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广义棱柱和补棱柱中的超欧拉图
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作者 王刘岩 牛兆宏 《云南民族大学学报(自然科学版)》 CAS 2017年第5期376-380,共5页
对于一个图G,它的顶点标号为1,2,…,n,S_n是在{1,2,…,n}上的n次对称群,α∈S_n是一个置换,图G的α-广义棱柱,记作α(G),是指图G的2个复制,G_x和G_y,连同所有置换边(x_i,y_(α(i))(1≤i≤n)所构成的图.图G的补棱柱,记作G G,同构于由G和... 对于一个图G,它的顶点标号为1,2,…,n,S_n是在{1,2,…,n}上的n次对称群,α∈S_n是一个置换,图G的α-广义棱柱,记作α(G),是指图G的2个复制,G_x和G_y,连同所有置换边(x_i,y_(α(i))(1≤i≤n)所构成的图.图G的补棱柱,记作G G,同构于由G和G的补图G的不交并,再加上一个连接G和G对应顶点的完美匹配构成的图.如果图G有一个生成欧拉子图,那么称G是超欧拉图.研究了完全二部图、路和圈的广义棱柱和补棱柱是超欧拉图的充要条件. 展开更多
关键词 广义 补棱柱 超欧拉图 可折图
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Steeply dipping structural target-oriented viscoacoustic least-squares reverse time migration and its application
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作者 Chen Kang Han Song +3 位作者 Ran Qi Wen Long Zhang Guang-Zhi Qu Ying-Ming 《Applied Geophysics》 SCIE CSCD 2022年第4期528-536,604,共10页
Steeply dipping structural imaging is a significant challenge because surface geophones cannot obtain seismic primary reflection wave information from steeply dipping structures.Prismatic waves with a significant amou... Steeply dipping structural imaging is a significant challenge because surface geophones cannot obtain seismic primary reflection wave information from steeply dipping structures.Prismatic waves with a significant amount of steeply dipping information can be used to improve the imaging eff ect on steeply dipping structures.Subsurface attenuation leads to amplitude loss and phase distortion of seismic waves,and ignoring this attenuation during imaging can cause blurring of migration amplitudes.In this study,we proposed a steeply dipping structural target-oriented viscoacoustic least-squares reverse time migration(LSRTM)method with prismatic and primary waves as an objective function based on the viscous wave equation,while deriving Q-compensated wavefield propagation and joint operators of prismatic and primary waves and the Q-compensated demigration operator.Numerical examples on synthetic and field data verified the advantages of the proposed viscoacoustic LSRTM method of joint primary and prismatic waves over conventional viscoacoustic LSRTM and non-compensated LSRTM when using attenuating observed data. 展开更多
关键词 Q-compensation prismatic wave least-squares reverse time migration steeply dipping structure
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