系统的对称转换(Symmetry Transformation)不变性(Invariance)性可以限制它的拉氏函数(Lagrangian)的形式,决定哪些项可以出现在拉氏函数中,因此也就决定了系统的动力行为,限制了相关的物理参数(Parameter)的数目。
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给定一个椭圆方程,我们先找出这个方程的拉氏函数,用差分代替微分,得到离散的拉氏函数。
At first we can get the Lagrangian function from the elliptic equation, then replace differential coefficient by difference and get the discrete Lagrangian function.
在传递函数模型中,这些方程经过(拉氏)变换,并消去中间变量,以求得所选定的输入输出变量间的关系。
In transfer function models these equations are transformed and variables are eliminated between them to find the relation between selected input and output variables.
利用幂函数描述产量与压力值,并通过拉氏变换进行校正,可将抽油井测压早期段数据校正到径向流段,从而大大缩短抽油井测压时间。
Using power function to describe the production rate, pressure and translating them into laplace space, the early time testing data of the pumping well can be modified to the radio flow period.
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