{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:11:17Z","timestamp":1760145077802,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T00:00:00Z","timestamp":1718668800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["41874211","ZDJ2017-26"],"award-info":[{"award-number":["41874211","ZDJ2017-26"]}]},{"name":"Institute of Crustal Dynamics, CEA, Basic scientific Special Fund","award":["41874211","ZDJ2017-26"],"award-info":[{"award-number":["41874211","ZDJ2017-26"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Borehole strain gauges play a crucial role in geophysical, seismological, and crustal dynamics studies. While existing borehole strain gauges are proficient in measuring horizontal strains within vertical boreholes, their effectiveness in capturing vertical and oblique strains is limited due to technical constraints arising from the cylindrical probe\u2019s characteristics. However, the accurate measurement of three-dimensional strain is essential for a comprehensive understanding of crustal tectonics, dynamics, and geophysics, particularly considering the diverse geological structures and force sources within the crustal medium. In this study, we present a novel approach to address this challenge by enhancing an existing horizontal-component borehole strain gauge with a bellows structure and line strain measurement technology to enable vertical and borehole oblique strain measurements. Integrating these enhancements with horizontal strain measurement capabilities enables comprehensive three-dimensional borehole strain measurements within the same hole section. The system was deployed and tested at the Gongxian seismic station in Sichuan Province. Clear observations of solid tides were recorded across horizontal, oblique, and vertical measurement units, with the tidal morphology and amplitude being consistent with the theoretical calculations. The achieved measurement sensitivity of 10-10 meets the requirements for borehole strain measurement, enabling the characterization of three-dimensional strain states within boreholes through association methods.<\/jats:p>","DOI":"10.3390\/s24123954","type":"journal-article","created":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T08:06:06Z","timestamp":1718784366000},"page":"3954","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Research on the RZB-Type Three-Dimensional Drilling Strain Measurement System"],"prefix":"10.3390","volume":"24","author":[{"given":"Zheng","family":"Chen","sequence":"first","affiliation":[{"name":"National Institute of Natural Hazards, Beijing 100085, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong","family":"Li","sequence":"additional","affiliation":[{"name":"National Institute of Natural Hazards, Beijing 100085, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunkai","family":"Dong","sequence":"additional","affiliation":[{"name":"National Institute of Natural Hazards, Beijing 100085, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenbo","family":"Wang","sequence":"additional","affiliation":[{"name":"National Institute of Natural Hazards, Beijing 100085, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liheng","family":"Wu","sequence":"additional","affiliation":[{"name":"National Institute of Natural Hazards, Beijing 100085, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiwei","family":"Zhan","sequence":"additional","affiliation":[{"name":"National Institute of Natural Hazards, Beijing 100085, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,18]]},"reference":[{"key":"ref_1","first-page":"677","article-title":"Application of the RZB borehole strainmeter in crustal stress observation at the eastern margin of the Tibet plateau","volume":"47","author":"Li","year":"2011","journal-title":"Acta Sci. Nat. Univ. Pekin."},{"key":"ref_2","first-page":"224","article-title":"A shallow-hole mounted YRY-2 borehole strain gauge was observed at eight stations in North China","volume":"15","author":"Chi","year":"1993","journal-title":"Acta Seismol. Sin."},{"key":"ref_3","first-page":"7","article-title":"New Era of Borehole Strain Observation","volume":"1","author":"Qiu","year":"2004","journal-title":"Recent Dev. World Seismol."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Xiong, Y.Z., Li, H., Wu, L.H., Li, T., Chen, Z., and Yu, J.J. (2016, January 25\u201326). Application of RZB Borehole Strainmeter in Crustal Stress Monitoring. Proceedings of the International Congress on Computation Algorithms in Engineering (ICCAE), Bangkok, Thailand.","DOI":"10.12783\/dtcse\/iccae2016\/7170"},{"key":"ref_5","unstructured":"Su, K., Li, H., Zhang, J., Li, X., and Ma, X. (2004). New Advances in Drill Site Strain Measurement, Seismological Press. (In Chinese)."