非线性渗流二次函数与幂函数的转换

The Transformation between the Quadratic Function andthe Power Function for the Non_Linear Seepage Flow

根据描述非线性渗流二次函数和幂函数两种表达式可以描述同一渗流场的特点，提出二者之间应有同一性，即它们之间可以相互转换。并通过最小二乘法的数学手段，导出了两种函数相互转换的关系式。对层流和充分紊流两种特殊渗流以及假定值的检验表明，该关系式能充分表达二者的同一性，为以后对非线性渗流的进一步研究提供参考。

According to the two kinds of expressions of the quadratic functions and the power functoin for describing the non_linear seepage flow,this paper advances that the two kinds of expressions should have identity,that is to say they can transform each other.And by means of least square method,the relational expression for the two kinds of functions to transform each other is derived.From the verification of the two kinds of particular seepage flow(laminal flow and adequate turbulent flow)and the hypothetic data,it has been shown that the relational expression can express the identity between them adequately,it can afford the references to the further research on the non_linear seepage flow.