各向异性弹性波动交错网格高阶差分法的误差研究 |
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引用本文: | 侯安宁,何樵登,马在田.各向异性弹性波动交错网格高阶差分法的误差研究[J].吉林大学学报(地球科学版),1995(4). |
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作者姓名: | 侯安宁 何樵登 马在田 |
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作者单位: | 同济大学海洋地质与地球物理系,长春地质学院地球物理系 |
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摘 要: | 研究了各向异性介质中弹性波动方程交错网格高阶差分法求解的数值相速度色散和数值相速度误差。从而表明了交错网格差分法一般情况下要求每个最短波长离散网格点数约为6。同时表明了高阶差分(4,6)阶的数值各向异性要比低阶的(2,2)阶小得多。
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关 键 词: | 各向异性介质,弹性波,交错网格高阶差分,速度色散,速度误差 |
A STUDY ON THE ERRORS OF ELASTIC WAVE STAGGERED-GRID HIGH-ORDER DIFFERENCE METHOD IN ANISOTROPIC MEDIA |
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Abstract: | The phase velocity dispersion and the numerical phase velocity errors ofelastic wave staggered-grid high-order difference method in anisotropic medium havebeen studied. From the results,we have found that in general the difference method needsabout 6 grid points within the shortest wavelength.Meanwhile,we can see that high-order difference such as(4,6)order has smaller numerical anisotropy than the low orderdifference such as(2,2)order. |
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Keywords: | anisotropic medium elastic wave staggered-grid high-orderdifference velocity dispersion velocity errors |
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