西南石油大学学报(自然科学版) ›› 2012, Vol. 34 ›› Issue (5): 78-82.

• 地质勘探 • Previous Articles     Next Articles

Application Research Based on the Conformal Mapping to theWave Field of Seismic Fracture

Chen Wei, Wang Shangxu   

  1. State Key Laboratory of Oil and Gas Resources and Detection，China University of Petroleum（Beijing），Changping，Beijing 102249，China
  • Received:1900-01-01 Revised:1900-01-01 Online:2012-10-01 Published:2012-10-01

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Abstract: In view of the actual shape of fracture formation，two fracture models are presented in this paper. One is general
quadrilateral fracture model，and the other is the horny fracture model. The wave fields of single fracture were studied based on
the conformal mapping method. First of all，the conformal mapping on the fracture area in physical domain was transformed to
the upper half plane in the computational domain and the boundary conditions in physical domain to the boundary conditions
in the computational domain；secondly，the wave fields near the boundary of the fracture in the computational domain were
calculated；fInally，the wave fields variation curve in the boundary of physical domain through the inverse conformal mapping
transformation was obtained. The conformal mapping method are used in our research on the quantitative relationship of the
wave fields of a single and several any shape fracture provides some new ideas about the heterogeneity problem in the exploration
geophysical.

Key words: fracture, wave field, general quadrilateral, horny, conformal mapping