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JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE)
Earth Science     
Reflected wave simulation based on reverse process of migration
ZHOU Hua min, CHEN Sheng chang, REN Hao ran, WANG Han chuang, ZHANG Yao, LU Fang zheng
1.School of Earth Science, ZheJiang University, Hangzhou 310027, China; 
2.Second Institute of Oceanography, Hangzhou 310027, China; 
3.Sinopec Geophysical Research Institute, Nanjing 211103, China
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Abstract  

A primary reflected wave equation based on the subsurface’s reflectivity function was proposed to solve the problem that present mathematical and physical formula can’t describe the linear reflected wave propagation very well. Under the Born approximation and scattering wave propagation theory, The linear simulation method defined the reflectivity function by approximating the spatial change of velocity perturbation with the high-frequency asymptotic method. Then the primary reflected wave equation from scattering wave equation was obtained. The simulation method had opposite mathematical and physical process to reverse time migration, which obtained the seismic data from image result in the spatial domains. The method can be named as reverse time demigration(RTDM). Numerical test results show that the simulation method is precise and stable, and the reflected wave has accurate amplitude and phase information.



Published: 01 August 2016
CLC:  P 631  
Cite this article:

ZHOU Hua min, CHEN Sheng chang, REN Hao ran, WANG Han chuang, ZHANG Yao, LU Fang zheng. Reflected wave simulation based on reverse process of migration. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2016, 50(8): 1627-1636.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2016.08.027     OR     http://www.zjujournals.com/eng/Y2016/V50/I8/1627


基于偏移反过程的一次反射波模拟

针对当前描述线性化反射波传播的数学物理方程不明确的问题,提出基于地下介质反射率函数的一次反射波方程.该线性化模拟方法是在Born近似下,以地震波传播的散射理论为基础,利用高频近似理论对地下速度扰动的空间变化进行近似,定义反射率函数,再由散射波传播方程推导得到线性化一次反射波传播方程.反射波场的形成与逆时偏移有相反的数学物理过程,是由空间域的成像结果获得数据域的地震记录,故该线性化模拟方法也可称为逆时反偏移(RTDM).数值试验结果表明,一次反射波模拟方法获得的地震数据具有较高的精度和稳定性,能够得到振幅和相位信息准确的反射波场.

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