{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T12:25:03Z","timestamp":1764937503233,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,12,31]],"date-time":"2022-12-31T00:00:00Z","timestamp":1672444800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002367","name":"Strategic Priority Research Program of the Chinese Academy of Sciences","doi-asserted-by":"publisher","award":["XDA14050100","Z181100005718001","ZDZBGCH2018006"],"award-info":[{"award-number":["XDA14050100","Z181100005718001","ZDZBGCH2018006"]}],"id":[{"id":"10.13039\/501100002367","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Beijing Science and Technology Plan \u201cDeep Earth Exploration Technology Breakthrough\u201d special project of China","award":["XDA14050100","Z181100005718001","ZDZBGCH2018006"],"award-info":[{"award-number":["XDA14050100","Z181100005718001","ZDZBGCH2018006"]}]},{"name":"Scientific Instrument Developing Project of the Chinese Academy of Sciences","award":["XDA14050100","Z181100005718001","ZDZBGCH2018006"],"award-info":[{"award-number":["XDA14050100","Z181100005718001","ZDZBGCH2018006"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Airborne transient electromagnetic (ATEM) technology is a technique often used in mineral exploration and geological mapping. Due to inductive polarization (IP) phenomena, the ATEM response curve often shows a negative response or declines rapidly to the attenuation curve. Traditional resistivity inversion techniques do not explain the IP response of a signal well, so the negative response is usually removed during data processing, resulting in a reduced correctness and authenticity of the findings. In this paper, in the parameter inversion based on the Cole\u2013Cole model, the Jacobian matrix chain analysis method is used to calculate, and the current waveform calculation is also considered in the inversion. The results show that compared with the perturbation method, the analysis technique can greatly reduce the calculation time and improve the inversion efficiency. In the single-point one-dimensional inversion and lateral constraint quasi-two-dimensional inversion, the Cole\u2013Cole four-parameter forward response has strong inversion accuracy, which can successfully invert the actual exploration content and the Cole\u2013Cole four-parameter response. Some measured sounding data in the Qingchengzi survey area of Liaoning Province, China have a negative response to IP, and the resistivity scheme cannot be used alone for inversion, but the real underground resistivity structure can be obtained through the method studied in this paper, and good exploration results can be obtained.<\/jats:p>","DOI":"10.3390\/s23010439","type":"journal-article","created":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T03:08:59Z","timestamp":1672628939000},"page":"439","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Computation of Analytical Derivatives for Airborne TEM Inversion Using a Cole\u2013Cole Parameterization Based on the Current Waveform of the Transmitter"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9687-894X","authenticated-orcid":false,"given":"Da","family":"Lei","sequence":"first","affiliation":[{"name":"CAS Engineering Laboratory for Deep Resources Equipment and Technology, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China"},{"name":"Innovation Academy for Earth Science, CAS, Beijing 100029, China"},{"name":"College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"given":"Hao","family":"Ren","sequence":"additional","affiliation":[{"name":"College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0368-0238","authenticated-orcid":false,"given":"Changmin","family":"Fu","sequence":"additional","affiliation":[{"name":"CAS Engineering Laboratory for Deep Resources Equipment and Technology, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China"},{"name":"Innovation Academy for Earth Science, CAS, Beijing 100029, China"},{"name":"College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"given":"Zhongxing","family":"Wang","sequence":"additional","affiliation":[{"name":"CAS Engineering Laboratory for Deep Resources Equipment and Technology, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China"},{"name":"Innovation Academy for Earth Science, CAS, Beijing 100029, China"},{"name":"College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3708-7288","authenticated-orcid":false,"given":"Qihui","family":"Zhen","sequence":"additional","affiliation":[{"name":"CAS Engineering Laboratory for Deep Resources Equipment and Technology, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China"},{"name":"Innovation Academy for Earth Science, CAS, Beijing 100029, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,31]]},"reference":[{"key":"ref_1","first-page":"2637","article-title":"Review on airborne EM technology and developments","volume":"58","author":"Yin","year":"2015","journal-title":"Chin. 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