符号化计算法在地球物理应用上的初探——以计算大地电磁视电阻率及其偏导数为例  

Primarily study on symbolization algorithm′s in geophysics application——example of computing MT′s apparent resistivity and its partial derivative

作　　者：胡瑞华[1] 林君[1] 李桐林[2] 

机构地区：[1]吉林大学地球信息探测仪器教育部重点实验室,长春130061 [2]吉林大学地球探测科学与技术学院,长春130026

出　　处：《物探化探计算技术》2013年第6期640-644,共5页Computing Techniques For Geophysical and Geochemical Exploration

基　　金：国家自然科学基金(41104068);国家级基金(OSR-02-01);吉林大学农学部青年基金(4305050102RV)

摘　　要：符号化计算法是基于符号运算的新型计算方法。分析了符号化计算法与数值计算法的区别,并以一具体示例实现为例,总结出其数值计算过程是按"创建需求母符号表达式"、"符号运算生成目标符号表达式"、"用真值替换符号计算出最终结果"三个步骤进行的。通过MATLAB编程对比了符号化法和帕特里克法数值法计算视电阻率及其偏导数的计算结果,证明了符号化计算法的可行性。实验也证明其数值计算速度较慢,但它具有为等效或近似数值计算提供标准结果、有助于发现新算法的优势,这种优势将使符号化计算法在地球物理领域中有广泛的应用前景。The symbolization algorithm is a new method based on symbol computing. The paper analyses the difference between the new method and numerical computing, and summarizes the symbolization algorithm＇s value computing proce dures including three steps： creates requirement mother symbol expressions, uses symbol operation to generate objective symbol expressions, substitutes real value to compute and get final results according to an example. It proves the symboliza- tion algorithm practicable by the MATLAB＇s computing results of apparent resistivity and its partial derivative using the symbolization algorithm and Paterlic algorithm. The experiments also give proofs that the symbolization algorithrn＇s compu- ting speed is slower, however, the symbolization algorithm is capable and advantaged between providing standard final re- sults for equivalem expressions or approximate expressions and it helps us with finding new algorithms. So it shows that the symbolization algorithm advantages hiding widely application prospects on geophysics fields.

关 键 词：符号化计算法 数值计算 大地电磁 视电阻率偏导数 帕特里克法 MATLAB 

分 类 号：P631.322[天文地球—地质矿产勘探]