New imaging method for seismic reflection wave and its theoretical basis



Some new imaging formulas for seismic reflection wave and their theoretical basis are given. Phenomena of wave propagation should be characterized by instantaneous spectrum and expressed by complex function of three variables (time, space and frequency) in mathematics. Various physical parameters of medium are also complex functions of two variables (space and frequency). The relationship between reflection coefficient of medium and spectrum of reflected wave is given. Multi-reflection and filter of formations are considered in inversion formulas. Problems in classical convolution model and wave equation are illustrated. All these inversion formulas can be used to image underground medium by wavelet transform and method of “3-basic colors”. Different colors mean different media.


wavelet seismic prospecting reflection coefficient sectional drawing 


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Copyright information

© Science in China Press 2001

Authors and Affiliations

  1. 1.Department of Information & Control, Institute of MathematicsShandong UniversityJinanChina

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