论文部分内容阅读
地球物理学是把地球作为研究对象的一门应用物理学。关于地球物理学的研究除了必要的实验之外,通常从抽象的物理模型着手,其问题大致分为两类,一类是在给定的方程模式之下,求出特定问题定解条件下的解,通常把这类由因及果的问题称作正(演)问题。另一类问题则是在给定的方程模式之下,已知解或解的某些部分,求解方程的系数、源项及边界形状等,通常把这类由表及里由果推因的问题称作反演问题。按着数学描述,可把一定的方程模式写成映射R,把“参数集合”m映成“结果”集合ε,ε包含m的象和所有可能的实验结果,故又称ε为“数据空间”。在地球物理学中,m是“地球模型”类,R是“地
Geophysics is the application of the Earth as a research object of Applied Physics. In addition to the necessary experiments, the geophysics research usually starts from the abstract physical model. The problems can be divided into two types. One is to solve the problem of a given problem under the given equation mode Solution, usually the problem of such cause and effect is called positive problem. Another type of problem is that given a given equation model, some parts of the known solution or solution are known, coefficients of the solution equation, source items and boundary shapes are usually given The problem is called the inversion problem. According to the mathematical description, a certain equation mode can be written as a mapping R, the “parameter set” m is mapped into a “result” set ε, ε contains the image of m and all possible experimental results, so ε is also called “data space” . In geophysics, m is the “Earth Model” class and R is “ground.”