در ده-ه های اخی-ر استفاده از مدله-ای ری-اضی به عنوان ابزاری کارآمد در مطالعات و مدیریت انتقال جرم در محیط های متخلخل رایج بوده است .مدل حاضر با بهره گیری از دسته مع-ادلات، انتقال توده ای، پخش و انتشار تدوین شده است این مدل در حالت یک بعدی و دو بعدی با دو نوع شرط مرزی ن-وع اول) شرط دیریکله (و نوع سوم) شرط کوشی(، بصورت تحلیلی حل شده است
Over the past few decades, the application of mathematical models as efficient tools in study and management of mass transfer in porous media has been usual. The present model has been made using equations of advection, dispersion and diffussion modes of mass flow. This model has been solved analyticaly in one - dimensional and two - dimensional states using the first boundary condition (or Dirichlet condition) and the third boundary condition (or Causchy condition). If the uniform one - dimensional flow of liquid takes place in the medium, the first and third type boundary conditions show that the solute concentration distribution curves in one and two - dimensional states are approximately identical and in the absence of liquid flow, the third boundary condition shows the solute concenteration more than that the first boundary condition. In this analysis, the influences of different effective parameters in mass transfer such as the flow velocity, dispersion coefficient, retardation factor, and evaporation have been investigated. The effect of flow velocity on mass transfer is more than that of dispersion coefficient. The increase of retardation factor causes the delay and decrease of mass transfer and distribution. The existance of evaportion shows greater value of mass concentration in the medium. The comparison of the results of this approach to the results of some analytical and numerical approaches verifies the correctness of this approuch. Finally, by some consideration in this research work, the adaptation of solute transport and distribution in porous media with the normal statistical distribution is clarified.