Modelling of Subsurface Seepage Over Sloping Aquifer in Ditch Drain System Without Vertical Recharge

Abstract

The new analytical solution specifying water head and flow rate of ground water flow equation in downward sloping aquifer interacting with water streams of varying height is obtained by using inverse Laplace transform method. Principle aim of this article intend to depict unfolding of futuristic new analytical result for water head as well as volume velocity at both interfaces of downward inclined ditch drain aquifer system. Here new analytical expression of Boussinesq equation in its Linearization form representing transient ground water transport mechanism downhill inclined aquifer of unconfined type of meagre domain area is derived. It’s connected to adjoining ditches of varying water level at both ends. Depth of water in ditches changes from initial altitude to final altitude and is approximated by exponential decay function of time.An analytical solution of governing ground water flow equation in linearization form with specified boundary conditions is solved by adopting integral transform methodology namely Laplace transform. By employing numerical methodology solution of correlated nonlinear version is deduced. Impact of linearization of nonlinear governing equation, recharge and slope of impermeable barrier on water variation in flow region of finite extent is elaborated taking aid of the various numerical. Innovations of head response over small changes in every hydraulic variables of unsteady fluid transport are effectuated through sensitivity analysis of transient flow. These solutions in turn utilized in prediction of water depth in relation with asymptotic conditions. Relation between flow rate and sloping angle of aquifer is explained graphically. In addition, sensitive analysis of hydraulic head, flow rate of different aquifer parameters is also explained. Ground water mound and its spatial location are computed using iterative scheme.