Theis井函数计算方法及井模型参数优化计算研究

摘要

Summarizing the various numerical methods for computing the Thies well-function, the advantages and disadvantages of each method were analyzed and compared, and their impacts on final model parameter estimation were concluded, a new simplified alternative way was proposed too. Two real examples were adopted to examine the performance of both well-function computation and model auto-calibration. The study results show that: (1) The wide-used series expansion method for calculation of Thies well-function should be thinked for use with much caution; (2) Universal optimization platform 1stOpt can be considered as an advance tool for parameter auto-calibration of Theis well-model, and the platform could also be widely applied on other hydrological models.%归纳总结了Theis井模型中井函数的不同数值计算方法，探讨﹑分析和比较了各方法的利弊﹑优缺点及对模型最终参数计算的影响，提出了新的简易计算方法；以经典实际案例为对象，对比研究了优化软件平台在Thies井模型参数计算中的实际应用效果；计算结果表明：(1)Thies井模型参数估算应慎用广为采纳的级数展开井函数计算方式；(2)1stOpt通用优化计算平台可很好处理Theis井模型参数优化计算问题，并可广泛用于其它水文模型参数求解。