LI Junjie, YAN Jiabin. Meshfree method for 2-D forward modeling of gravity anomaly[J]. COAL GEOLOGY & EXPLORATION, 2018, 46(6): 181-186. DOI: 10.3969/j.issn.1001-1986.2018.06.027
Citation: LI Junjie, YAN Jiabin. Meshfree method for 2-D forward modeling of gravity anomaly[J]. COAL GEOLOGY & EXPLORATION, 2018, 46(6): 181-186. DOI: 10.3969/j.issn.1001-1986.2018.06.027

Meshfree method for 2-D forward modeling of gravity anomaly

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National Natural Science Foundation of China(40874055)

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  • Received Date: November 11, 2017
  • Published Date: December 24, 2018
  • Meshfree method as a kind of new numerical method has the advantages of high precision, high order function structure and convenient loading of physical properties, is widely applied in the field of computational mechanics. The meshfree method including PIM, RPIM and EFGM was used in the two-dimensional forward calculation of gravity anomaly field. Firstly, from the 2-D variational problem of gravity anomaly, the corresponding meshfree discrete system matrix expression was deduced by combining Galerkin method and Gauss integral formula. Then suggested values of the shape parameters of RPIM-MQ, RPIM-exp and EFGM-exp were obtained by numerical experiments, the calculation results of different meshfree methods under optimal shape parameters were compared and analyzed. The conclusions are verified as follow:Meshfree method is suitable for 2-D forward modeling of gravity anomaly with big variation of the distribution of medium physical properties, the optimal interval of exponential function shape parameter αc is in range of 1.5 to 1.7, the proposed value of β is 0.6 and the proposed interval of q in MQ function is in range of-4.1 to 1.9, EFGM has higher computational accuracy than PIM and RPIM.
  • [1]
    金钢燮,胡祥云,超敬来,等. 复杂形体重磁异常的等参数有限元积分算法研究[J]. 石油地球物理勘探,2009,44(2):231-239.

    KIM Kangsop,HU Xiangyun,CHO Gyonglae,et al. Study on isoparametric finite-element integral algorithm of gravity and magnetic anomaly for body with complex shape[J]. Oil Geophysical Prospecting,2009,44(2):231-239.
    [2]
    朱自强,曾思红,鲁光银,等. 二度体的重力张量有限元正演模拟[J]. 物探与化探,2010,34(5):668-672.

    ZHU Ziqiang,ZENG Sihong,LU Guangyin,et al. Finite element forward simulation of the two-dimensional gravity gradient tensor[J]. Geophysical and Geochemical Exploration,2010,34(5):668-672.
    [3]
    曾思红,朱自强,鲁光银. 基于DCT有限元二维重力张量的正演[J]. 物探化探计算技术,2010,32(4):392-396.

    ZENG Sihong,ZHU Ziqiang,LU Guangyin. The forward modeling of two-dimensional gravity gradient tensor by finite element based on discrete cosine transform[J]. Computing Techniques for Geophysical and Geochemical Exploration,2010, 32(4):392-396.
    [4]
    李焓,邱之云,王万银. 复杂形体重、磁异常正演问题综述[J]. 物探与化探,2008,32(1):36-43.

    LI Han,QIU Zhiyun,WANG Wanyin. A review of the forward calculation of gravity and magnetic anomalies caused by irregular models[J]. Geophysical and Geochemical Exploration,2008, 32(1):36-43.
    [5]
    李俊杰,严家斌. 无网格法进展及其在地球物理学中的应用[J]. 地球物理学进展,2014,29(1):452-461.

    LI Junjie,YAN Jiabin. Developments of meshless method and applications in geophysics[J]. Progress in Geophysics,2014, 29(1):452-461.
    [6]
    贾晓峰,胡天跃,王润秋. 复杂介质中地震波模拟的无单元法[J]. 石油地球物理勘探,2006,41(1):43-48.

    JIA Xiaofeng,HU Tianyue,WANG Runqiu. A mesh-free algorithm of seismic wave simulation in complex medium[J]. Oil Geophysical Prospecting,2006,41(1):43-48.
    [7]
    周震,贾晓峰. 基于OpenMP加速的无单元逆时偏移成像[J]. 物探化探计算技术,2016,38(6):821-831.

