apportion_wedge {streamDepletr}

Distribute streamflow depletion between two streams in a wedge-shaped aquifer.

Description

Distribute streamflow depletion between two streams in a wedge-shaped aquifer.

Usage

apportion_wedge(angle_total, angle_well)

Arguments

angle_total

angle [radians] between the two streams.

angle_well

angle [radians] from the first (lower boundary) stream and the well.

Details

This function assumes that streams are two linear tributaries which meet at the origin. This function specifically corresponds to Equations 18 and 19 in Yeh et al. (2008).

Value

A numeric of length two with the proportion of steady-state capture fraction from the first (lower) and second (upper) streams.

References

Yeh, HD, YC Chang, VA Zlotnik (2008). Stream depletion rate and volume from groundwater pumping in wedge-shaped aquifers. Journal of Hydrology 349(3): 501-511. doi:10.1029/2018WR022707.

Examples

apportion_wedge(angle_total = (50*pi/2), angle_well = (10*pi/2))

apportion_wedge(angle_total = (50*pi/2), angle_well = (25*pi/2))