基于改进的共轭梯度算法重构地下水污染源项
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X523

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国家自然科学基金(51468033)


Reconstruction of groundwater pollution source term with improved conjugate gradient algorithm
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    摘要:

    针对地下水污染源项的识别问题,为重构非恒定地下水污染源项,采用有限差分格式离散方程,同时附加终端观测值,利用改进的共轭梯度算法反演地下水的污染源项。结果表明:对于连续以及不连续不可导的污染源项均能够被重构;此外,考虑测量误差的影响,数值结果显示在有测量误差的情况下,该算法也能较好地反演污染源项,充分说明改进的共轭梯度算法反演地下水污染源项是有效的。

    Abstract:

    In order to reconstruct the unsteady pollution source term of groundwater for its identification, the finite difference scheme was used to discretize the equations, terminal observed data were appended, and an improved conjugate gradient algorithm was used to reconstruct the pollution source term. The results show that, whether the pollution source term is a continuous function or a discontinuous and non-differentiable function, it can be reconstructed. In addition, with consideration of measurement errors, the proposed method can reconstruct the source term effectively, indicating that the improved conjugate gradient algorithm is effective in reconstructing the groundwater pollution source term.

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引用本文

邢利英,张国珍.基于改进的共轭梯度算法重构地下水污染源项[J].水资源保护,2017,33(3):42-46.(XING Liying, ZHANG Guozhen. Reconstruction of groundwater pollution source term with improved conjugate gradient algorithm[J]. Water Resources Protection,2017,33(3):42-46.(in Chinese))

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  • 收稿日期:2016-06-08
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  • 在线发布日期: 2017-05-11
  • 出版日期: 2017-05-20