    ZHOU Zhen,JIA Xiaofeng. OpenMP-accelerated element-free reverse-time migration[J]. Computing Techniques for Geophysical and Geochemical Exploration,2016,38(6):821-831.
    [8]
    蒋婵君,王有学,李川,等. 求解声波方程的径向基函数无网格法[J]. 煤田地质与勘探,2016,44(5):136-141.

    JIANG Chanjun,WANG Youxue,Li Chuan,et al. Numerical solution of the acoustic wave equation using meshless method with radial basis functions[J]. Coal Geology & Exploration, 2016,44(5):136-141.
    [9]
    冯德山,王洪华,戴前伟. 基于无单元Galerkin法探地雷达正演模拟[J]. 地球物理学报,2013,56(1):298-308.

    FENG Deshan,WANG Honghua,DAI Qianwei. Forward simulation of ground penetrating radar based on the element-free Galerkin method[J]. Chinese Journal of Geophysics,2013, 56(1):298-308.
    [10]
    严家斌,李俊杰. 无网格法在大地电磁正演计算中的应用[J]. 中南大学学报(自然科学版),2014,45(10):3513-3520.

    YAN Jiabin,LI Junjie. Magnetotelluric forward calculation by meshless method[J]. Journal of Central South University(Science and Technology),2014,45(10):3513-3520.
    [11]
    李俊杰,严家斌. 无网格点插值法大地电磁二维正演数值模拟[J]. 石油物探,2014,53(5):617-626.

    LI Junjie,YAN Jiabin. Magnetotelluric two-dimensional forward numerical modeling by meshfree point interpolation method[J]. Geophysical Prospecting for Petroleum,2014,53(5):617-626.
    [12]
    LI Junjie,YAN Jiabin,HUANG Xiangyu. Precision of meshfree methods and application to forward modeling of two-dimensional electromagnetic sources[J]. Applied Geophysics,2015,12(4):503-515.
    [13]
    WITTKE J,TEZKAN B. Meshfree magnetotelluric modeling[J]. Geophysical Journal International,2014,198(2):1255-1268.
    [14]
    李俊杰,严家斌. 大地电磁二维正演中的有限元-径向基点插值法[J]. 中国有色金属学报,2015,25(5):1314-1324.

    LI Junjie,YAN Jiabin. Magnetotelluric two-dimensional forward by finite element-radial point interpolation method[J]. The Chinese Journal of Nonferrous Metals,2015,25(5):1314-1324.
    [15]
    李俊杰,严家斌,皇祥宇. 无单元Galerkin法大地电磁三维正演模拟[J]. 地质与勘探,2015,51(5):946-952.

    LI Junjie,YAN Jiabin,HUANG Xiangyu. Three-dimensional forward modeling of magnetotellurics using the element-free Galerkin method[J]. Geology and Exploration,2015,51(5):946-952.
    [16]
    LI Junjie,YAN Jiabin. Two dimensional magnetotelluric forward by meshfree local radial point interpolation method[C]//Proceedings of the 6th International Conference on Environmental and Engineering Geophysics,Science Press USA,2014:623-628.
    [17]
    卢杰,李予国. 无网格局部Petrov-Galerkin法大地电磁场二维正演模拟[J]. 地球物理学报,2017,60(3):1189-1200.

    LU Jie,LI Yuguo. Two-dimensional magnetotelluric forward modeling using the meshfree local Petrov-Galerkin method[J]. Chinese Journal of Geophysics,2017,60(3):1189-1200.
    [18]
    麻昌英,柳建新,刘海飞,等. 基于全局弱式无单元法直流电阻率正演模拟[J]. 地球物理学报,2017,60(2):801-809.

    MA Changying,LIU Jianxin,LIU Haifei,et al. A global weak form element free method for direct current resistivity forward simulation[J]. Chinese Journal of Geophysics,2017,60(2):801-809.
    [19]
    孔倩,李鹏,李晶. 二维位场延拓的无网格方法研究[J]. 物探化探计算技术,2017,39(2):155-160.

    KONG Qian,LI Peng,LI Jing. Research on element free Galerkin method for 2-D potential field extension[J]. Computing Techniques for Geophysical and Geochemical Exploration, 2017,39(2):155-160.

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