{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T11:25:51Z","timestamp":1772969151218,"version":"3.50.1"},"reference-count":47,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,2,23]],"date-time":"2022-02-23T00:00:00Z","timestamp":1645574400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004731","name":"Zhejiang Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["LY22F010011"],"award-info":[{"award-number":["LY22F010011"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Research and Development Program of Zhejiang Province, China","award":["2018C03040"],"award-info":[{"award-number":["2018C03040"]}]},{"name":"Key Research and Development Program of Zhejiang Province, China","award":["2021C03016"],"award-info":[{"award-number":["2021C03016"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61701467"],"award-info":[{"award-number":["61701467"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52077203"],"award-info":[{"award-number":["52077203"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Landslide is a very common and destructive geo-hazard, and displacement monitoring of it is integral for risk assessment and engineering prevention. Given the shortcomings of current landslide displacement monitor technologies, a new three-dimensional underground displacement monitoring technology is proposed based on the double mutual inductance voltage contour method. The underground displacement measuring device mainly consists of an information processing unit and sensing array, connected by power and RS-485 communication lines. An underground displacement measurement model to convert the double mutual inductance voltages and the inter-axis angle into the relative displacement between adjacent sensing units is established based on the interval-interpolation and contour-modeling. Under the control of the information processing unit, the relative displacement between any two adjacent sensing units can be calculated through the underground displacement measurement model, so as to obtain the total displacement from underground depth to surface, and the measurement data can be further sent to the Internet of things cloud platform through the 4G module; thus the remote real-time monitoring of underground displacement three-dimensional measurement for the rock and soil mass from underground depth to the surface is realized. The measurement model is verified by building an experimental platform to simulate the underground displacement of rock and soil mass. The experimental results show that for each measuring unit, when the horizontal displacement and vertical displacement are within the measurement range of 0\u201350 mm, the maximum measurement error will not exceed 1 mm, which can meet the accuracy requirements of underground displacement monitoring of landslide.<\/jats:p>","DOI":"10.3390\/s22051725","type":"journal-article","created":{"date-parts":[[2022,2,24]],"date-time":"2022-02-24T00:53:26Z","timestamp":1645664006000},"page":"1725","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Three-Dimensional Measuring Device and Method of Underground Displacement Based on Double Mutual Inductance Voltage Contour Method"],"prefix":"10.3390","volume":"22","author":[{"given":"Nanying","family":"Shentu","sequence":"first","affiliation":[{"name":"College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310018, China"}]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310018, China"}]},{"given":"Qing","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310018, China"}]},{"given":"Guohua","family":"Qiu","sequence":"additional","affiliation":[{"name":"College of Information Engineering, China Jiliang University, Hangzhou 310018, China"}]},{"given":"Renyuan","family":"Tong","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310018, China"}]},{"given":"Siguang","family":"An","sequence":"additional","affiliation":[{"name":"College of Information Engineering, China Jiliang University, Hangzhou 310018, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Wu, Y., Niu, R., Wang, Y., and Chen, T. 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