南京大学学报(自然科学版) ›› 2016, Vol. 52 ›› Issue (3): 438–447.
姜蓓蕾1*，冯燕生2，3，施小清2，吴吉春2，孙媛媛2
Jiang Beilei1*，Feng Yansheng2，3，Shi Xiaoqing2，Wu Jichun2，Sun Yuanyuan2
摘要： 水文地质参数反演是地下水数值模拟中的一个重要问题．基于向导点方法，通过设定理想算例，引入SVDAssist正则化方法，反演求解向导点个数大于观测数据个数的高维不适定问题．与传统分区方法的反演结果对比结果表明：向导点－正则化法是一种有效的高维水文地质参数的反演方法，可不依赖于人为的概化分区有效地反演推估非均质渗透系数场的空间分布．还讨论了向导点个数对反演结果的影响，结果表明：向导点个数并非越多越好，随着向导点个数的逐步增加，反演结果精度逐渐提高，但达到一定数量后，向导点个数的增加不仅会增加计算工作量，同时反而会降低反演结果精度．
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