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基于NAD算子的高精度低数值频散地震波模拟方法
张朝元 ; ZHANG Chao-yuan
2016-03-30 ; 2016-03-30
关键词NAD算子 数值频散 高精度 地震波模拟 Monte Carlo method Perturbation calculation Differential operator method Perturbed source effects P631.4
其他题名A seismic field modeling method with high accuracy and low numerical dispersion based on the NAD operator
中文摘要基于二维声波方程,使用四阶截断的泰勒展开式离散时间偏导数,利用八阶精度的近似解析离散算子离散空间高阶偏导数,发展了一种八阶ONAD方法.通过数值误差、计算效率和复杂介质波场模拟等考察研究,结果均显示该方法在压制数值频散、计算效率和波场模拟精度等方面明显优越于四阶LAX-Wendroff Corrected(LWC)方法和八阶LWC方法.因此,八阶ONAD方法是一种有望在地震波模拟得到应用的十分有效的数值模拟方法.; The eighth-order ONAD method is developed for solving the 2-D acoustic wave equation.The new method uses the fourth-order truncated Taylor expansion to discretize partial derivative of time,and employs the eighth-order nearly analytic discrete operator discretize high-order partial derivatives of space.Through studying the numerical error,computational efficiency and complex medium wave-field simulations,those results show that this method is obviously superior to the fourth-order LAX-Wendroff Corrected(LWC)method and the eighth-order LWC method in suppressing the numerical dispersion,computational efficiency and simulation precision of wave-fields.Therefore,the eighth-order ONAD method is a very effective method of numerical simulation and can be applied in the seismic wave simulation.
语种中文 ; 中文
内容类型期刊论文
源URL[http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/146001]  
专题清华大学
推荐引用方式
GB/T 7714
张朝元,ZHANG Chao-yuan. 基于NAD算子的高精度低数值频散地震波模拟方法[J],2016, 2016.
APA 张朝元,&ZHANG Chao-yuan.(2016).基于NAD算子的高精度低数值频散地震波模拟方法..
MLA 张朝元,et al."基于NAD算子的高精度低数值频散地震波模拟方法".(2016).
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