},{"key":"ref_6","unstructured":"Chen, D., Su, K., and Geng, S. (1995). Seismic Topographic Observation Technology, Seismological Press. (In Chinese)."},{"key":"ref_7","unstructured":"Evertson, D.W. (1977). Borehole Strainmeters for Seismology, Applied Research Lab, University of Texas. Rep. ARL-TR-77-62."},{"key":"ref_8","unstructured":"Tang, L., Qiu, Z., Li, Y., Li, Y., and Fan, J. (2023). Determination and analysis of near-surface stress-strain state of 4-component borehole strainmeter. Geomat. Inf. Sci. Wuhan Univ."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1038\/341291a0","article-title":"Global patterns of tectonic stress","volume":"341","author":"Zoback","year":"1989","journal-title":"Nature"},{"key":"ref_10","first-page":"1135","article-title":"North China Craton destruction","volume":"42","author":"Zhu","year":"2012","journal-title":"Chin. Sci. Earth Sci."},{"key":"ref_11","first-page":"2729","article-title":"Interseismic deformation across the Longmenshan Fracture zone before the 2008 Wenchuan M8.0 earthquake","volume":"52","author":"Du","year":"2009","journal-title":"Chin. J. Geophys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1007\/s11434-009-0453-3","article-title":"The maximum surface co seismic vertical displacement and surface deformation pattern of the Wenchuan MS8 earthquake","volume":"55","author":"Ran","year":"2010","journal-title":"Chin. Sci. Bull."},{"key":"ref_13","first-page":"1798","article-title":"A research on the distribution of deformation fields near the fault of 2008 Wenchuan Earthquake","volume":"54","author":"Bai","year":"2011","journal-title":"Chin. J. Geophys."},{"key":"ref_14","first-page":"1195","article-title":"Coseismic displacement field of the 2008 Wenchuan Ms8.0 earthquake measured by GPS","volume":"54","author":"Zhang","year":"2008","journal-title":"Sci. China Ser. D Earth Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3713","DOI":"10.1007\/s00024-022-03162-1","article-title":"Tectonic Stress Redistribution Induced by Geothermal Gradient Difference: Numerical Modeling of Stress Around the Anninghe Seismic Gap in the Southeastern Tibetan Plateau","volume":"179","author":"Xu","year":"2022","journal-title":"Pure Appl. Geophys."},{"key":"ref_16","first-page":"5","article-title":"Development of new multi-component borehole instrument","volume":"6","author":"Ishii","year":"2001","journal-title":"Rep. Tono Res. Inst. Earthq. Sci."},{"key":"ref_17","first-page":"4425","article-title":"Two Different Layouts of Sensors of Four-gauge Borehole Strainmeter and Their Influence on Field Measurement","volume":"34","author":"Tang","year":"2022","journal-title":"Sens. Mater."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Chen, Z., Li, T., Ouyang, Z., Wu, L., Li, Y., and Ning, J. (2010, January 25\u201327). Three-dimensional measurement of a deep-seated RZB-type integrated wideband deformation observing system. Rock Stress and Earthquakes. Proceedings of the Fifth International Symposium on In-Situ Rock Stress, Beijing, China.","DOI":"10.1201\/9780415601658-148"},{"key":"ref_19","first-page":"126","article-title":"The Vertical Strain Probe of RZB Deep-wideband Integrated Observing System","volume":"9","author":"Chen","year":"2014","journal-title":"Technol. Earthq. Disaster Prev."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"818","DOI":"10.1002\/cjg2.20145","article-title":"Analysis of 4-Component Borehole Strain Observation Based on Strain Invariant","volume":"57","author":"Liu","year":"2014","journal-title":"Chin. J. Geophys."},{"key":"ref_21","first-page":"1525","article-title":"Discussion on solving the strain transfer coefficient of crustal rocks based on the double liner theory","volume":"32","author":"Zhang","year":"2017","journal-title":"Prog. Geophys."},{"key":"ref_22","unstructured":"Qiu, Z. (2017). Theory and Application of Borehole Strain Observation, Seismological Press."},{"key":"ref_23","unstructured":"Institute of Geology and Mechanics, Chinese Academy of Geological Sciences (1981). The Principle and Application of In-Situ Stress Measurement, Geological Publishing House."},{"key":"ref_24","unstructured":"Su, K. (1985). Ground Stress Measurement Methods, Seismological Press."},{"key":"ref_25","unstructured":"Ouyang, Z., Li, B., Jiang, W., and Zhang, Z. (1988). A Drilling Type In-Situ Stress Field Measurement System, Seismological Press. (In Chinese)."},{"key":"ref_26","first-page":"9","article-title":"Capacitance micrometer\u2014Its features and applications","volume":"6","author":"Ouyang","year":"1975","journal-title":"Electr. Meas. Instrum."