New imaging method for seismic reflection wave and its theoretical basis |
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| Authors: | HUANG Guangyuan |
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| Institution: | Department of Information & Control, Institute of Mathematics, Shandong University, Jinan 250100, China (email: guangyuanhuang@hotmail.com) |
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| Abstract: | 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. |
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| Keywords: | wavelet seismic prospecting reflection coefficient sectional drawing |
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