地震波数值模拟中差分阶数的边界效应

英文篇名：DIFFERENCE ORDER'S BOUNDARY EFFECT OF THE SEISMIC WAVE NUMERICAL SIMULATION
中文刊名：高原地震
英文刊名：Plateau Earthquake Research
作者：陈可洋
英文作者：CHEN Keyang(Exploration and Development Research Institute of Daqing Oilfield Company Limited of CNPC ; Daqing ; Heilongjiang Province ; Daqing 163712 ; China)
中文关键词：差分阶数 ; 模拟精度 ; 边界效应 ; 声波方程 ; 数值计算
英文关键词：Difference order ; Simulating precision ; Boundary effect ; Acoustic wave equation ; Numerical computation
出版日期：2011-03-15
机构：中国石油大庆油田有限责任公司勘探开发研究院;
年：2011
期：01
出版单位：高原地震

摘要

提出了声波正演数值模拟中计算网格间差分阶数(精度)的不衔接而引起的边界反射效应问题,采用不同中心网格有限差分法求解声波波动方程来验证。数值实例分析表明,同差分阶数间不存在任何边界效应,而当差分阶数较低且网格间差分阶数递变较大时,边界效应显著,通过缩小差分网格间的递变阶数并提高相应的离散阶数,可以有效压制该边界效应,并保证计算结果具有较高的信噪比和可信度。
The paper puts forward a problem on boundary reflective effect during the forward numerical simulation,which is caused by the incoherence within the computational grids of difference order(precision),verified it by different difference-order centered-grid finite-difference scheme for the acoustic wave equation.The numerical examples show that there are no boundary effects among the grids with the same difference orders,if the difference order of the adjacent grids is low and varies greatly,the boundary effect is obvious,however,the boundary effect can be effectively suppressed by reducing the varied orders between adjacent grids and improving the discrete difference order,and the Signal to Noise and high credibility can be ensured.

引文

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