环境科学研究
環境科學研究
배경과학연구
RSEARCH OF ENUIRONMENTAL SCIENCES
2010年
4期
480-484
,共5页
刘豪睿%能昌信%刘玉强%王聪%刘景财
劉豪睿%能昌信%劉玉彊%王聰%劉景財
류호예%능창신%류옥강%왕총%류경재
铬污染土壤%复电阻率%数学模型%最小二乘法
鉻汙染土壤%複電阻率%數學模型%最小二乘法
락오염토양%복전조솔%수학모형%최소이승법
chrome-contaminated soil%complex resistivity%mathematic model%least-squares method
为使复电阻率探测方法在铬渣污染场地探测领域取得应用,需要建立土壤的复电阻率模型,包括模型选择及参数反演. 矩阵实验室(Matrix Laboratory,Matlab)的优化工具箱提供了基于置信域方法的最小二乘曲线拟合求解算法,为优化方法在工程中的实际应用提供了更方便、更快捷的途径. 在大量土壤样品复电阻率实测数据基础上,采用置信域方法并结合各模型的参数约束,反演了Cole-Cole模型的参数. 结果表明:基于置信域方法的最小二乘曲线拟合求解算法可以准确求取复电阻率模型参数,但前提是必须提供较精确的初始值;与使用复电阻率幅值和相位的联合反演相比,单独考虑幅值或者相位的反演也能够取得相近的效果.
為使複電阻率探測方法在鉻渣汙染場地探測領域取得應用,需要建立土壤的複電阻率模型,包括模型選擇及參數反縯. 矩陣實驗室(Matrix Laboratory,Matlab)的優化工具箱提供瞭基于置信域方法的最小二乘麯線擬閤求解算法,為優化方法在工程中的實際應用提供瞭更方便、更快捷的途徑. 在大量土壤樣品複電阻率實測數據基礎上,採用置信域方法併結閤各模型的參數約束,反縯瞭Cole-Cole模型的參數. 結果錶明:基于置信域方法的最小二乘麯線擬閤求解算法可以準確求取複電阻率模型參數,但前提是必鬚提供較精確的初始值;與使用複電阻率幅值和相位的聯閤反縯相比,單獨攷慮幅值或者相位的反縯也能夠取得相近的效果.
위사복전조솔탐측방법재락사오염장지탐측영역취득응용,수요건립토양적복전조솔모형,포괄모형선택급삼수반연. 구진실험실(Matrix Laboratory,Matlab)적우화공구상제공료기우치신역방법적최소이승곡선의합구해산법,위우화방법재공정중적실제응용제공료경방편、경쾌첩적도경. 재대량토양양품복전조솔실측수거기출상,채용치신역방법병결합각모형적삼수약속,반연료Cole-Cole모형적삼수. 결과표명:기우치신역방법적최소이승곡선의합구해산법가이준학구취복전조솔모형삼수,단전제시필수제공교정학적초시치;여사용복전조솔폭치화상위적연합반연상비,단독고필폭치혹자상위적반연야능구취득상근적효과.
In order to promote the application of the complex resistivity detection method in the field of chrome-contaminated soil detection, a soil complex resistivity model should be established, which involves the adoption of a suitable model and its parametric inversion. The Optimization Toolbox of Matlab, including the least-squares curve-fitting method based on Trust-Region methods, provides a more convenient way for the actual application of optimization. Based on data obtained from a great deal of tests, the parameters of Cole-Cole Model were inverted by Trust-Region methods combined with constraint parameters. The results show that precise complex resistivity parameters can be obtained with the least-squares curve-fitting method based on Trust-Region methods under the condition that the initial value is provided precisely. Compared with union inversion of amplitude and phase, similar results can be obtained with the single inversion of amplitude or phase.