The Adsorption and filtration of waste water in an isothermal column of granular activated carbon has been mathematically modeled. Based on this model, a simulation program was prepared and coded in Fortran IV to be run on the IBM 360/50 level G compiler. A separate companion study was conducted on the filtration of a clay suspension in an activated carbon bed to provide a filtration rate equation. The equation so obtained was then assumed to represent the filtration rate equation of the waste water. Adsorption, then was considered to be controlled by a combination of liquid phase diffusion and intraparticle diffusion. These two phenomena were then approximated by a solid phase rate expression based upon Glueckauf's linear driving force. In addition to adsorption and filtrations, the effects of backwashing and regeneration were also included in the model. A newly developed algorithm was used for the numerical integration of the pertinent characteristic normal hyperbolic equations. The design of the program allowed a clear separation of calculation framework and column model. This separation was made to permit new discoveries and new theories to be adapted to the basic program with minimal difficulty. The incompleteness and uncertainty of current theories of the carbon contact process will almost certainly make the ease of adaption the most important feature of the program.