{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T19:21:58Z","timestamp":1768677718439,"version":"3.49.0"},"reference-count":38,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,9,15]],"date-time":"2018-09-15T00:00:00Z","timestamp":1536969600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2016YFC0600505"],"award-info":[{"award-number":["2016YFC0600505"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41574109 & 41504085"],"award-info":[{"award-number":["41574109 & 41504085"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Xiuyan Jade, produced in Xiuyan County, Liaoning Province, China is one of the four famous jade in China. King Jade, which is deemed the largest jade body of the world, was broken out from a hill. The local government planned to build a tourism site based on the jade culture there. The purpose of the investigation was to evaluate the stability of subsurface foundation, and the possible positions of mined-out zones to prevent the further rolling of the jade body. Cross-hole radar tomography is the key technique in the investigation. Conventional travel time and attenuation tomography based on ray tracing theory cannot provide high-resolution images because only a fraction of the measured information is used in the inversion. Full-waveform inversion (FWI) can provide high-resolution permittivity and conductivity images because it utilizes all the information provided by the radar signals. We deduce the gradient expression of the time-domain FWI with respect to the permittivity and conductivity using a method that is different from that of the previous work and realize the FWI algorithm that can simultaneously update the permittivity and conductivity by using the conjugate gradient method. Inverted results from synthetic data show that time-domain FWI can significantly improve the resolution compared with the ray-based tomogram methods. FWI can distinguish targets that are as small as one-half to one-third wavelength and the inverted physical values are closer to the real ones than those provided by the ray tracing method. We use the FWI algorithm to the field data measured at Xiuyan jade mine. Both the inverted permittivity and conductivity can comparably delineate four mined-out zones, which exhibit low-permittivity and low-conductivity characteristics. Furthermore, the locations of the interpreted mined-out zones are in good agreement with the existing mining channels recorded by geological data.<\/jats:p>","DOI":"10.3390\/s18093114","type":"journal-article","created":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T10:42:20Z","timestamp":1537180940000},"page":"3114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Application of Time-Domain Full Waveform Inversion to Cross-Hole Radar Data Measured at Xiuyan Jade Mine, China"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6660-6780","authenticated-orcid":false,"given":"Sixin","family":"Liu","sequence":"first","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xintong","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xu","family":"Meng","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Fu","sequence":"additional","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qi","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Deng","sequence":"additional","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,9,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Daniels, D.J. (2004). Ground Penetrating Radar, The Institution of Engineering and Technology. [2nd ed.].","DOI":"10.1049\/PBRA015E"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1111\/j.1365-2478.1992.tb00367.x","article-title":"Borehole radar applied to the characterization of hydraulically conductive fracture-zones in crystalline rock","volume":"40","author":"Olsson","year":"1992","journal-title":"Geophys. Prospect."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1920","DOI":"10.1190\/1.1444876","article-title":"Radio tomography and borehole radar delineation of the McConnell nickel sulfide deposit, Sudbury, Ontario, Canada","volume":"65","author":"Fullagar","year":"2000","journal-title":"Geophysics"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"K39","DOI":"10.1190\/1.2049349","article-title":"Effect of antennas on velocity estimates obtained from crosshole GPR data","volume":"70","author":"Irving","year":"2005","journal-title":"Geophysics"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"229","DOI":"10.2113\/JEEG19.4.229","article-title":"Crosshole radar traveltime tomographic inversion using the fast marching method and the iteratively linearized scheme","volume":"19","author":"Wang","year":"2014","journal-title":"J. Environ. Eng. Geophys."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1109\/TGRS.2003.817215","article-title":"Subsurface cavity imaging by crosshole borehole radar measurements","volume":"42","author":"Zhou","year":"2004","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1190\/1.1443457","article-title":"Resolution limits in ray tomography due to wave behavior\u2014Numerical experiments","volume":"58","author":"Williamson","year":"1993","journal-title":"Geophysics"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1190\/1.1441754","article-title":"Inversion of seismic-reflection data in the acoustic approximation","volume":"49","author":"Tarantola","year":"1984","journal-title":"Geophysics"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"998","DOI":"10.1111\/j.1365-2478.1984.tb00751.x","article-title":"Linearized inversion of seismic reflection data","volume":"32","author":"Tarantola","year":"1984","journal-title":"Geophys. Prospect."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1190\/1.1442046","article-title":"A strategy for nonlinear elastic inversion of seismic reflection data","volume":"51","author":"Tarantola","year":"1986","journal-title":"Geophysics"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1046\/j.1365-246X.1998.00498.x","article-title":"Gauss-Newton and full Newton methods in frequency domain seismic waveform inversion","volume":"133","author":"Pratt","year":"1998","journal-title":"Geophys. J. Int."