysics,1991,56:1639～1649.
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