induce_infiltration_rate function

Calculate the pumping rate at which pumping will induce infiltration from stream.

induce_infiltration_rate(d, Qa)

Arguments

• d: distance from well to stream [L]
• Qa: ambient groundwater inflow rate per unit length of stream [L2/T]

Returns

A numeric of Qc, critical pumping rate above which induced infiltration due to groundwater pumping will occur [L3/T].

Details

This calculates the critical pumping rate above which induced infiltration due to groundwater pumping will occur, based on the glover model of streamflow depletion. Derived in Wilson (1993) Eq. 5.

Assumptions:

• Groundwater flow is perpendicular to stream
• Horizontal flow >> vertical flow (Dupuit assumptions hold)
• Homogeneous, isotropic aquifer
• Constant Tr: Aquifer is confined, or if unconfined change in head is small relative to aquifer thickness
• Stream is straight, infinitely long, and remains in hydraulic connection to aquifer
• Constant stream stage
• No changes in recharge due to pumping
• No streambank storage
• Constant pumping rate
• Aquifer extends to infinity
• Stream fully penetrates through aquifer
• No streambed resistance to flow (see hunt or hantush for streambed resistance)

Examples

induce_infiltration_rate(d = 100, Qa = 10)
induce_infiltration_rate(d = 100, Qa = 50)
induce_infiltration_rate(d = 500, Qa = 50)

References

Wilson, JL (1993). Induced Infiltration in Aquifers with Ambient Flow. Water Resources Research 29(10): 3503-12. doi:10.1029/93WR01393.