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Coal Geology & Exploration

Abstract

The accurate detection of near-surface low-velocity anomalies (such as cavities), which has always been a valuable and challenging research topic in the field of geophysics, holds great significance for the fine-scale near-surface modeling in urban disaster assessment and the seismic exploration of coalfields under complex conditions. The full-waveform inversion (FWI) of surface waves is suitable for high-precision near-surface modeling. However, there still exist many urgent problems with the modeling in practical applications. To solve the key issues of the FWI of surface waves, such as multi-parameter crosstalk, actual data preprocessing, and source wavelet estimation, this study developed a complete method of multi-parameter FWI of Rayleigh waves to achieve the accurate detection of near-surface cavities. In this method, (1) the S- and P-wave velocities and density of the models were updated synchronously in the process of inversion, thus reducing the negative effects of the deviations of the P-wave velocity and density from their actual values on the accuracy of inverted S-wave velocities; (2) the quasi-Hessian operator constructed using the adjoint state method was employed to conduct gradient preprocessing in order to suppress surface artifacts, enhance wavefield illumination, and improve the characterization ability for small-scale anomalies; (3) to transform the 3D wave field into a 2D wave field, the convolutional factor was used to eliminate the dimension difference between the wavefield forward modeling and the actual data acquisition; (4) to reduce the influence of specific inaccurate parameter models, the corrected filtering method was used to dynamically estimate the source wavelets during the iterative process; (5) to improve the stability of the inversion, a multi-scale inversion strategy was adopted to alleviate the non-convexity of the objective function caused by low-velocity anomalies. The synthetic data and the test results of actual cases show that the models of the S- and P-wave velocities and the density developed using the multi-parameter FWI method of Rayleigh waves were roughly consistent, with the S-wave velocity model being the most accurate. The S-wave velocity model obtained through the inversion of measured data revealed a 4 m × 3 m artificial cavity, whose location and size are consistent with the actual situation. This result demonstrates the method proposed in this study features feasibility and effectiveness in the detection of near-surface cavities.

Keywords

Rayleigh wave, full-waveform inversion, cavity detection, low-velocity anomaly, shear-wave velocity

DOI

10.12363/issn.1001-1986.23.02.0064

Reference

[1] 戚志鹏,郭建磊,孙乃泉,等. 隧道瞬变电磁克希霍夫偏移成像与地质灾害探测[J]. 煤田地质与勘探,2022,50(5):129−135.

QI Zhipeng,GUO Jianlei,SUN Naiquan,et al. Geological structure detection with tunnel transient electromagnetic Kirchhoff 2D migration imaging[J]. Coal Geology & Exploration,2022,50(5):129−135.

[2] 曾爱平,彭慧芳,吴豪杰,等. 浅层地震在薄层采空区探测技术研究实践[J]. 地球物理学进展,2022,37(6):2639−2647.

ZENG Aiping,PENG Huifang,WU Haojie,et al. Research on shallow seismic technology in the detection of underground thin goaf in urban[J]. Progress in Geophysics,2022,37(6):2639−2647.

[3] 侯泽明,杨德义. 山西煤矿采区高密度三维地震勘探综述[J]. 煤田地质与勘探,2020,48(6):15−24.

HOU Zeming,YANG Deyi. Summary of high density 3D seismic exploration in the mining districts of coal mines in Shanxi Province[J]. Coal Geology & Exploration,2020,48(6):15−24.

[4] 孟庆利,任俊兴,杨帆. 南川地区溶洞及采空区地震资料针对性处理方法[J]. 煤田地质与勘探,2021,49(3):205−211.

MENG Qingli,REN Junxing,YANG Fan. Targeted processing method for seismic data of karst caves and goafs in Nanchuan Area[J]. Coal Geology & Exploration,2021,49(3):205−211.

[5] 李宇,杨德义,闫培. 一种快速建立层析反演初始模型的方法[J]. 煤田地质与勘探,2009,37(6):67−70.

LI Yu,YANG Deyi,YAN Pei. A method of creating quickly an initial model in tomography inversion[J]. Coal Geology & Exploration,2009,37(6):67−70.

