An optimal model of the equivalent source for reduction-to-plane of potential field on uneven surface and the new method to deduce unit potential field expression of the optimal model

作者：An Yu Lin^*; Chai Yu Pu; Zhang Ming Hua; Huang Jin Ming; Qiao Ji Hua

来源：Chinese Journal of Geophysics, 2013, 56(7): 2473-2483.

DOI：10.6038/cjg20130733

• Reduction-to-plane
• Optimal equivalent source model
• Unit potential field expression
• Substitution of initial value
• Model transformation method

On the basis of the paper of Hanson and Miyazaki (1984), the optimal model of the equivalent source for reduction-to-plane of potential field on uneven surface is defined, and the application program developed by using the optimal model can carry out the reduction-to-plane of potential field on a large-area uneven surface with high precision and high speed. In the process of developing the unit potential field expression of the optimal model, we have put forward a model transformation method based on the mapping relationship between models and their potential field expressions. A quite brief expression of unit potential field can be deduced easily by using the model transformation method. The authors believe that the model transformation method may have some catholicity in deducing potential forward expression, and advise readers who work with potential field theory and method research should pay attention to it, so as to consult and use this method to solve their problems and develop and perfect it.

• 出版日期2013-7
• 单位中国地质大学（北京）