裂隙含水层中地下水非线性井流问题研究

Study on the problem of the nonlinear well flow in the fractured rocks

【目的】探讨裂隙含水层中地下水井流问题的精确计算方法,为裂隙含水层中地下水渗流的精确计算提供理论支持。【方法】建立了裂隙含水层中的地下水井流模型,就具有普遍性的Forchheimer非线性渗流规律,通过Boltzmann变换,对非线性渗流模型进行了求解。【结果】从理论上求解出了裂隙含水层中非线性渗流区域内渗流速度和水头降深的解析表达式,并通过引入无量纲时间、紊流因子和井流函数,对所求解析解进行了化简。【结论】揭示了裂隙含水层中非线性流的客观存在,建立了非线性渗流模型并进行了求解。

[Objective] The study discussed more accurate calculation method of the problem of well flow in the aquifer layer. [Method] The more universal Forchheimer non-linear flow law was used in the text,the water balance equation was established and solved in the nonlinear region by Boltzmann transform. [Result] The analytical expression of seepage velocity and drawdown was given. By the introduction of non-dimensional time and turbulence factor and well function, the solutions were simplified. [Conclusion] The study reveals that the non-linear flow exists objectively in the fractured rocks, and the seepage equation is established and solved. The study improves and perfects the theory of flow and provides support to the well flow calculation in theory.