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The law of water balance states that the inflows to any water system or area is equal to its outflows plus change in storage during a time interval. [ 2 ] [ 3 ] In hydrology , a water balance equation can be used to describe the flow of water in and out of a system.
The hydrology of a linear reservoir (figure 1) is governed by two equations. [1] flow equation: =, with units [L/T], where L is length (e.g. mm) and T is time (e.g. h, day) continuity or water balance equation: = +, with units [L/T] where: Q is the runoff or discharge
Example of a surface water balance: An example is given of surface runoff according to the Curve number method. [3] The applicable equation is: Osu = (Rai – Ws) 2 / (Pp – Ws + Rm) where Rm is the maximum retention of the area for which the method is used Normally one finds that Ws = 0.2 Rm and the value of Rm depends on the soil ...
These two equations agree with each other and follow the water balance equation. According to the equations, a basin with high drainage density, the contribution of surface runoff to stream discharge will be high, while that from baseflow will be low.
Infiltration is a component of the general mass balance hydrologic budget. There are several ways to estimate the volume and water infiltration rate into the soil. The rigorous standard that fully couples groundwater to surface water through a non-homogeneous soil is the numerical solution of Richards' equation.
A mass balance must be performed, and used along with Darcy's law, to arrive at the transient groundwater flow equation. This balance is analogous to the energy balance used in heat transfer to arrive at the heat equation. It is simply a statement of accounting, that for a given control volume, aside from sources or sinks, mass cannot be ...
A fundamental equation in ecohydrology is the water balance at a point in the landscape. A water balance states that the amount water entering the soil must be equal to the amount of water leaving the soil plus the change in the amount of water stored in the soil.
Spacing equations of subsurface drains and the groundwater energy balance applied to drainage equations [5] are examples of two-dimensional groundwater models. Three-dimensional models like Modflow [6] require discretization of the entire flow domain. To that end the flow region must be subdivided into smaller elements (or cells), in both ...