摘要
非均匀介质中的弥散过程是依赖距离的 ,这起源于非均质结构的多尺度性质 .文章对于具有指数弥散函数的弥散过程建立了对流 弥散微分方程模型 ,应用积分变换将问题转化为具有变系数的常微分方程问题 ;对于两种类型的边界条件 ,应用超几何函数和反演技术得到了问题的解析解 ,并分析了指数弥散过程和常数弥散过程的不同性质 .
The dispersion process in heterogeneous porous media is distance dependent, which result from the multi scaling property of heterogeneous structure. An analytical model describing the dispersion with an exponential dispersion function is built, which be transformed into CDE problem with variable coefficient, using hypergeometric function and inversion technique, an analytical solution for two type boundary conditions is obtained. According to the analytical solution and computing results the difference between the exponential dispersion and constant dispersion process is analyzed.
出处
《宁夏大学学报（自然科学版）》
CAS
2000年第1期57-59,共3页
Journal of Ningxia University(Natural Science Edition)
基金
SupportedbytheBasicScienceFoundationofUniversityofPetroleum
关键词
非均质介质
解析解
对流-弥散方程
常微分方程
heterogeneous porous media
dispersion
hypergeometric function
analytical solution
