建立代理模型时蒙特卡罗抽样和拉丁超立方抽样方法在抽油计划设计中的应用

Yin Jinhang, Lu Wenxi, Xin Xin, Zhang Lei
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引用次数: 16

摘要

为建立内蒙古金泉工业园区地下水数值模拟模型的代理模型,研究了蒙特卡罗采样法和拉丁超立方采样法在抽水试验设计中的应用。首先保证各抽井的抽载服从均匀分布,然后根据各自的方法生成蒙特卡罗样本和拉丁超立方样本。通过对两种结果的对比分析,表明在小样本量下,蒙特卡罗采样方法的采样效率低,采样值对总体的覆盖率低,需要大量的计算量,而拉丁超立方采样方法相对提高了采样效率,采样值对总体的覆盖率,减少了工作量。拉丁超立方抽样方法在该工作中具有较好的实用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of Monte Carlo sampling and Latin Hypercube sampling methods in pumping schedule design during establishing surrogate model
For creating surrogate model of the groundwater numerical simulation model of Jinquan Industrial Park in Inner Mongolia, the application of Monte Carlo sampling method and Latin Hypercube Sampling method in pumping test design is studied. Firstly make sure the pumping load of each pumping wells obeys uniform distribution, then generate Monte Carlo samples and Latin Hypercube samples according to their own methods. Analyses these two results comparing with each other, it suggests that in small sample size, Monte Carlo sampling method has a low sampling efficiency, low coverage of the sampling value to population and needs a large amount of calculation, while Latin Hypercube Sampling method relatively improves the sampling efficiency, coverage of the sampling value to population, and reduce the workload. Latin Hypercube Sampling method has better practicability in this job.
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