二维地下水流数学模型的反演

INVERSE DEDUCTION FOR THE MATHE MATICAL MODEL OF TWO-DIMENSION UNDERGROUND WATER FLOW

地下水在松散岩石的孔隙或坚硬岩层的裂缝申储存和运动。由于这些介质结构复杂,要直接观察和探测水在其中的流动是非常困难的。本文提出了求解非均质的二维承压水流模型的导水系数、储水系数、源汇项等参数的数学反演方法。对反问题中的不适定性,采用了Tikhnov正则化方法。分析结果对生产实践有一定的参考价值。

Underground water stores and flows in the holes of loose rocks or in the fissures of hard rocks. Because of complicated structures of the media themselves, it is very difficult to observe and survey the water flow characteristics. The paper provides the mathematical method of inverse deduction for solving the water conduct coefficient, the water store coefficient, and the confluence and source terms in the model of inhomogeneous two-dimension pressed water flow, and uses the Tikhnov regularization method for the ill-posed problem emerging in the inverse problem. The results obtained have certain referential value for practical production.