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Gravity Frequency Domain Continuation Methods and Error Factors
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Huaikui GUAN1, 2, Yun XIAO2, 3, *, Feilong REN4, Han WANG1, 2, Weixuan SUN1, 2
Journal of Geodesy and Geodynamics | 2026, 46(2) : 244 - 255
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Journal of Geodesy and Geodynamics | 2026, 46(2): 244-255
Gravity Frequency Domain Continuation Methods and Error Factors
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Huaikui GUAN1, 2, Yun XIAO2, 3, *, Feilong REN4, Han WANG1, 2, Weixuan SUN1, 2
Affiliations
  • 1 School of Geological Engineering and Geomatics, Chang'an University, Xi'an 710054, China
  • 2 State Key Laboratory of Geo-Information Engineering, Xi'an 710054, China
  • 3 Xi'an Institute of Surveying and Mapping, Xi'an 710054, China
  • 4 Xi'an Aerospace Remote Sensing Data Technology Corporation, Xi'an 710100, China
Published: 2026-02-15 doi: 10.14075/j.jgg.2025.03.072
Outline
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For the downward continuation method of gravity field, the frequency domain continuation method has different requirements for data noise and continuation distance, and there is no clear conclusion yet. This paper analyzes seven frequency domain downward continuation methods, including Milne method, Taylor series expansion method, integral iteration method, Tikhonov regularization method, CGNR method, iterative least squares method, and Landweber iterative method. The model was tested using simulation data and aviation measured data, and the results were compared and studied. The results show that the Milne method and the Taylor series expansion method can be used for continuation of point distances less than 14 times under noise-free conditions; the integral iteration method has better stability when continuation of point distances 1 to 20 times without noise, but is more sensitive to noise; the Tikhonov regularization method has significant advantages when it contains noise and is greater than 5 times of point distances, and can obtain higher accuracy; the CGNR method, iterative least squares method and Landweber iterative method have wide applicability, and can maintain high accuracy when continuation of point distances 1 to 20 times under different noise conditions. Among them, the noise resistance of the Landweber iterative method is the most outstanding, and the latter four methods show certain advantages in actual data experiments, and can obtain stable downtime results.

gravity field  /  downward continuation  /  frequency domain  /  noise sensitivity  /  continuation distance
关怀魁, 肖云, 任飞龙, 王翰, 孙玮萱. 重力场频率域延拓方法分析及误差因素研究. 大地测量与地球动力学, 2026 , 46 (2) : 244 -255 . DOI: 10.14075/j.jgg.2025.03.072
Huaikui GUAN, Yun XIAO, Feilong REN, Han WANG, Weixuan SUN. Gravity Frequency Domain Continuation Methods and Error Factors[J]. Journal of Geodesy and Geodynamics, 2026 , 46 (2) : 244 -255 . DOI: 10.14075/j.jgg.2025.03.072
Year 2026 volume 46 Issue 2
40
16
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doi: 10.14075/j.jgg.2025.03.072
  • Receive Date:2025-03-10
  • Online Date:2026-10-29
  • Published:2026-02-15
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  • Received:2025-03-10
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Affiliations
    1 School of Geological Engineering and Geomatics, Chang'an University, Xi'an 710054, China
    2 State Key Laboratory of Geo-Information Engineering, Xi'an 710054, China
    3 Xi'an Institute of Surveying and Mapping, Xi'an 710054, China
    4 Xi'an Aerospace Remote Sensing Data Technology Corporation, Xi'an 710100, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
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Percentage of
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Number of
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Percentage of total
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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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