波前快速推进法起伏地表地震波走时计算
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摘要
波前快速推进法(FMM)是一种快速、准确而稳定的走时计算方法,它不仅计算速度快、灵活性好,而且对任何复杂速度场都具有无条件稳定的特点。常规的走时计算基本都是基于水平地表,这限制了方法在山区、丘陵等起伏地表地区的应用。以FMM为基础,提出了一种在复杂地质条件下计算起伏地表起伏界面地震波走时计算方法。理论模型的计算结果表明,该方法对于复杂地质条件下的走时计算是切实可行的。
Fast marching method (FMM) is a fast, accurate and stable traveltime computation method. This method is flexible, fast, and unconditionally stable for arbitrarily large gradient jump in velocity. Almost all conventional methods are based on horizontal earth surface, they are unable to be applied in mountainous regions. We present a traveltime computation method suitable for rugged topography and irregular interfaces. Model data tests demonstrated the correctness of the proposed method.
Fast marching method (FMM) is a fast, accurate and stable traveltime computation method. This method is flexible, fast, and unconditionally stable for arbitrarily large gradient jump in velocity. Almost all conventional methods are based on horizontal earth surface, they are unable to be applied in mountainous regions. We present a traveltime computation method suitable for rugged topography and irregular interfaces. Model data tests demonstrated the correctness of the proposed method.
引文
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6 Rawlinson N, Sambridge M. The fast marching method: an effective tool for tomographic imaging and tracking multiple phases in complex layered media[J]. Exploration Geophysics,2005,36(1) :341-350
7 de Kool M,Rawlinson N, Sambridge M. Practical grid- based method for tracking multiple refraction and reflection phases in three-dimensional heterogeneous media[J]. Geophysical Journal of International, 2006, 167:253-270
8王华忠,方正茂,匡斌等．任意介质中的动态规划法地震波三维走时计算[J]．地球物理学报,2001,44(增刊):179-189
9高亮,李幼铭,陈旭荣等．地震射线辛几何算法初探[J]．地球物理学报,2000,43(3):402-410
10吴晓红,郭改霞．关于堆排序的一种新型算法[J]．数值计算与计算机应用,2000,4:303-307
11李清．堆排序应用及分析[J]．微电子技术,2002,30 (6):52～54
12 Sethian J A. A fast marching level set method for monotonically advancing fronts[J]. Proceedings of the National Academy of Sciences, 1996,93:1 591-1 595
13 Sethian J A. Level set methods and fast marching methods [M]. Cambridge: Cambridge University Press, 1999. 400
14 Sethian J A. Evolution, implementation and application of level set and fast marching methods for advancing fronts[J]. Journal of Computational Physics, 2001, 169:503-555
15孙建国．复杂地表条件下地球物理场数值模拟方法评述[J]．世界地质,2007,26(3):345-362
2 Trier J Van,Symes W W. Upwind finite-difference calculation of traveltimes[J]. Geophysics, 1991, 56(6): 812-821
3 Asakawa E, Kawanaka T. Seismic ray tracing using linear traveltime interpolation[J]. Geophysical Prospecting,1993,41(1):99-111
4 Sethian J A,Popovici A M. 3-D traveltime computation using the fast marching method[J]. Geophysics, 1999, 64(2) :516-523
5 Rawlinson N, Sambridge M. Wave front evolution in strongly heterogeneous layered mediausing the fast marching method[J]. Geophysical Journal of International, 2004,156:631-647
6 Rawlinson N, Sambridge M. The fast marching method: an effective tool for tomographic imaging and tracking multiple phases in complex layered media[J]. Exploration Geophysics,2005,36(1) :341-350
7 de Kool M,Rawlinson N, Sambridge M. Practical grid- based method for tracking multiple refraction and reflection phases in three-dimensional heterogeneous media[J]. Geophysical Journal of International, 2006, 167:253-270
8王华忠,方正茂,匡斌等．任意介质中的动态规划法地震波三维走时计算[J]．地球物理学报,2001,44(增刊):179-189
9高亮,李幼铭,陈旭荣等．地震射线辛几何算法初探[J]．地球物理学报,2000,43(3):402-410
10吴晓红,郭改霞．关于堆排序的一种新型算法[J]．数值计算与计算机应用,2000,4:303-307
11李清．堆排序应用及分析[J]．微电子技术,2002,30 (6):52～54
12 Sethian J A. A fast marching level set method for monotonically advancing fronts[J]. Proceedings of the National Academy of Sciences, 1996,93:1 591-1 595
13 Sethian J A. Level set methods and fast marching methods [M]. Cambridge: Cambridge University Press, 1999. 400
14 Sethian J A. Evolution, implementation and application of level set and fast marching methods for advancing fronts[J]. Journal of Computational Physics, 2001, 169:503-555
15孙建国．复杂地表条件下地球物理场数值模拟方法评述[J]．世界地质,2007,26(3):345-362
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