模糊线性回归在割离井公式反演水文地质参数中的应用

Application of fuzzy linear regression in the inversion problem of the hydrogeology parameters with the isolated-well formula

【目的】研究模糊线性回归在割离井公式反演水文地质参数中的应用,为水文地质参数的反演提供新的途径。【方法】根据简化的割离井法井流函数,模糊化经典线性回归的参数,建立求解水文地质参数的模糊线性回归模型,将模糊线性回归的方法引入到割离井法反演水文地质参数中,计算得到一定置信水平下的水文地质参数范围,并通过实例计算进行了验证。【结果】实例计算表明,所建立的模糊线性回归模型具有一定的可靠性、可行性。在不同的置信水平下,参数计算结果的范围虽然有一定变化,但这种变化均很微小,表明所建立的方法具有一定的稳定性。【结论】模糊线性回归模型应用于割离井法反演水文地质参数是可行的。

【Objective】 The research was to study the application of fuzzy linear regression in calculating the hydrogeology parameters with the isolated-well formula and offer a new way to calculate the hydrogeology parameters.【Method】 On the ground of the simplified discharge formula with the isolated-well formulas,we obfuscated the parameters of the classical linear regression,established the fuzzy linear regression model,introduced the method of the fuzzy linear regression to calculate the intervals of hydrogeology parameters with the isolated-well formula in a certain confidence level,and checked the results using examples.【Result】 The results of calculation show that this fuzzy linear regression model is reliable and feasible.Meanwhile,in different confidence levels,the calculation results of the parameters have some changes,but all of them are very little,so the method presented in this paper is stable.【Conclusion】 Application of fuzzy linear regression in calculating the hydrogeology parameters with the isolated-well formula is feasible.