Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation

  • WU Yihao ,
  • LUO Zhicai ,
  • ZHOU Boyang
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  • 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
    2. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China;
    3. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China;
    4. Department of Surveying and Mapping, Guangdong University of Technology, Guangzhou 510006, ChinaAbstract

Received date: 2015-04-27

  Revised date: 2016-03-01

  Online published: 2016-05-30

Supported by

The National Natural Science Foundation of China (Nos.41374023;41131067;41174020);The State Scholarship Fund from Chinese Scholarship Council (No.201306270014);The Fundamental Research Funds for the Central Universities (No.2042014gf041)

Abstract

We studied the so-called non-harmonic problem in residual terrain model (RTM) and compared the RTM corrections based on prisms and tesseroids. Moreover, we proposed the generalized RTM based on tesseroids, together with which the regional gravity field was modeled based on Poisson wavelets basis function by using heterogeneous gravity data sets. The results show that the RTM correction based on prism integral has a poor performance in mountainous regions, which may introduce errors with the magnitude of several mGal. Thus, we suggest using RTM based on tesseroids, which lead to a better approximation of the topography. Compared to original residual terrain model,the generalized one leads a better approximation of the regional gravity filed at the high-frequency part caused by local topographical variation.

Cite this article

WU Yihao , LUO Zhicai , ZHOU Boyang . Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation[J]. Acta Geodaetica et Cartographica Sinica, 2016 , 45(5) : 531 -537 . DOI: 10.11947/j.AGCS.2016.20150219

References

[1] 罗志才, 陈永奇, 宁津生. 地形对确定高精度局部大地水准面的影响[J]. 武汉大学学报(信息科学版), 2003, 28(3): 340-344. LUO Zhicai, CHEN Yongqi, NING Jinsheng. Effect of Terrain on the Determination of High Precise Local Gravimetric Geoid[J]. Geomatics and Information Science of Wuhan University, 2003, 28(3): 340-344.
[2] 章传银, 晁定波, 丁剑, 等. 厘米级高程异常地形影响的算法及特征分析[J]. 测绘学报, 2006, 35(4): 308-314. ZHANG Chuanyin, CHAO Dingbo, DING Jian, et al. Arithmetic and Characters Analysis of Terrain Effects for cm Order Precision Height Anomaly[J]. Acta Geodaetica et Cartographica Sinica, 2006, 35(4): 308-314.
[3] FORSBERG R, TSCHERNING C C. The Use of Height Data in Gravity Field Approximation by Collocation[J]. Journal of Geophysical Research, 1981, 86(B9): 7843-7854.
[4] OMANG O C D, FORSBERG R. How to Handle Topography in Practical Geoid Determination: Three Examples[J]. Journal of Geodesy, 2000, 74(6): 458-466.
[5] HIRT C, MARTI U, BVRKI B, et al. Assessment of EGM2008 in Europe Using Accurate Astrogeodetic Vertical Deflections and Omission Error Estimates from SRTM/DTM2006.0 Residual Terrain Model Data[J]. Journal of Geophysical Research, 2010, 115(B10): 196-211.
[6] HIRT C. RTM Gravity Forward-modeling Using Topography/Bathymetry Data to Improve High-degree Global Geopotential Models in the Coastal Zone[J]. Marine Geodesy, 2013, 36(2): 183-202.
[7] HIRT C,FEATHERSTONE W E,MARTI U. Combining EGM2008 and SRTM/DTM2006.0 Residual Terrain Model Data to Improve Quasigeoid Computations in Mountainous Areas Devoid of Gravity Data[J]. Journal of Geodesy, 2010, 84(9): 557-567.
[8] 张兴福, 刘成. 综合EGM2008模型和SRTM/DTM2006.0剩余地形模型的GPS高程转换方法[J]. 测绘学报, 2012, 41(1): 25-32. ZHANG Xingfu, LIU Cheng. The Approach of GPS Height Transformation Based on EGM2008 and SRTM/DTM2006.0 Residual Terrain Model[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(1): 25-32.
[9] HECK B, SEITZ K. A Comparison of The Tesseroid, Prism and Point-mass Approaches for Mass Reductions in Gravity Field Modelling[J]. Journal of Geodesy, 2007, 81(2): 121-136.
[10] HIRT C. Prediction of Vertical Deflections from High-degree Spherical Harmonic Synthesis and Residual Terrain Model Data[J]. Journal of Geodesy, 2010, 84(3): 179-190.
[11] TZIAVOS I N, VERGOS G S, GRIGORIADIS V N. Investigation of Topographic Reductions and Aliasing Effects on Gravity and the Geoid over Greece Based on Various Digital Terrain Models[J]. Surveys in Geophysics, 2010, 31(1): 23-67.
[12] NAGY D, PAPP G, BENEDEK J. The Gravitational Potential and Its Derivatives for the Prism[J]. Journal of Geodesy, 2000, 74(7): 552-560.
[13] 宁津生, 李建成, 晁定波. 由地面重力数据确定扰动位径向二阶梯度[J]. 武汉测绘科技大学学报, 1996, 21(3): 201-206. NING Jinsheng, LI Jiancheng, CHAO Dingbo. Determination of the 2nd Radial Gradient of Disturbing Potential Using Terrestrial Gravity Data[J]. Journal of Wuhan Technical University of Surveying and Mapping, 1996, 21(3): 201-206.
[14] ANTUNES C,PAIL R,CATALÃO J. Point Mass Method Applied to the Regional Gravimetric Determination of the Geoid[J]. Studia Geophysica et Geodaetica, 2003, 47(3): 495-509.
[15] BENTEL K, SCHMIDT M, GERLACH C. Different Radial Basis Functions and Their Applicability for Regional Gravity Field Representation on the Sphere[J]. GEM-International Journal on Geomathematics, 2013, 4(1): 67-96.
[16] BENTEL K, SCHMIDT M, DENBY C R. Artifacts in Regional Gravity Representations with Spherical Radial Basis Functions[J]. Journal of Geodetic Science, 2013, 3(3): 173-187.
[17] KLEES R, TENZER R, PRUTKIN I, et al. A Data-driven Approach to Local Gravity Field Modelling Using Spherical Radial Basis Functions[J]. Journal of Geodesy, 2008, 82(8): 457-471.
[18] TENZER R, KLEES R. The Choice of the Spherical Radial Basis Functions in Local Gravity Field Modeling[J]. Studia Geophysica et Geodaetica, 2008, 52(3): 287-304.
[19] KUSCHE J. Noise Variance Estimation and Optimal Weight Determination for GOCE Gravity Recovery[J]. Advances in Geosciences, 2003, 1: 81-85.
[20] FARAHANI H H, DITMAR P, KLEES R, et al. The Static Gravity Field Model DGM-1S from GRACE and GOCE Data: Computation, Validation and an Analysis of GOCE Mission's Added Value[J]. Journal of Geodesy, 2013, 87(9): 843-867.
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