Abstract
In order to provide an effective theoretical basis for the location of microseismic source, active seismic exploration technology, and internal medium structure inversion of coal mine in different areas, we analyze the propagation law of microseismic wave in different medium accurately and intuitively. In this paper, we first studied the finite difference method suitable for the analysis of wave field characteristics of coal and rock medium in a coal mine. Then, we established the typical models of coal-rock combination multi-layer medium, fault-bearing coal-rock medium, coal-rock dual-phase medium of water-bearing and gas-bearing and stochastic medium model, and random medium model. Finally, we obtained the wave field snapshot and single shot recording of different medium model. The research shows that the high-order finite difference method can accurately obtain P and S waves field characteristics under different media conditions. The wave field characteristics of different medium models are different. In the coal-rock combination multi-layer model, the transmitted wave, transmitted converted wave, reflected wave, and reflected converted wave are generated on the different medium interfaces. In the fault model, not only the transmitted wave, transmitted converted wave, reflected wave, and reflected converted wave but also the refracted and diffracted waves are produced at fault area. In the coal-rock dual-phase medium of water-bearing and gas-bearing model, three types of waves are excited by the source, which are fast longitudinal (P) waves, transverse (S) waves, and slow longitudinal (P) waves. However, the propagation of slow longitudinal wave is different in these models. Under the stochastic media model, there are very complex scattering waves. The snapshots at different time further describe the wave field’s dynamic characteristics vividly, which establish the theoretical basis of the analysis of microseismic waves. Based on the analysis of the wave field characteristics of coal and rock in the mine, it can provide theoretical support and basis for the active seismic exploration and internal medium structure inversion of coal mine in different areas. What’s more, a more practical wave velocity model can be established to provide an effective theoretical basis for the location of microseismic source. When there is a disaster in the coal mine, we can determine the exact location of the source as soon as possible and take corresponding measures.
Similar content being viewed by others
References
Aldridge DF et al (2006) Finite-difference numerical simulation of seismic gradiometry[J]. In: Agu Fall Meeting Abstracts
Alterman (1968) Propagation of elastic wave in layered media by finite difference methods. Bull Seismol Soc Am 58(1):367–398. https://doi.org/10.1016/0040-1951(67)90024-8
Bohlen T (2002) Parallel 3-D viscoelastic finite difference seismic modelling[J]. Comput Geosci 28(8):887–899. https://doi.org/10.1016/s0098-3004(02)00006-7
Bousbia B, Badreddine S (2019) Nonlinear deterministic study of seismic microzoning of a city in North of Algeria[J]. Civil Eng J 5(8):1774–1787. https://doi.org/10.28991/cej-2019-03091370
Carcione JM, Herman GC, ten Kroode APE (2002) Seismic modeling[J]. Geophysics 67(4):1340–1325. https://doi.org/10.1190/1.1500393
Chen D et al (2019) Study on wave field characteristics of different media models of coal and rock [J]. Rock and Soil Mechanics, 40(S1):449–458+467. https://doi.org/10.16285/j.rsm.2018.1923
Cheng BJ et al (2007) Numerical modeling of the seismic wave-field in cracked media with liquid [J]. Progress Geophys 22(5):1370–1374 CNKI:SUN:DQWJ.0.2007-05-006
De Basabe JD et al (2016) Elastic wave propagation in fractured media using the discontinuous Galerkin method[J]. Geophysics 81(4):T163–T174. https://doi.org/10.1190/geo2015-0602.1
Dong GL et al (2000) A study on stability of the staggered-grid high-order difference method of first-order elastic wave equation [J]. Chin J Geophys 43(6):856–864 CNKI:SUN:DQWX.0.2000-06-014
Feng CY et al (2007) The review of the finite-difference elastic wave motion modeling [J]. Prog Geophys (02):487–491. https://doi.org/10.3969/j.issn.1004-2903.2007.02.021
Fontara IK et al (2016) Numerical simulation of seismic wave field in graded geological media containing multiple cavities[J]. Geophys J Int (2):ggw179. https://doi.org/10.1093/gji/ggw179
Forcellini D, Tanganelli M, Viti S (2018) Response site analyses of 3D homogeneous soil models[J]. In: doi: 10.28991/esj-2018-01148, vol 2
He YF et al (2013) Comparison of boundary element method and finite-difference method for simulating seismic wave propagation in complex media [J]. Prog Geophys 28(02):664–678 CNKI:SUN:DQWJ.0.2013-02-017
He XQ et al (2014) Continuous monitoring and warning theory and technology of rockburst dynamic disaster of coal[J]. J China Coal Soc (08):1485–1491. https://doi.org/10.13225/j.cnki.jccs.2014.9030
