# [1]张双圣,强静,刘汉湖,等.基于拉丁超立方抽样的改进型DRAM算法求解地下水污染反问题[J].郑州大学学报(工学版),2020,41(03):72-78.[doi:10.13705/j.issn.1671-6833.2019.02.016] 　Zhang Shuangsheng,strong static,Liu Han Lake,et al.Improved MCMC method based on latin hypercube sampling for inverse problems of underground water pollution[J].Journal of Zhengzhou University (Engineering Science),2020,41(03):72-78.[doi:10.13705/j.issn.1671-6833.2019.02.016] 点击复制 基于拉丁超立方抽样的改进型DRAM算法求解地下水污染反问题() 分享到： var jiathis_config = { data_track_clickback: true };

41

2020年03期

72-78

2020-07-29

## 文章信息/Info

Title:
Improved MCMC method based on latin hypercube sampling for inverse problems of underground water pollution

1. 中国矿业大学环境与测绘学院;2. 徐州市城区水资源管理处;  3. 中国矿业大学数学学院;4. 山东省城市供排水水质监测中心
Author(s):
1. School of Environment and Surveying, China University of Mining and Technology; 2. Xuzhou Urban Water Resources Management Office;  3. School of Mathematics, China University of Mining and Technology; 4. Shandong Provincial Water Supply and Drainage Water Quality Monitoring Center

Keywords:
DOI:
10.13705/j.issn.1671-6833.2019.02.016

A

Abstract:
Aiming at the problem of the result affected by samples’ initial values with classical MCMC method, when the inverse problems of underground water pollution were solved by Bayesian statistical methods, an improved MCMC method based on latin hypercube sampling was presented. An underground water pollution source identification model was built by coupling Bayesian statistical methods to two-dimensional water quality convection-diffusion equation. An example of a pollutant in the underground aquifer discharged instantly was put forward, and the pollution source information including source’’s position, intensity and discharging time was solved by classical MCMC method and improved MCMC method separately. The example showed that the inversion results affected by initial values with classical MCMC method were locally optimal or difficult to convergence; on the contrary, the improved MCMC method could achieve a global optimization. The computed values solved by the improved MCMC method were basically the same as the truth values. The accuracy and stability were improved significantly.