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Article

A Low-Order Series Approximation of Thin-Bed PP-Wave Reflections

by 1, 1,*, 2, 3 and 4
1
State Key Laboratory of Geological Processes and Mineral Resources, School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China
2
Key Laboratory of Marine Reservoir Evolution and Hydrocarbon Accumulation Mechanism, Ministry of Education, China University of Geosciences, Beijing 100083, China
3
China Petroleum & Chemical Corporation, Beijing 100728, China
4
Petroleum Exploration and Production Research Institute of Sinopec, Beijing 100083, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(4), 709; https://doi.org/10.3390/app9040709
Received: 18 January 2019 / Revised: 9 February 2019 / Accepted: 11 February 2019 / Published: 18 February 2019
(This article belongs to the Section Acoustics and Vibrations)
The study of thin-bed seismic phenomena is important in crustal, exploration and engineering seismology. Presently, seismic reflectivity theories based on single-interface assumption are widely used though they are only suitable for thick deposits. Thin-bed reflectivity theories are established on complex propagator matrices and are difficult to be applied to reveal thin-bed properties directly. Therefore, an approximation of thin-bed PP-wave reflection coefficients (RPP) is derived in this paper. First, the relationship between thin-bed RPP and incidence angles is analyzed through series expansion method. For PP-wave, its reflection coefficients are even power series functions of sine incidence angles. Then, for small incidence, RPP of the thin bed is further simplified into a second-order series approximation with respect to the sine incidence angles. Simulations and accuracy analyses of the approximate formula show that approximation errors are smaller than 5% as the incidence angles smaller than 20 degrees. Based on this approximate formula, an approach is given for estimating thin-bed properties including P-wave impedance ratios and thickness. The estimation approach is applied in properties estimation of a thin bed model. Perfect performances of the model example show the future potentiality of the approximate formula in thin-bed Amplitude-Versus-Offset (AVO) analysis and inversion. View Full-Text
Keywords: thin bed; PP-wave reflection coefficients; approximate formula; series expansion method thin bed; PP-wave reflection coefficients; approximate formula; series expansion method
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MDPI and ACS Style

Yang, C.; Wang, Y.; Lu, J.; Chen, B.; Shi, L. A Low-Order Series Approximation of Thin-Bed PP-Wave Reflections. Appl. Sci. 2019, 9, 709. https://doi.org/10.3390/app9040709

AMA Style

Yang C, Wang Y, Lu J, Chen B, Shi L. A Low-Order Series Approximation of Thin-Bed PP-Wave Reflections. Applied Sciences. 2019; 9(4):709. https://doi.org/10.3390/app9040709

Chicago/Turabian Style

Yang, Chun, Yun Wang, Jun Lu, Benchi Chen, and Lei Shi. 2019. "A Low-Order Series Approximation of Thin-Bed PP-Wave Reflections" Applied Sciences 9, no. 4: 709. https://doi.org/10.3390/app9040709

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