Numerical Solution of a 3-D Advection-Dispersion Model for Dissolved Oxygen Distribution in Facultative Ponds

Abstract

Abstract. This paper describes a mathematical model for the dissolved oxygen distribution in the plane of a facultative pond with a certain depth. The purpose of this paper is to determine the variation of dissolved oxygen concentration in facultative ponds. The 3-dimensional advectiondiffusion equation is solved using the finite difference method Forward Time Central Space (FTCS). Numerical results show that the aerator greatly affects the occurrence of oxygen concentration variations in the facultative pond in the certain depth. The concentration of dissolved oxygen decreases as the depth of the pond increases.

Parameter Estimation on Two-Dimensional Advection-Dispersion Model of Biological Oxygen Demand in Facultative Waste Water Stabilization Pond: Case Study at Sewon Wastewater Treatment Facility

“…There were many pieces of researches conducted to solve and to apply the advection-dispersion model. For examples, an advectiondispersion rule was applied for analyzing of transport of leaking CO2-saturated brine along a fractured zone [8], a fractional advection-dispersion model was applied for hillslope tracer analysis, and a 3D advection-dispersion model was used to analyze the distribution of dissolved oxygen in a facultative pond [9]. The analytical solution of a partial differential equation is commonly not easy to find.…”