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Three-dimensional Gravity Inversion Based on Exponential Focus Stabilizer and Penalty Function Constraints
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Wen-qiang YAN1, 2, Tian-jun CHENG3, Xiao CHEN1, 2, *, Fei-yu ZHAO1, 2, Qi-mao XIE3, Xiao-dong WAN1, 2, Xue-cheng JIANG1, 2, Jin-feng WANG1, 2
Science Technology and Engineering | 2025, 25(3) : 893 - 899
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Science Technology and Engineering | 2025, 25(3): 893-899
Papers·Astronomy and Geosciences
Three-dimensional Gravity Inversion Based on Exponential Focus Stabilizer and Penalty Function Constraints
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Wen-qiang YAN1, 2, Tian-jun CHENG3, Xiao CHEN1, 2, *, Fei-yu ZHAO1, 2, Qi-mao XIE3, Xiao-dong WAN1, 2, Xue-cheng JIANG1, 2, Jin-feng WANG1, 2
Affiliations
  • 1. School of Geophysics and Measurement-control Technology, East China University of Technology, Nanchang 330013, China
  • 2. State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang 330013, China
  • 3. Jianghan Branch of Sinopec Geophysical Corporation, Qianjiang 433100, China
Published: 2025-01-28 doi: 10.12404/j.issn.1671-1815.2308285
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The boundaries of underground geological bodies are effectively highlighted through gravity inversion based on a typical focusing stabilizer, but this process is significantly affected by the focusing factor. The focusing characteristics are possessed by the exponential focusing stabilizer. To a certain extent, the issue of selecting the focusing factor can be circumvented by it, and it has the potential to have improved the effectiveness of three-dimensional gravity inversion.Furthermore, the multiplicity of solutions in inversion can be improved by the constraint imposed by the penalty function, which confine the inverted physical property values within a certain range. Based on this, in order to explore the improvement effects on three-dimensional gravity inversion by the exponential focusing stabilizer and penalty function constraint, the exponential focusing stabilizer and penalty function were incorporated into the three-dimensional gravity regularization inversion objective function. Comparisons were made of the effects resulting from three-dimensional gravity inversion, both with and without the involvement of the exponential focusing stabilizer, as well as with and without the application of the penalty function constraint. Model experiments have demonstrated that: the physical properties and spatial distribution of anomalous bodies can be accurately restored by the exponential focusing stabilizer, but there exist instances where false anomalies arise and physical property values surpass the true values. Situations like these can be improved by the exponential focusing inversion that is based on penalty function constraints. Furthermore, the accuracy of the solution can be enhanced by the zonal processing of penalty function constraints. The above situation indicates that the inversion method based on the exponential-type focusing stabilizer and constrained by penalty functions has certain potential to be generalized.

exponential focus stabilizer  /  penalty function  /  three-dimensional inversion  /  gravity
Wen-qiang YAN, Tian-jun CHENG, Xiao CHEN, Fei-yu ZHAO, Qi-mao XIE, Xiao-dong WAN, Xue-cheng JIANG, Jin-feng WANG. Three-dimensional Gravity Inversion Based on Exponential Focus Stabilizer and Penalty Function Constraints[J]. Science Technology and Engineering, 2025 , 25 (3) : 893 -899 . DOI: 10.12404/j.issn.1671-1815.2308285
Year 2025 volume 25 Issue 3
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Article Info
doi: 10.12404/j.issn.1671-1815.2308285
  • Receive Date:2023-10-24
  • Online Date:2025-07-29
  • Published:2025-01-28
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History
  • Received:2023-10-24
  • Revised:2024-08-31
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Affiliations
    1. School of Geophysics and Measurement-control Technology, East China University of Technology, Nanchang 330013, China
    2. State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang 330013, China
    3. Jianghan Branch of Sinopec Geophysical Corporation, Qianjiang 433100, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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