none 10.1190/geo2019-0643.1 Society of Exploration Geophysicists Society of Exploration Geophysicists 186 117015780 5981 2025121211265965900 10.1190 2025-12-12T16:27:05Z 2020-06-10T14:58:50Z 9 Geophysics 0016-8033 1942-2156 07 1 2020 85 4 Binpeng Yan China University of Petroleum-Beijing at Karamay 1 , Department of Petroleum, Xinjiang, China and , State Key Laboratory of Petroleum Resources and Prospecting, CNPC Key Laboratory of Geophysical Exploration, Changping, Beijing, China. E-mail: yanbp@cupk.edu.cn (corresponding author). China University of Petroleum-Beijing 1 , Department of Petroleum, Xinjiang, China and , State Key Laboratory of Petroleum Resources and Prospecting, CNPC Key Laboratory of Geophysical Exploration, Changping, Beijing, China. E-mail: yanbp@cupk.edu.cn (corresponding author). http://orcid.org/0000-0001-5195-5710 Shangxu Wang China University of Petroleum-Beijing 2 , State Key Laboratory of Petroleum Resources and Prospecting, CNPC Key Laboratory of Geophysical Exploration, Changping, Beijing, China. E-mail: wangsx@cup.edu.cn . http://orcid.org/0000-0003-0265-5679 Yongzhen Ji Sinopec Institute of Geophysical Prospecting Technology 3 , Jiangning, Nanjing, China. E-mail: jiyz232@sina.com . http://orcid.org/0000-0003-3026-6531 Xingguo Huang University of Bergen 4 , Department of Earth Sciences, Allegate 41, 5020 Bergen, Norway. E-mail: xingguo.huang19@gmail.com . http://orcid.org/0000-0001-9719-6297 Nuno V. da Silva Imperial College London 5 Formerly , Department of Earth Science and Engineering, South Kensington Campus, London SW7 2AZ, UK; presently , Tarland Road, Westhill, Aberdeen AB32 6JZ, UK. E-mail: nuno.vdasilva@gmail.com . Total E&P UK 5 Formerly , Department of Earth Science and Engineering, South Kensington Campus, London SW7 2AZ, UK; presently , Tarland Road, Westhill, Aberdeen AB32 6JZ, UK. E-mail: nuno.vdasilva@gmail.com . ABSTRACT As an approximation of the spherical-wave reflection coefficient (SRC), the plane-wave reflection coefficient does not fully describe the reflection phenomenon of a seismic wave generated by a point source. The applications of SRC to improve analyses of seismic data have also been studied. However, most of the studies focus on the time-domain SRC and its benefit to using the long-offset information instead of the dependency of SRC on frequency. Consequently, we have investigated and accounted for the frequency-dependent spherical-wave reflection coefficient (FSRC) and analyzed the feasibility of this type of inversion. Our inversion strategy requires a single incident angle using reflection data for inverting the density and velocity ratios, which is distinctly different from conventional inversion methods using amplitude variation with offset. Hence, this investigation provides an alternative approach for estimating media properties in some contexts, especially when the range of aperture of the reflection angles is limited. We apply the FSRC theory to the inversion of noisy synthetic and field data using a heuristic algorithm. The multirealization results of the inversion strategy are consistent with the feasibility analysis and demonstrate the potential of the outlined method for practical application. 06 15 2020 07 1 2020 06 10 2020 R425 R435 Research Foundation of China University of Petroleum-Beijing at Karamay XQZX20200008 1 10.1190/crossmark-policy library.seg.org true 2019-10-09 2020-04-04 2020-04-07 2020-06-15 Research Foundation of China University of Petroleum-Beijing at Karamay XQZX20200008 10.1190/geo2019-0643.1 https://pubs.geoscienceworld.org/geophysics/article/85/4/R425/587414/Frequency-dependent-spherical-wave-reflection https://pubs.geoscienceworld.org/seg/geophysics/article-pdf/85/4/R425/5088786/geo-2019-0643.1.pdf https://pubs.geoscienceworld.org/seg/geophysics/article-pdf/85/4/R425/5088786/geo-2019-0643.1.pdf https://pubs.geoscienceworld.org/geophysics/article/85/4/r425/587414/frequencydependent-sphericalwave-reflection Quantitative seismology: Theory and method Aki 1980 0016-8033 Geophysics Al-Dajani 65 222 2000 10.1190/1.1444713 Reflection moveout inversion for horizontal transverse isotropy: Accuracy, limitation, and acquisition 0016-8033 Geophysics Alhussain 73 2 C7 2008 10.1190/1.2837641 Experimental verification of spherical-wave effect on the AVO response and implications for three-term inversion 0016-8025 Geophysical Prospecting Alulaiw 61 53 2013 10.1111/j.1365-2478.2012.01060.x Analytic wavefront curvature correction to plane-wave reflection coefficient for a weak contrast interface 0016-8033 Geophysics Ayzenberg 74 5 WB33 2009 10.1190/1.3197862 Effective reflection coefficients for curved interfaces in transversely isotropic media 0016-8033 Geophysics Debski 60 1426 1995 10.1190/1.1443877 Information on elastic parameters obtained from the amplitudes of reflected waves Journal of Geophysics and Engineering Dong 10 2013 10.1088/1742-2132/10/5/054002 Numerical experiment and analysis of the differential acoustic resonance spectroscopy for elastic property measurements 0016-8033 Geophysics Downton 71 5 E49 2006 10.1190/1.2227617 Linearized amplitude variation with offset (AVO) inversion with supercritical angles 0016-8033 Geophysics Fatti 59 1362 1994 10.1190/1.1443695 Detection of gas in sandstone reservoirs using AVO analysis: A 3-D seismic case history using the Geostack technique 0016-8033 Geophysics Gardner 39 770 1974 10.1190/1.1440465 Formation velocity and density — The diagnostic basics for stratigraphic traps 0895-7177 Mathematical and Computer Modelling Ingber 12 967 1989 10.1016/0895-7177(89)90202-1 Very fast simulated re-annealing 0926-9851 Journal of Applied Geophysics Ji 133 1 2016 10.1016/j.jappgeo.2016.07.016 Frequency domain sparse Bayesian learning inversion of AVA data for elastic parameters reflectivities 0956-540X Geophysical Journal International Li 204 1308 2016 10.1093/gji/ggv523 In situ evidence for frequency dependence of near-surface Q 0956-540X Geophysical Journal International Li 211 700 2017 10.1093/gji/ggx308 A novel expression of the spherical-wave reflection coefficient at a plane interface 0033-4553 Pure and Applied Geophysics Li 174 1759 2017 10.1007/s00024-017-1489-y Frequency-dependent spherical-wave reflection in acoustic media: Analysis and inversion 0016-8033 Geophysics Skopintseva 78 3 N11 2013 10.1190/geo2011-0288.1 An analysis of AVO inversion for postcritical offsets in HTI media 0016-8033 Geophysics Skopintseva 76 6 C65 2011 10.1190/geo2010-0079.1 Long-offset AVO inversion of PP reflections from plane interfaces using effective reflection coefficients 0956-540X Geophysical Journal International Wehner 214 1206 2018 10.1093/gji/ggy196 Frequency-depth dependent spherical reflection response from the sea surface — A transmission experiment 0016-8033 Geophysics Wei 78 2 WA91 2013 10.1190/geo2012-0342.1 On the generation of low frequencies with modern seismic vibrators