| 基于高斯束理论的有限频核函数计算 |
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| 引用本文： | 王守进,敬朋贵,蔡杰雄.基于高斯束理论的有限频核函数计算[J].物探与化探,2019(1):110-117. |
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| 作者姓名： | 王守进 敬朋贵 蔡杰雄 |
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| 作者单位： | 中国石油化工股份有限公司石油物探技术研究院;中国石油化工股份有限公司勘探分公司 |
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| 基金项目： | 国家科技重大专项(2017ZX05036) |
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| 摘 要： | 相对于常规射线层析速度建模,基于波动理论的层析速度建模考虑了波的带限特性,反演分辨率更高。波动理论层析的核心在于波路径(有限频核函数)的计算。文中详细介绍了一种基于高斯束算子计算有限频核函数的方法,分析了初始束宽度和高斯束出射角度间隔对计算精度的影响;并针对高斯束近源处误差较大的缺陷,提出了改进的束参数以提高近源精度;详细分析了初始束宽度和角度间隔对改进高斯束方法的影响及改进高斯束的聚焦特性;数值算例验证了该方法在缓变介质中计算有限频核函数的可行性,计算效率较高且可处理回折波的核函数。
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| 关 键 词： | 有限频 核函数 高斯束 初始束宽度 束参数 |
The finite frequency kernel function calculation based on Gassian beam theory |
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| WANG Shou-Jin,Jing Peng-Gui,CAI Jie-Xiong.The finite frequency kernel function calculation based on Gassian beam theory[J].Geophysical and Geochemical Exploration,2019(1):110-117. |
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| Authors: | WANG Shou-Jin Jing Peng-Gui CAI Jie-Xiong |
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| Institution: | (Academy of Petroleum Geophysical Exploration Technology,SINOPEC,Nanjing 025111,China;Branch of Geological Exploration,SINOPEC,Chengdu 610041,China) |
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| Abstract: | In comparison with the routine ray tomographic velocity model construction,the tomographic velocity model construction based on undulation theory considers the belt limitation property of the wave,and hence it has higher inversion resolution.The core of the undulation theory tomography lies in the calculation of the wave route (finite frequency kernel function).This paper introduces in detail a method for calculation of finite frequency kernel function based on Gassian beam operator,analyzes the effect of the initial width and the emergence angle interval of the Gassian beam on the calculation precision.To overcome the defect of the relatively large error at the near-source place of the Gassian beam,the authors put forward improved beam parameters so as to raise the near-source precision.This paper also analyzes in detail the effect of initial beam width and angle interval on the improved Gassian beam and the focussing characteristics of the improved Gassian beam.Digital calculation example has verified the feasibility of this method in calculation of finite frequency kernel function.Its calculation efficiency is relatively high and it can process kernel function of the inflection wave. |
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| Keywords: | finite frequency kernel function Gassian beam initial beam width beam parameters |
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