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中南大学学报(自然科学版)

Journal of Central South University

第32卷    第5期    总第141期    2001年10月

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文章编号:1005-9792(2001)05-0441-04
粘弹性波动方程正演和偏移
崔建军,何继善

(中南大学资源环境与建筑工程学院,湖南长沙 410083)

摘 要: 理论和实际研究均表明大地介质属于非完全弹性介质,它是具有粘滞性的粘弹性体,地震波在大地中传播时,质点的震动能量转化为其他各种形式的能量,这种能量的转化使地震波在粘弹性介质中传播时,其高频成分很容易被吸收,振幅近似按指数规律衰减,波形和相位失真.作者从二维粘弹性波动方程出发,在频率波数域内导出了粘弹性波动方程的正演和偏移算法.根据设计的地质模型,分别对粘弹性介质和弹性介质中的点状绕射源进行正演模拟,模拟结果表明介质的粘滞性对地震波予以吸收和衰减;将粘滞性介质中点状绕射源的正演结果,分别用粘弹性波动方程偏移算法和弹性波动方程偏移算法进行偏移模拟,并予以对比分析,其结果进一步说明了对实际介质中地震波的吸收和衰减作用的处理效果,证明了所得算法的准确性和有效性.

 

关键字: 粘弹性波动方程;正演;偏移;吸收;衰减

Viscoelastic wave equation forward modeling and migration
CUI Jian-jun,HE Ji-shan

College of Resources, Environment and Civil Engineering, Central South University, Changsha 410083, China

Abstract:The theoretical research and actual investigation showthat actual media is not elastic media, but is viscoelasticmedia, and thatthe seismicwavewas absorbed andweakened, its processingwas affected. Therewere some research reports on seismic wave processing in the world, but none of the methods was based on frequency-wavenumber domain .The method based on frequency-wavenumber forward formula and migration arithmetic had characteristics of simpleness ,celerity ,less dependence on stratum obliquity and good stabilization. According to the visco-elastic wave equation, forward formula and migration arithmetic is put forward through F-Kmethod. In order to prove the validity of the method, ageology model was designed and made as input of forward formula of viscoelastic media and elastic media respectively.The results of forward modeling disclosed the attenuation and absorption of seismic wave in viscoelastic media. Migration was carried out on forward result of diffract point in viscoelastic by viscoelastic wave equation migration arithmetic and wave equationmigration arithmetic respectively. The two results obtainedwere compared in this paper and showed the influence of absorption and attenuation of seismic wave on processing result, so the developed method is proved to be accurate and effective simultaneity.

 

Key words: viscoelastic wave equation; forward modeling; migration; absorbsion; attenuation

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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