All the parameters on the right hand side of these equations are known. Therefore
the polar coordinates with respect to the ASR well or (ri2', Oi3) can be determined for
point P located on the injected/ambient water interface.
Assuming the injection process continues for successive time intervals of At
until At = T, the displacement of point P along with a sufficient number of fluid
particles (points) on a front (different values for O6i in Figure 3-1) maybe traced or
followed such that the position of the front can be ascertained. By considering the
displacement of multiple particles during small time intervals of At, the coordinates are
known for several points like P that define the front at the end of injection time (Ti). Due
to symmetry of the injected volume, values of Oi between 0 and 7n also represent the
values of Oi between 0 and -7t (-Oi).
Direction of Regional
Groundwater Flow/ rin'
ASR Well
rin'
Figure 3-5. Position and shape of the interface after injection period (t=Ti).
Figure 3-5 illustrates a typical position and shape of the interface after injection
period (t=Ti), where: