The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location
The sensor network layout is a key factor affecting the accuracy and stability of the microseismic/acoustic source (MS/AE) location. Based on the arrival-time-difference principle, the hyperbolic/hyperboloidal governing equations for the source location are derived. The nonuniformity geometrical cha...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/2651214 |
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| author | Nan Li Maochen Ge Enyuan Wang Shaohua Zhang |
| author_facet | Nan Li Maochen Ge Enyuan Wang Shaohua Zhang |
| author_sort | Nan Li |
| collection | DOAJ |
| description | The sensor network layout is a key factor affecting the accuracy and stability of the microseismic/acoustic source (MS/AE) location. Based on the arrival-time-difference principle, the hyperbolic/hyperboloidal governing equations for the source location are derived. The nonuniformity geometrical characteristics of hyperbolic/hyperboloidal field for the source location are obtained. The sensor network does not induce any location errors; it only affects the source location accuracy by amplifying the existing errors in the input data during the source location process. Also, this amplication effect of the input data errors is characterized by nonuniformity because of the nonuniformity of the hyperbolic/hyperboloidal field. Furthermore, two basic effects, the geometrical spreading and the directional control, of the sensor network are investigated, and the three-dimensional space quantitative models of these two effects are established, respectively. The influence of the wave velocity error and arrival time error on the source location accuracy is analytically compared, and the propagation characteristics of these two types of errors during the source location process are revealed. The concepts of critical arrival-time difference and critical hyperbola/hyperboloid are proposed. Based on these two concepts, the monitoring area can be divided into two regions where the source location accuracy is controlled by the velocity error and the arrival time error, respectively. The concept of direction angle of paired sensors is proposed, and the relationship between the source location and the layout of four typical paired sensors is studied. Finally, the principles of sensor network optimization are determined. |
| format | Article |
| id | doaj-art-9e778773e17d432f8defe274c7069fb1 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-9e778773e17d432f8defe274c7069fb12025-02-03T06:43:26ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/26512142651214The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source LocationNan Li0Maochen Ge1Enyuan Wang2Shaohua Zhang3State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaMining Engineering and Nuclear Engineering Department, Missouri University of Science and Technology, Rolla 65409, MO, USAState Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaState Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaThe sensor network layout is a key factor affecting the accuracy and stability of the microseismic/acoustic source (MS/AE) location. Based on the arrival-time-difference principle, the hyperbolic/hyperboloidal governing equations for the source location are derived. The nonuniformity geometrical characteristics of hyperbolic/hyperboloidal field for the source location are obtained. The sensor network does not induce any location errors; it only affects the source location accuracy by amplifying the existing errors in the input data during the source location process. Also, this amplication effect of the input data errors is characterized by nonuniformity because of the nonuniformity of the hyperbolic/hyperboloidal field. Furthermore, two basic effects, the geometrical spreading and the directional control, of the sensor network are investigated, and the three-dimensional space quantitative models of these two effects are established, respectively. The influence of the wave velocity error and arrival time error on the source location accuracy is analytically compared, and the propagation characteristics of these two types of errors during the source location process are revealed. The concepts of critical arrival-time difference and critical hyperbola/hyperboloid are proposed. Based on these two concepts, the monitoring area can be divided into two regions where the source location accuracy is controlled by the velocity error and the arrival time error, respectively. The concept of direction angle of paired sensors is proposed, and the relationship between the source location and the layout of four typical paired sensors is studied. Finally, the principles of sensor network optimization are determined.http://dx.doi.org/10.1155/2020/2651214 |
| spellingShingle | Nan Li Maochen Ge Enyuan Wang Shaohua Zhang The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location Shock and Vibration |
| title | The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location |
| title_full | The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location |
| title_fullStr | The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location |
| title_full_unstemmed | The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location |
| title_short | The Influence Mechanism and Optimization of the Sensor Network on the MS/AE Source Location |
| title_sort | influence mechanism and optimization of the sensor network on the ms ae source location |
| url | http://dx.doi.org/10.1155/2020/2651214 |
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