Abstract
The mining subsidence in mining area could cause large-gradient deformation in a short period of time. When the deformation gradient exceeds the threshold value of the Differential Interferometry Synthetic Aperture Radar (D-InSAR) technology monitoring gradient, D-InSAR technology is likely to cause the failure of InSAR phase unwrapping algorithm. At this time, the InSAR technology is unable to monitor the 3D surface deformation. Aiming at these problems, an dynamic probability integral method (DPIM)-based InSAR phase unwrapping model and a method of extracting 3D surface deformation were proposed. The phase unwrapping model firstly used the empirical parameters of the probability integral of the mining face to predict the line of sight (LOS) direction deformation phase of the mining subsidence surface. Secondly, the phase of differential interferogram was unwrapped with the assist of the predicted LOS deformation phase under the constraint of DPIM, and the true LOS deformation phase was obtained, then the true LOS deformation phase transformed into LOS deformation. Finally, according to the geometric projection relationship between the LOS deformation and 3D deformation of mining subsidence surface, the probability integral prior model was brought into the equation of the geometric projection relationship. On the basis of relevant boundary conditions, the 3D surface deformation was extracted from the LOS direction deformation field of mining subsidence. The feasibility of the method was verified by the simulation experiment results. The differential interferogram of the subsidence basin was obtained by the differential interference processing of image data of Sentinel-1A on Nov. 16, 2017 and Dec. 10, 2017 of 1613 working face of Guqiao South Mine. By using the DPIM-based phase unwrapping model, the phase of differential interferogram was unwrapped and the 3D surface deformation during this period as well as the deformation extraction method were developed. The results showed that the maximum fitting error value of subsidence was 79 mm, about 8.33% of the maximum value of subsidence, and the fitting error of mean square of subsidence was ±33.5 mm. The results showed that the DPIM-based phase unwrapping model and the method of extracting 3D surface deformation proposed in this paper have certain engineering application values.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Carnec C, Massonnet D, King C (1996) Two examples of the use of sar interferometry on displacement fields of small spatial extent. Geophysical Research Letters 23(24):3579–3582, DOI: https://doi.org/10.1029/96GL03042
Chaussard E, Amelung F, Abidin H, Hong SH (2013) Sinking cities in Indonesia: ALOS PALSAR detects rapid subsidence due to groundwater and gas extraction. Remote Sensing of Environment 128:150–161, DOI: https://doi.org/10.1016/j.rse.2012.10.015
Diao XP, Wu K, Xu YK, Zhou DW, Chen RL (2018) Prediction-based phase unwrapping for differential interferograms of coal mining areas using a stochastic medium model. Remote Sensing Letters 9(5):478–487, DOI: https://doi.org/10.1080/2150704X.2018.1441561
Fan HD, Cheng D, Deng KZ, Chen BQ, Zhu CG (2015a) Subsidence monitoring using D-InSAR and probability integral prediction modelling in deep mining areas. Survey Review 47(345):438–445, DOI: https://doi.org/10.1179/1752270614Y.0000000153
Fan HD, Gao XX, Yang JK, Deng KZ, Yang Y (2015b) Monitoring mining subsidence using a combination of phase-stacking and offset-tracking methods. Remote Sensing 7(7):9166–9183, DOI: https://doi.org/10.3390/rs70709166
Ferretti A, Rocca F, Prati C (2000) Nonlinear subsidence rate estimation using permanent scatterers in differential SAR interferometry. IEEE Transactions on Geoscience and Remote Sensing 38(5):2202–2212, DOI: https://doi.org/10.1109/36.868878
Guo XW, Yang XQ, Chai SW (2020) Optimization of the segmented Knothe function and its dynamic parameter calculation. Rock and Soil Mechanics 41(06):2091–2097+2109, DOI: https://doi.org/10.16285/j.rsm.2019.1567 (in Chinese)
He GQ, Yang L, Ling GD, Jia FC, Hong D (1991) Mining subsidence science. China University of Mining and Technology Press, Xuzhou, China, 27–37
He LM, Wu LX, Liu SJ, Wang Z, Su C, Liu SN (2015) Mapping two-dimensional deformation field time-series of large slope by coupling DInSAR-SBAS with MAI-SBAS. Remote Sensing 7(9):12440–12458, DOI: https://doi.org/10.3390/rs70912440
Huang JL, Deng KZ, Fan HD, Lei SG, Yan SY, Wang L (2017) An improved adaptive template size pixel-tracking method for monitoring large-gradient mining subsidence. Journal of Sensors 2017:1–11, DOI: https://doi.org/10.1155/2017/3059159