},{"key":"ref_27","first-page":"1","article-title":"New progress in multi-component observation of crustal deformation in deep boreholes","volume":"11","author":"Ouyang","year":"2009","journal-title":"Recent Dev. World Seismol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2011","DOI":"10.1063\/1.1137704","article-title":"High-precision multicomponent borehole deformation monitoring","volume":"55","author":"Gladwin","year":"1984","journal-title":"Rev. Sci. Instrum."},{"key":"ref_29","first-page":"129","article-title":"Application of capacitive tilt sensor in crustal deformation measurement","volume":"29","author":"Wu","year":"2010","journal-title":"Transducer Microsyst. Technol."},{"key":"ref_30","first-page":"5350","article-title":"Utilisation de capteurs capacitifs aux extensometres horizontaux","volume":"84","author":"Ruymbeke","year":"1980","journal-title":"Marees Terrestres Bull. d\u2019Inform."},{"key":"ref_31","first-page":"437","article-title":"In-Situ Linear Calibration Technique of the RZB-Type Borehole Strain Meter: Including a Laboratory Experiment","volume":"38","author":"Wu","year":"2018","journal-title":"J. Geod. Geodyn."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1109\/49.761034","article-title":"Analog-to-digital converter survey and analysis","volume":"17","author":"Walden","year":"1999","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"410","DOI":"10.1109\/PROC.1981.11986","article-title":"A survey of digital phase-locked loops","volume":"69","author":"Lindsey","year":"1981","journal-title":"Proc. IEEE"},{"key":"ref_34","unstructured":"Dorrington, A.A., and Kunnemeyer, R. (2002, January 29\u201331). A Simple Microcontroller Based Digital Lock-in Amplifier for the Detection of Low Level Optical Signals. Proceedings of the 1st IEEE International Workshop on Electronic Design, Test and Applications, Christchurch, New Zealand."},{"key":"ref_35","first-page":"529","article-title":"Research on Weak Signal Detecting Circuit with Lock-in Amplifier","volume":"37","author":"Yang","year":"2015","journal-title":"Piezoelectrics Acoustooptics"},{"key":"ref_36","unstructured":"(2008). Technical Requirements of Instruments in Network for Earthquake Monitoring-Geoelectrical Meters, Part 2: Meter for Geoelectrical Field (Standard No. GB\/T 29.2\u20142008). (In Chinese)."},{"key":"ref_37","first-page":"46","article-title":"Calculation and Harmonic analysis of theoretical value of vertical strain Earth tide","volume":"04","author":"Liu","year":"1989","journal-title":"Crustal Deform. Earthq."},{"key":"ref_38","first-page":"460","article-title":"Harmonic analysis of the machine for calculating the theoretical value of strain Earth tide","volume":"29","author":"Liu","year":"1986","journal-title":"Chin. J. Geophys."},{"key":"ref_39","unstructured":"Schureman, P. (1940). Manual of Harmonic Analysis and Prediction of Tides, U.S Department of Commerce Coast and Geodetic Survey. Special Publication No. 98. Revised (1940) Edition."},{"key":"ref_40","first-page":"415","article-title":"Computational procedures at the international center for Earth tides I.C.E.T","volume":"72","author":"Ducarme","year":"1975","journal-title":"Marees Terrestres Bull. d\u2019Inform."},{"key":"ref_41","first-page":"118","article-title":"Relative in-situ calibration of 4-component borehole strain observation","volume":"25","author":"Qiu","year":"2005","journal-title":"J. Geod. Geodyn."},{"key":"ref_42","first-page":"78","article-title":"The Reliability Analysis of Strain Seismic Waves Recorded by High Sampling Four-component Borehole Strainmeter","volume":"39","author":"Tang","year":"2023","journal-title":"Earthq. Res. China"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"1036797","DOI":"10.3389\/feart.2023.1036797","article-title":"The apparent focal depth, emergence angle, and take-off angle of seismic wave measured by YRY-4-type borehole strainmeter as one kind of strain seismograph","volume":"11","author":"Tang","year":"2023","journal-title":"Front. Earth Sci."},{"key":"ref_44","first-page":"1196","article-title":"Characteristic Analysis of Coseismic Variation of 4-Component Borehole Strain Observation with Different Sampling Rates","volume":"42","author":"Tang","year":"2022","journal-title":"J. Geod. Geodyn."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/12\/3954\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:00:45Z","timestamp":1760108445000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/12\/3954"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,18]]},"references-count":44,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2024,6]]}},"alternative-id":["s24123954"],"URL":"https:\/\/doi.org\/10.3390\/s24123954","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2024,6,18]]}}}