Abstract
This chapter discusses three iterative methods without velocity measurement. The multi-step localization method based on the TD method, the localization method using Levenberg-Marquardt Algorithm and the localization method using P-wave and S-wave arrivals are introduced. Numerical and experimental tests are then conducted to validate the localization performances of the mentioned methods. The traditional methods are also applied to source localization for comparison.
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References
Tang L-Z, Pan C-L, Xie X-B (2003) Study on rockburst control in deep seated hard ore deposit [J]. Chin J Rock Mech Eng 22(7):l067-1071
Aki K, Lee W (1976) Determination of three‐dimensional velocity anomalies under a seismic array using first P arrival times from local earthquakes: 1. A homogeneous initial model. J Geophys Res 81(23):4381–4399
Pavlis GL, Booker JR (1980) The mixed discrete-continuous inverse problem: application to the simultaneous determination of earthquake hypocenters and velocity structure. J Geophys Res: Solid Earth 85(B9):4801–4810
Tarantola A, Valette B (1982) Inverse problems= quest for information. J Geophys 50(1):159–170
Pujol J (1988) Comments on the joint determination of hypocenters and station corrections. Bull Seismol Soc Am 78(3):1179–1189
Dong L, Shu W, Han G, Li X, Wang J (2017) A multi-step source localization method with narrowing velocity interval of cyber-physical systems in buildings. IEEE Access 5:20207–20219. https://doi.org/10.1109/access.2017.2756855
Nelson GD, Vidale JE (1990) Earthquake locations by 3-D finite-difference travel times. Bull Seismol Soc Am 80(2):395–410
Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7(4):308–313
Jordanov I, Georgieva A (2007) Neural network learning with global heuristic search. IEEE Trans Neural Netw 18(3):937–942
Levenberg K (1944) A method for the solution of certain problems in least squares. Q Appl Math 2:164–168
Marquardt DW (1963) An algorithm for least-squares estimation of nonlinear parameters. J Soc Ind Appl Math 11(2):431–441
Li X-B, Dong L-J, Gong F-Q, Zhou Z-L A location method for acoustic emission and microseismic sources. China Patent CN102129063B
Dong L-J, Li X-B, Tang L-Z, Gong F-Q (2011) Mathematical functions and parameters for microseismic source location without pre-measuring speed. Chin J Rock Mech Eng 30(10):2057–2067
Dong L-J, Li X-B, Tang L-Z (2013) Main influencing factors of microseismic source location accuracy. Sci Technol Rev 31(24):26–32
Dong L-J, Li X-B (2013) A microseismic/acoustic emission source location method using arrival times of PS waves for unknown velocity system. Int J Distrib Sens N. https://doi.org/Artn30748910.1155/2013/307489
Dong L-J, Sun D-Y, Li X-B, Du K (2017) Theoretical and experimental studies of localization methodology for AE and microseismic sources without pre-measured wave velocity in mines. IEEE Access 5:16818–16828. https://doi.org/10.1109/Access.2017.2743115
Brandstein MS, Adcock JE, Silverman HF (1997) A closed-form location estimator for use with room environment microphone arrays. IEEE Trans Speech Audio Process 5(1):45–50
Flanagan MP, Myers SC, Koper KD (2007) Regional travel-time uncertainty and seismic location improvement using a three-dimensional a priori velocity model. Bull Seismol Soc Am 97(3):804–825
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Dong, L., Li, X. (2023). Iterative Method for Velocity-Free Model. In: Velocity-Free Localization Methodology for Acoustic and Microseismic Sources. Springer, Singapore. https://doi.org/10.1007/978-981-19-8610-9_5
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DOI: https://doi.org/10.1007/978-981-19-8610-9_5
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