Publisher Summary This chapter describes the groundwater flow with dispersion of a solute. The chapter discusses the dispersion of the solute takes place in uniform flow. Uniform flow is defined as flow in a fixed direction with everywhere the same constant velocity. It is assumed that the uniform flow will not be disturbed by the dispersion of the solute. The chapter also discusses the dispersion in uniform flow. Though the groundwater flow is one-dimensional, the dispersion in general has a three-dimensional character. Only if the solute concentration is uniformly distributed over a cross-section perpendicular to the flow direction, one-dimensional dispersion is to be considered. Injection of a solute by means of a point well into uniform flow causes spreading of the solute in three directions: one is the flow direction and the other two perpendicular to it, yielding an axial-symmetric concentration distribution of the solute, as the coefficient of transversal dispersion DT is the same for the two directions perpendicular to the flow direction.