中国环境科学
中國環境科學
중국배경과학
CHINA ENVIRONMENTAL SCIENCE
2014年
4期
1073-1079
,共7页
安永凯%卢文喜%董海彪%罗建男
安永凱%盧文喜%董海彪%囉建男
안영개%로문희%동해표%라건남
替代模型%地下水流数值模拟模型%拉丁超立方%克里格模型
替代模型%地下水流數值模擬模型%拉丁超立方%剋裏格模型
체대모형%지하수류수치모의모형%랍정초립방%극리격모형
surrogate model%numerical simulation model of groundwater%latin hypercube samping%Kriging model
以内蒙古乌拉特中旗金泉工业园区水源地为研究区,建立了研究区地下水流数值模拟模型.采用拉丁超立方方法得到输入(抽水量)输出(水位降深)数据集,运用克里格法建立了地下水流数值模拟模型的替代模型-克里格模型.将克里格模型输出结果与地下水流数值模拟模型输出数据集进行对比发现,克里格模型和地下水流数值模拟模型得到的地下水位降深均值的拟合平均相对误差为0.22%,地下水位降深剩余标准差的拟合平均相对误差为0.03%,拟合误差很小.表明克里格模型可以有效地替代地下水流数值模拟模型,这为大幅减小优化模型在优化迭代求解过程中多次调用模拟模型造成的巨大计算负荷提供一种有效的替代方法.
以內矇古烏拉特中旂金泉工業園區水源地為研究區,建立瞭研究區地下水流數值模擬模型.採用拉丁超立方方法得到輸入(抽水量)輸齣(水位降深)數據集,運用剋裏格法建立瞭地下水流數值模擬模型的替代模型-剋裏格模型.將剋裏格模型輸齣結果與地下水流數值模擬模型輸齣數據集進行對比髮現,剋裏格模型和地下水流數值模擬模型得到的地下水位降深均值的擬閤平均相對誤差為0.22%,地下水位降深剩餘標準差的擬閤平均相對誤差為0.03%,擬閤誤差很小.錶明剋裏格模型可以有效地替代地下水流數值模擬模型,這為大幅減小優化模型在優化迭代求解過程中多次調用模擬模型造成的巨大計算負荷提供一種有效的替代方法.
이내몽고오랍특중기금천공업완구수원지위연구구,건립료연구구지하수류수치모의모형.채용랍정초립방방법득도수입(추수량)수출(수위강심)수거집,운용극리격법건립료지하수류수치모의모형적체대모형-극리격모형.장극리격모형수출결과여지하수류수치모의모형수출수거집진행대비발현,극리격모형화지하수류수치모의모형득도적지하수위강심균치적의합평균상대오차위0.22%,지하수위강심잉여표준차적의합평균상대오차위0.03%,의합오차흔소.표명극리격모형가이유효지체대지하수류수치모의모형,저위대폭감소우화모형재우화질대구해과정중다차조용모의모형조성적거대계산부하제공일충유효적체대방법.
Jinquan Industrial Park groundwater sources in Neimenggu was selected as the study area, and the groundwater numerical simulation model for this area was established. Latin hypercube samping was used to obtain input (pumping) and output (water level drawdown) data sets, and the Kriging was proposed to establish an surrogate model of the groundwater numerical model, namely Kriging model. Compared the outputs of kriging model with that of numerical simulation model of groundwater, the fitting mean relative error of mean groundwater level drawdown obtained by Kriging model and numerical simulation model of groundwater was 0.22%, and the fitting mean relative error of the remaining average relative standard deviation of groundwater level drawdown was 0.03%. So the fitting error was small, which indicated that the Kriging model can effectively replace groundwater numerical model. This study will provide an effective surrogate method to reduce computational load resulted from multiple invocation of the the numerical simulation model of groundwater in the processes of optimization solution by optimization model.