曲化平用最佳等效源模型及其单位位场表达式推导的新方法

摘要

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.%本文以Hanson R.O.和Miyazaki Y.的论文(1984)为基础定义了“曲化平用最佳等效源模型”,并利用这一模型研制出了能快速、高精度地对大面积位场观测数据实施曲化平处理的软件程序.在严格推导该模型“单位位场正演表达式”的过程中,作者根据模型与其位场正演表达式之间的映射关系,提出了推导位场正演公式的“模型变换法”.采用该方法很容易地导出了该模型的形式极其简短的“单位位场正演表达式”.作者认为,推导位场正演表达式的模型变换法可能具有普遍性,建议位场理论和方法技术研究者对此给予关注,以便在自己的研究实践中遇到类似问题时,参考、试用,并予以发展和完善.