[6] 李宇,杨德义,邓辉,等. 初至旅行时层析反演近地表模型精度分析[J]. 石油地球物理勘探,2011,46(2):221−225.

LI Yu,YANG Deyi,DENG Hui,et al. Analysis on inversion accuracy of near–surface model inversed by first break traveltime tomography[J]. Oil Geophysical Prospecting,2011,46(2):221−225.

[7] PARK C B,MILLER R D,XIA Jianghai. Multichannel analysis of surface waves[J]. Geophysics,1999,64(3):800−808.

[8] XIA Jianghai,XU Yixian,LUO Yinhe,et al. Advantages of using multichannel analysis of Love waves (MALW) to estimate near−surface shear−wave velocity[J]. Surveys in Geophysics,2012,33(5):841−860.

[9] SLOAN S D,NOLAN J J,BROADFOOT S W,et al. Using near–surface seismic refraction tomography and multichannel analysis of surface waves to detect shallow tunnels:A feasibility study[J]. Journal of Applied Geophysics,2013,99:60−65.

[10] SHERMAN C S,RECTOR J,DREGER D,et al. A numerical study of surface wave based tunnel detection at the Black Diamond Mines regional preserve,California[J]. Geophysics,2018,83(4):EN13−EN22.

[11] 杨智,李宇,赵飞,等. 面波多道分析法精细探测浅部煤层采空区应用研究[J]. 矿业科学学报,2022,7(1):113−122.

YANG Zhi,LI Yu,ZHAO Fei,et al. Fine detection of shallow coal mined−out areas by multichannel analysis of surface waves[J]. Journal of Mining Science and Technology,2022,7(1):113−122.

[12] SHAO Guangzhou,TSOFLIAS G P,LI Changjiang. Detection of near–surface cavities by generalized S–transform of Rayleigh waves[J]. Journal of Applied Geophysics,2016,129:53−65.

[13] HU Shufan,ZHAO Yonghui,SOCCO L V,et al. Retrieving 2–D laterally varying structures from multistation surface wave dispersion curves using multiscale window analysis[J]. Geophysical Journal International,2021,227(2):1418−1438.

[14] TARANTOLA A. Inversion of seismic reflection data in the acoustic approximation[J]. Geophysics,1984,49(8):1259−1266.

[15] MÉTIVIER L,BROSSIER R,VIRIEUX J,et al. The truncated Newton method for full waveform inversion[C]. SEG Technical Program Expanded Abstracts,2012,386:012013.

[16] MÉTIVIER L,BROSSIER R,VIRIEUX J,et al. Full waveform inversion and the truncated Newton method[J]. SIAM Journal on Scientific Computing,2013,35(2):B401−B437.

[17] GUAN Jianbo,LI Yu,LIU Guohua. Preconditioned conjugate gradient algorithm−based 2D waveform inversion for shallow−surface site characterization[J]. Shock and Vibration,2021,2021:3164358.

[18] 管建博,李宇,殷裁云,等. 基于拟Hessian梯度预处理算子的勒夫波全波形反演研究[J]. 煤田地质与勘探,2021,49(4):49−59.

GUAN Jianbo,LI Yu,YIN Caiyun,et al. Love wave full waveform inversion via Pseudo−Hessian gradient pre−conditioning operator[J]. Coal Geology & Exploration,2021,49(4):49−59.

[19] PAN Yudi,GAO Lingli,BOHLEN T. High−resolution characterization of near−surface structures by surface−wave inversions:From dispersion curve to full waveform[J]. Surveys in Geophysics,2019,40(2):167−195.

[20] DOKTER E,KOHN D,WILKEN D,et al. Full–waveform inversion of SH– and Love–wave data in near–surface prospecting[J]. Geophysical Prospecting,2017,65(Sup.1):216−236.

[21] PAN Yudi,XIA Jianghai,XU Yixian,et al. Love–wave waveform inversion in time domain for shallow shear−wave velocity[J]. Geophysics,2016,81(1):R1−R14.

[22] YAN Yingwei,WANG Zhejiang,LI Jing,et al. Elastic SH– and Love–wave full–waveform inversion for shallow shear wave velocity with a preconditioned technique[J]. Journal of Applied Geophysics,2020,173:103947.