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"888","DOI":"10.1190\/1.1444597","article-title":"Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model","volume":"64","author":"Pratt","year":"1999","journal-title":"Geophysics"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1190\/1.1444598","article-title":"Seismic waveform inversion in the frequency domain, Part 2: Fault delineation in sediments using crosshole data","volume":"64","author":"Pratt","year":"1999","journal-title":"Geophysics"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Kuroda, S., Takeuchi, M., and Kim, H.J. (2005, January 6\u201311). Full waveform inversion algorithm for interpreting cross-borehole GPR data. Proceedings of the 2005 SEG Annual Meeting, Houston, TX, USA.","DOI":"10.1190\/1.2147892"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"J53","DOI":"10.1190\/1.2761848","article-title":"Application of a new 2D time-domain full-waveform inversion scheme to crosshole radar data","volume":"72","author":"Ernst","year":"2007","journal-title":"Geophysics"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2807","DOI":"10.1109\/TGRS.2007.901048","article-title":"Full-waveform inversion of crosshole radar data based on 2-D finite-difference time-domain solutions of maxwell\u2019s equations","volume":"45","author":"Ernst","year":"2007","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"3391","DOI":"10.1109\/TGRS.2010.2046670","article-title":"A new vector waveform inversion algorithm for simultaneous updating of conductivity and permittivity parameters from combination crosshole\/borehole-to-surface GPR data","volume":"48","author":"Meles","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"4610","DOI":"10.1109\/TGRS.2012.2194154","article-title":"Waveform inversion of crosshole georadar data: Influence of source wavelet variability and the suitability of a single wavelet assumption","volume":"50","author":"Belina","year":"2012","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_19","first-page":"1623","article-title":"Study of cross-hole radar tomography using full-waveform inversion","volume":"57","author":"Wu","year":"2014","journal-title":"Chin. J. Geophys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"635","DOI":"10.3997\/1873-0604.2010054","article-title":"Full-waveform inversion of crosshole ground-penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland","volume":"8","author":"Klotzsche","year":"2010","journal-title":"Near Surf. Geophys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"H57","DOI":"10.1190\/geo2011-0458.1","article-title":"Crosshole GPR full-waveform inversion of waveguides acting as preferential flow paths within aquifer systems","volume":"77","author":"Klotzsche","year":"2012","journal-title":"Geophysics"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1093\/gji\/ggt275","article-title":"3-D characterization of high-permeability zones in a gravel aquifer using 2-D crosshole GPR full-waveform inversion and waveguide detection","volume":"195","author":"Klotzsche","year":"2013","journal-title":"Geophys. J. Int."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"6966","DOI":"10.1002\/2013WR015177","article-title":"Detection of spatially limited high-porosity layers using crosshole GPR signal analysis and full-waveform inversion","volume":"50","author":"Klotzsche","year":"2014","journal-title":"Water Resour. Res."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.jappgeo.2013.08.007","article-title":"Improvements in crosshole GPR full-waveform inversion and application on data measured at the Boise Hydrogeophysics Research Site","volume":"99","author":"Yang","year":"2013","journal-title":"J. Appl. Geophys."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"197","DOI":"10.3997\/1873-0604.2012045","article-title":"Optimization of acquisition setup for cross-hole GPR full-waveform inversion using checkerboard analysis","volume":"11","author":"Klotzsche","year":"2013","journal-title":"Near Surf. Geophys."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"680","DOI":"10.1016\/j.jhydrol.2015.03.030","article-title":"Imaging and characterization of facies heterogeneity in an alluvial aquifer using GPR full-waveform inversion and cone penetration tests","volume":"524","author":"Gueting","year":"2015","journal-title":"J. Hydrol."},{"key":"ref_27","unstructured":"Taflove, A., and Hagness, S.C. (2000). Computational Electrodynamics: The Finite-Difference Time-Domain Method, The Artech House Antennas and Propagation Library. [2nd ed.]."},{"key":"ref_28","unstructured":"Sumner, F.H. (1985). Introduction to Non-linear Optimization Springer-Verlag. Macmillan Computer Science Series, Macmillan Publishers Ltd."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1190\/1.1442836","article-title":"Nonlinear inversion of seismic reflection data in a laterally invariant medium","volume":"55","author":"Pica","year":"1990","journal-title":"Geophysics"},{"key":"ref_30","unstructured":"Tukey, J.W. (1977). Exploratory Data Analysis, Addison Wesley."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/S0926-9851(98)00024-X","article-title":"Radar attenuation tomography using the centroid frequency downshift method","volume":"40","author":"Liu","year":"1998","journal-title":"J. Appl. Geophys."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1190\/1.1442237","article-title":"Diffraction tomography and multisource holography applied to seismic imaging","volume":"52","author":"Wu","year":"1987","journal-title":"Geophysics"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"694","DOI":"10.1190\/1.1443627","article-title":"Diffraction tomography for crosswell imaging of nearly layered media","volume":"59","author":"Dickens","year":"1994","journal-title":"Geophysics"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1088\/1742-2132\/9\/2\/201","article-title":"The experimental results and analysis of a borehole radar prototype","volume":"9","author":"Liu","year":"2012","journal-title":"J. Geophys. Eng."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1046\/j.1365-246X.1999.00876.x","article-title":"Geophysical inversion with a neighbourhood algorithm\u2014I. Searching a parameter space","volume":"138","author":"Sambridge","year":"1999","journal-title":"Geophys. J. Int."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1046\/j.1365-246x.1999.00900.x","article-title":"Geophysical inversion with a neighbourhood algorithm\u2014II. Appraising the ensemble","volume":"138","author":"Sambridge","year":"1999","journal-title":"Geophys. J. Int."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1088\/0266-5611\/17\/3\/302","article-title":"Finding acceptable models in nonlinear inverse problems using a neighbourhood algorithm","volume":"17","author":"Sambridge","year":"2001","journal-title":"Inverse Probl."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1029\/2000RG000089","article-title":"Monte Carlo Methods in Geophysical Inverse Problems","volume":"40","author":"Sambridge","year":"2002","journal-title":"Rev. Geophys."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/9\/3114\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:20:43Z","timestamp":1760196043000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/9\/3114"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,15]]},"references-count":38,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2018,9]]}},"alternative-id":["s18093114"],"URL":"https:\/\/doi.org\/10.3390\/s18093114","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9,15]]}}}