首頁> 外國專利> METHOD FOR SEEKING SEMI-ANALYTICAL SOLUTIONS TO MULTI-SPECIES CONTAMINANT TRANSPORT EQUATIONS COUPLED WITH SEQUENTIAL FIRST-ORDER REACTIONS THROUGH SIMILARITY TRANSFORMATION OF CLEMENT AND A GENERALIZED INTEGRAL TRANSFORM TECHNIQUE

METHOD FOR SEEKING SEMI-ANALYTICAL SOLUTIONS TO MULTI-SPECIES CONTAMINANT TRANSPORT EQUATIONS COUPLED WITH SEQUENTIAL FIRST-ORDER REACTIONS THROUGH SIMILARITY TRANSFORMATION OF CLEMENT AND A GENERALIZED INTEGRAL TRANSFORM TECHNIQUE

機(jī)譯：通過相似相似轉(zhuǎn)換和廣義積分變換技術(shù)求與順序一階反應(yīng)耦合的多污染物傳輸方程的半解析解的方法

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PURPOSE: A method for seeking semi-analytical solutions to a multi-species contaminant transport equation coupled with a first-order reaction network is provided to find semi-analytical solutions under the flow speed and the diffusion coefficient of groundwater varying in time and space and under the boundary condition varying in time.;CONSTITUTION: A method for seeking semi-analytical solutions to a dechlorination reaction equation coupled with sequential first-order reactions is characterized by obtaining new analytical solutions using similarity transformation approach of Clement et al. together with GITT(Generalized Integral Transform Technique). The method comprises the steps of: transforming concentrations of multi-species contaminants linearly combined with each other into independent concentrations of each single species through forward linear transformation; transforming governing equations of single species transport equations which are obtained through the forward linear transformation; transforming the initial condition and the boundary condition for the multi-species contaminant equation into the initial condition and the boundary condition for the single species transport equations based on the forward linear transformation; finding analytic solutions to the single species transport equations transformed through the forward linear transformation using GITT under the flow speed and the diffusion coefficient of groundwater which vary in space and time; and finding analytic solutions to the multi-species contaminant transport equation by transforming the solutions to the single species transport equations into the analytic solutions to the multi-species contaminant transport equation linearly combined with each other through backward linear transformation.;COPYRIGHT KIPO 2013;[Reference numerals] (AA) Forward linear transformation; (BB) Governing equation transformation by forward linear transformation; (CC) Initial and boundary condition transformation based on forward linear transformation; (DD) Find analytic solutions using GITT; (EE) Backward linear transformation

機(jī)譯：目的：提供一種尋找與第一級反應(yīng)網(wǎng)絡(luò)耦合的多物種污染物遷移方程的半解析解的方法，以尋找在地下水的流速和擴(kuò)散系數(shù)隨時間和空間變化的情況下的半解析解。組成：一種尋找結(jié)合順序一階反應(yīng)的脫氯反應(yīng)方程的半解析解的方法，其特征在于使用Clement等人的相似變換方法獲得新的解析解。與GITT（廣義積分變換技術(shù)）一起使用。該方法包括以下步驟：通過正向線性變換將彼此線性組合的多物種污染物的濃度轉(zhuǎn)換為每個單一物種的獨立濃度;通過正向線性變換得到的單一物種遷移方程的變換控制方程;基于正向線性變換，將多物種污染物方程的初始條件和邊界條件轉(zhuǎn)換為單物種遷移方程的初始條件和邊界條件;在地下水的流速和擴(kuò)散系數(shù)隨時間和空間變化的情況下，利用GITT尋找通過正向線性變換變換的單一物種遷移方程的解析解; COPYRIGHT KIPO 2013; [并通過向后線性變換將單物種遷移方程的解轉(zhuǎn)化為彼此線性組合的多物種污染物遷移方程的解析解，從而找到了多物種污染物遷移方程的解析解。[COPYRIGHT KIPO 2013; [附圖標(biāo)記]（AA）正向線性變換; （BB）通過正向線性變換控制方程式變換; （CC）基于正向線性變換的初始條件和邊界條件變換; （DD）使用GITT查找分析解決方案; （EE）向后線性變換

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公開/公告號KR101262260B1

專利類型
公開/公告日2013-05-08

原文格式PDF
申請/專利權(quán)人 KOREA INSTITUTE OF GEOSCIENCE AND MINERAL RESOURCES(KIGAM);
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申請/專利號KR20120128160
發(fā)明設(shè)計人 SUK HEE JUN;
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申請日2012-11-13
分類號G06F19;G06F17/10;
國家 KR
入庫時間 2022-08-21 16:25:13

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METHOD FOR SEEKING SEMI-ANALYTICAL SOLUTIONS TO MULTI-SPECIES CONTAMINANT TRANSPORT EQUATIONS COUPLED WITH SEQUENTIAL FIRST-ORDER REACTIONS THROUGH SIMILARITY TRANSFORMATION OF CLEMENT AND A GENERALIZED INTEGRAL TRANSFORM TECHNIQUE

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