[23] ALAM M I. Near surface characterization using traveltime and full waveform inversion with vertical and horizontal component seismic data[J]. Interpretation,2018,7(1):T141−T154.

[24] MECKING R,KÖHN D,MEINECKE M,et al. Cavity detection by SH–wave full waveform inversion:A reflection–focused approach[J]. Geophysics,2021,86(3):WA123−WA137.

[25] GUAN Jianbo,LI Yu,JI Runjun,et al. Love wave full–waveform inversion for archaeogeophysics:From synthesis tests to a field case[J]. Journal of Applied Geophysics,2022,202:104653.

[26] CHEN Jianxiong,ZELT C A,JAISWAL P. Detecting a known near–surface target through application of frequency–dependent traveltime tomography and full–waveform inversion to P– and SH−wave seismic refraction data[J]. Geophysics,2017,82(1):R1−R17.

[27] TRAN K T,MCVAY M,FARAONE M,et al. Sinkhole detection using 2D full seismic waveform tomography[J]. Geophysics,2013,78(5):R175−R183.

[28] TRAN K T,LUKE B. Full waveform tomography to resolve desert alluvium[J]. Soil Dynamics & Earthquake Engineering,2017,99:1−8.

[29] WANG Yao,MILLER R D,PETERIE S L,et al. Tunnel detection at Yuma Proving Ground,Arizona,USA. Part 1:2D full−waveform inversion experiment[J]. Geophysics,2018,84:1−44.

[30] WITTKAMP F,ATHANASOPOULOS N,BOHLEN T. Individual and joint 2–D elastic full–waveform inversion of Rayleigh and Love waves[J]. Geophysical Journal International,2018,216(1):350−364.

[31] PAN Yudi,GAO Lingli. Random objective waveform inversion of surface waves[J]. Geophysics,2020,85(4):EN49−EN61.

[32] TRAN K T,MIRZANEJAD M,MCVAY M,et al. 3D time–domain Gauss−Newton full waveform inversion for near–surface site characterization[J]. Geophysical Journal International,2019,217(1):206−218.

[33] MIRZANEJAD M,TRAN K T,MCVAY M,et al. Coupling of SPT and 3D full waveform inversion for deep site characterization[J]. Soil Dynamics and Earthquake Engineering,2020,136:106196.

[34] PLESSIX R E. A review of the adjoint–state method for computing the gradient of a functional with geophysical applications[J]. Geophysical Journal International,2006,167(2):495−503.

[35] CASTELLANOS C,ETIENNE V,HU Guanghui,et al. Algorithmic and methodological developments towards full waveform inversion in 3D elastic media[C]//SEG Technical Program Expanded Abstracts,2011.

[36] SHIN C,JANG S,MIN D J. Improved amplitude preservation for prestack depth migration by inverse scattering theory[J]. Geophysical Prospecting,2001,49(5):592−606.

[37] VIRIEUX J. P–SV wave propagation in heterogeneous media:Velocity–stress finite–difference method[J]. Geophysics,1986,51(4):889−901.

[38] BUNKS C,SALECK F M,ZALESKI S,et al. Multiscale seismic waveform inversion[J]. Geophysics,1995,60(5):1457−1473.

[39] HU Yue,PAN Yudi,XIA Jianghai. Wavefield–separated full–waveform inversion of shallow–seismic Rayleigh waves[J]. Pure and Applied Geophysics,2022,179(5):1583−1596.

[40] PARK C B,MILLER R D,XIA Jianghai. Imaging dispersion curves of surface waves on multi–channel record[C]//SEG Technical Program Expanded Abstracts,1998:1377–1380.

[41] XIA Jianghai,MILLER R D,PARK C B. Estimation of near−surface shear−wave velocity by inversion of Rayleigh waves[J]. Geophysics,1999,64(3):691−700.

[42] GROOS L,SCHӒFER M,FORBRIGER T,et al. Application of a complete workflow for 2D elastic full–waveform inversion to recorded shallow–seismic Rayleigh waves[J]. Geophysics,2017,82(2):R109−R117.

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