Basis pursuit inversion for Young's modulus and Poisson's ratio
LIU Chang1,2,3,4, LI Chao5, ZHU Zhenyu5, CHEN Guojun1
1. Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China; 2. China United Coalbed Methane Corporation Ltd., Beijing 100011, China; 3. Unconventional Oil & Gas Branch, CNOOC, Beijing 100011, China; 4. University of Chinese Academy of Sciences, Beijing 100049, China; 5. ResearchInstitute, CNOOC, Beijing 100028, China
Abstract：Based on the basis pursuit theory,this paper develops an approach to directly invert Young's modulus and Poisson's ratio with the prestack seismic data.First based on the approximate equation of Zoeppritz equation and the relationship between elastic parameters,a linear approximate equation of seismic reflection coefficient is derived,which contains Young's modulus,Poisson's ratio,and density.Thereafter,Young's modulus and Poisson's ratio are directly inverted with the prestack seismic data based on the basis pursuit.In order to improve the stability,model constraints are added to objective functions of the basis pursuit inversion.Both model tests and real data applications show that the proposed approach can stably estimate Young's modulus and Poisson's ratio from seismic data.
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