CAJ | 학술논문

探讨了一维对流弥散方程的时间依赖反应系数函数的反演问题及其在一个土柱渗流试验中的应用．借助一个积分恒等式，讨论了正问题单调解的存在条件及反问题的数据相容性．进一步考虑一个扰动土柱试验模型模拟问题，应用一种最佳摄动量正则化算法，对反应系数函数进行了数值反演模拟，并应用于实际试验数据的反分析，反演重建结果不仅与相容性分析一致，而且与实际观测数据基本吻合．
탐토료일유대류미산방정적시간의뢰반응계수함수적반연문제급기재일개토주삼류시험중적응용．차조일개적분항등식，토론료정문제단조해적존재조건급반문제적수거상용성．진일보고필일개우동토주시험모형모의문제，응용일충최가섭동량정칙화산법，대반응계수함수진행료수치반연모의，병응용우실제시험수거적반분석，반연중건결과불부여상용성분석일치，이차여실제관측수거기본문합．
An inverse problem of determining a time-dependent reaction coef- ficient in 1-D advection dispersion equation based on the breakthrough data is dealed with in this paper. With the help of an integral identity, data compatibil- ity of the inverse problem is analyzed, and a sufficient condition to the solution＇s monotonicity of the forward problem is obtained. Furthermore, a soil-column in- filtrating experiment is investigated, and an optimal perturbation regularization algorithm is applied to solve the inverse problem. Two typical numerical examples are presented to support the inversion algorithm, and optimal reaction coefficients to the real problem are determined. The inversion results not only coincide with the data compatibility analysis, but also agree with the measured breakthrough data.