Huang C, Dong GL (2009) Staggered-grid high-order finite-difference method in elastic wave simulation with variable grids and local time-steps [J]. Chin J Geophys 52(11):2870–2878 CNKI:SUN:DQWX.0.2009-11-023
Ji et al (2019) Preliminary study on wave field and dispersion characteristics of channel waves in HTI coal seam medium [J]. Chinese Journal of Geophysics 062(002):789–801. https://doi.org/10.6038/cjg2019M0230
Jiang YD et al (2014) State of the art review on mechanism and prevention of coal bumps in China[J]. J China Coal Soc (02):205–213. https://doi.org/10.13225/j.cnki.jccs.2013.0024
KäSer M et al (2010) Wavefield modeling in exploration seismology using the discontinuous Galerkin finite-element method on HPC infrastructure[J]. Leading Edge 29(1):76. https://doi.org/10.1190/1.3284056
Kelly (1976) Synthetic seismograms-a finite difference approach. Geophysics 141:2–27. https://doi.org/10.1190/1.1440605
Lambert MA, Saenger EH, Quintal B, Schmalholz SM (2013) Numerical simulation of ambient seismic wavefield modification caused by pore-fluid effects in an oil reservoir[J]. Geophysics 78(1):T41–T52. https://doi.org/10.1190/geo2011-0513.1
Li JY, Chen XH (2006) Study on seismic wave field numerical simulation in transverse isotropic medium [J]. Prog Geophys, 21(3): 700~705. doi: https://doi.org/10.3969/j.issn.1004-2903.2006.03.004
Li CP et al (2006) Characteristics of scattered waves in heterogeneous geological bodies[J]. Geophys Prospect Pet 45(2):134–140. https://doi.org/10.3969/j.issn.1000-1441.2006.02.004
Li XF et al (2007) Summary of seismic wave numerical simulation method [J]. Journal of Disaster Prevention and Mitigation Engineering 27(2):241–248 CNKI:SUN:DZXK.0.2007-02-020
Li GP et al (2011) Several key issues of finite-difference seismic wave numerical simulation [J]. Prog Geophys 26(02):469–476 CNKI:SUN:DQWJ.0.2011-02-010
Liu HL et al (2010) Numerical modeling of the P- and S- wave field separation with high-order staggered-grid finite-difference scheme [J]. Prog Geophys 25(3):877–884 CNKI:SUN:DQWJ.0.2010-03-023
Liu ZQ et al (2016) Mimetic finite-difference numerical simulation of seismic wave based on the adaptive grid [J]. Chin J Geophys 59(12):4654–4665 CNKI:SUN:DQWX.0.2016-12-025
Ning G et al (2008) An analysis of the error source in the wave propagation forward numerical simulation. Geophysical and Geochemical Exploration 35(02):203–206. https://doi.org/10.1016/S1876-3804(08)60015-4
Panah AK, Nouri A (2016) An investigation of local site effects using linear and nonlinear analysis and comparison between them[J]. Civil Eng J 2(4):113–122. https://doi.org/10.28991/cej-2016-00000018
Smith DN, Ferguson JF (2000) Constrained inversion of seismic refraction data using the controlled random search[J]. Geophysics 65(5):1622–1630. https://doi.org/10.1190/1.1444850
Sun WT (2009) Finite difference numerical method for elastic wave equation [J]. Tsinghua University Press, Beijing, pp 25–27
Virieux JM (1984) SH-wave propagation in heterogeneous media: velocity-stress finite-difference method[J]. Geophysics 49(11):1933–1957. https://doi.org/10.1190/1.1441605
Vishnevsky D, Lisitsa V, Tcheverda V, Reshetova G (2014) Numerical study of the interface errors of finite-difference simulations of seismic waves[J]. Geophysics 79(4):T219–T232. https://doi.org/10.1190/geo2013-0299.1
Wang T et al (2016) Comparison of ray theory and FDM for simulating seismic wavefield in isotropic media [J]. Prog Geophys 31(02):606–613. https://doi.org/10.6038/pg20160213
Wang Y et al (2018) Numerical Simulation of Elastic Wave Equation and Analysis of Wave Field Characteristics in 2-D VTI Medium [J]. Open Journal of Yangtze Oil and Gas 03(03):153–166. https://doi.org/10.4236/ojogas.2018.33014
Xue DC et al (2007) Wave equation finite-element modeling including rugged topography and complicated medium [J]. Progress in Geophysics 22(2):522–529 CNKI:SUN:DQWJ.0.2007-02-025
Yang Y (2009) The research on two-dimensional finite-difference seismic wave field numerical simulation [D]. China Univ Geosci (Beijing)
Zhang YG (2003) On numerical simulations of seismic wavefield [J]. GEOPHYSICAL PROSPECTING FOR PETROLEUM, 42(2). CNKI:SUN:SYWT.0.2003-02-000
Zhang LX et al (2010) Finite difference modeling of Biot’s poroelastic equations with unsplit convolutional PML and rotated staggered grid [J]. Chin J Geophys 53(10):2470–2483. https://doi.org/10.3969/j.issn.0001-5733.2010.10.021
Zhu HJ et al (2009) Two-dimensional seismic wave simulation in anisotropic media by non-staggered finite difference method [J]. Chin J Geophys 52(6):1536–1546 CNKI:SUN:DQWX.0.2009-06-016
Author information
Authors and Affiliations
Corresponding author
Additional information
Responsible Editor: Murat Karakus
Rights and permissions
About this article
Cite this article
Li, N., Chen, D. & Wang, Ey. Study on the characteristics of microseismic wave field of complex medium model in coal mine. Arab J Geosci 13, 1111 (2020). https://doi.org/10.1007/s12517-020-06063-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12517-020-06063-6