Huang JL, Deng KZ, Fan HD, Yan SY (2016) An improved pixel-tracking method for monitoring mining subsidence. Remote Sensing Letters 7(8):731–740, DOI: https://doi.org/10.1080/2150704X.2016.1183177
Kratzsch H (1983) Mining subsidence engineering. Springer-Verlag, Berlin, Germany
Li ZW, Yang ZF, Zhu JJ, Hu J, Wang YJ, Li PX, Chen GL (2014) Retrieving three-dimensional displacement fields of mining areas from a single InSAR pair. Journal of Geodesy 89(1)1:17–32, DOI: https://doi.org/10.1007/s00190-014-0757-1
Massonnet D, Feigl K, Rossi M, Adragna F (1994) Radar interferometric mapping of deformation in the year after the Landers earthquake. Nature 369(6477):227–230, DOI: https://doi.org/10.1038/369227a0
Michel R, Avouacjp JP, Taboury J (1999) Measuring ground displacements from SAR amplitude images: Application to the landers earthquake. Geophysical Research Letters 26(7):875–878
Samsonov S, Oreye ND, Smets B (2013) Ground deformation associated with post-mining activity at the French-German border revealed by novel InSAR time series method. International Journal of Applied Earth Observation and Geoinformation 23:142–154, DOI: https://doi.org/10.1016/j.jag.2012.12.008
Sigurjón J, Zebker H, Cervelli P, Segall P, Garbeil H, Mouginis MP, Rowland S (1999) A shallow-dipping dike fed the 1995 flank eruption at Fernandina Volcano, Galápagos, observed by satellite radar interferometry. Geophysical Research Letters 26(8):1077–1080, DOI: https://doi.org/10.1029/1999gl900108
Wang L, Jiang C, Zhang XN, Zha JF (2019) Monitoring method of surface subsidence induced by inclined coal seam mining based on single line of sight D-InSAR. Geomatics and Information Science of Wuhan University 44(6):814–820, DOI: https://doi.org/10.13203/j.whugis20170300 (in Chinese)
Wang L, Zhang XN, Chi SS, Zha JF (2018) Parameter inversion model for mining subsidence prediction based on fusion of InSAR and GA. Geomatics and Information Science of Wuhan University 43(11):1635–1641, DOI: https://doi.org/10.13203/j.whugis20170088 (in Chinese)
Whittaker BN, Reddish DJ (1989) Subsidence: Occurrence, prediction, and control. Elsevier, Amsterdam, The Netherlands, DOI: https://doi.org/10.1016/0148-9062(90)95372-8
Wu K, Ge JX, Wang LD, Zhou M (1998) Integration methods of mining subsidence prediction. China University of Mining and Technology Press, Xuzhou, China, 28–39
Yang ZF, Li ZW, Zhu JJ, Axel P, Yi HW, Hu J, Feng GC, Markus P (2017a) Retrieving 3-D large displacements of mining areas from a single amplitude pair of SAR using offset tracking. Remote Sensing 9(4):338, DOI: https://doi.org/10.3390/rs9040338
Yang ZF, Li ZW, Zhu JJ, Feng GC, Wang QJ, Hu J, Wang CC (2018) Deriving time-series three-dimensional displacements of mining areas from a single-geometry InSAR dataset. Journal of Geodesy 92:529–544, DOI: https://doi.org/10.1007/s00190-017-1079-x
Yang ZF, Li ZW, Zhu JJ, Hu J, Wang YJ, Chen GL (2016) InSAR-based model parameter estimation of probability integral method and its application for predicting mining-induced horizontal and vertical displacements. IEEE Transactions on Geoscience and Remote Sensing 54(8):4818–4832, DOI: https://doi.org/10.1109/tgrs.2016.2551779
Yang ZF, Li ZW, Zhu JJ, Preusse A, Yi HW, Wang YJ, Papst M (2017b) An extension of the InSAR-based probability integral method and its application for predicting 3-D mining-induced displacements under different extraction conditions. IEEE Transactions on Geoscience and Remote Sensing 55(7):3835–3845
Zebker HA, Villasenor J (1992) Decorrelation in interferometric radar echoes. IEEE Transactions on Geoscience and Remote Sensing 30(5):950–959, DOI: https://doi.org/10.1109/36.175330
Zhao CY, Lu Z, Zhang Q (2013) Time-series deformation monitoring over mining regions with SAR intensity-based offset measurements. Remote Sensing Letters 4(5):436–445, DOI: https://doi.org/10.1080/2150704X.2012.746482
Zhu JJ, Yang ZF, Li ZW (2019) Recent progress in retrieving and predicting mining-induced 3D displacements using InSAR. Acta Geodaetica et Cartographica Sinica 48(2):135–144, DOI: https://doi.org/10.11947/j.AGCS.2019.20180188 (in Chinese)
Acknowledgments
The authors thank the European Space Agency (ESA) for providing the radar images data of Sentinel-1. The authors thanks to reviewers for spending a lot of time reviewing manuscripts. The work was supported by the National Natural Science Foundation of China [Grant numbers 52074010, 41602357, 41474026, 51904008].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jiang, C., Wang, L., Yu, X. et al. DPIM-Based InSAR Phase Unwrapping Model and a 3D Mining-Induced Surface Deformation Extracting Method: A Case of Huainan Mining Area. KSCE J Civ Eng 25, 654–668 (2021). https://doi.org/10.1007/s12205-020-5288-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-020-5288-0