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Boundaries and Superposition. Groundwater Hydraulics Daene C. McKinney. Introduction. Review Continuity in Aquifers Steady flow to a well in confined aquifer Superposition Two Wells in an Aquifer Image Well for an Impermeable Boundary for a Constant Head Boundary

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boundaries and superposition

Boundaries and Superposition

Groundwater Hydraulics

Daene C. McKinney

introduction
Introduction
  • Review
    • Continuity in Aquifers
    • Steady flow to a well in confined aquifer
  • Superposition
  • Two Wells in an Aquifer
  • Image Well
    • for an Impermeable Boundary
    • for a Constant Head Boundary
  • Multiple Wells in an Aquifer
continuity in aquifers
Continuity in Aquifers
  • Confined aquifer
  • Unconfined aquifer
  • Linear equations
    • If h1 and h2 both satisfy a linear equation
    • Then another solution is

h3 = Ah1 + Bh2

    • where A and B are constants

(For unconfined aquifer, everything is in terms of h2)

steady flow to a well in a confined aquifer
Steady Flow to a Well in a Confined Aquifer

Q

Ground surface

Pre-pumping

head

Pumping well

Drawdown curve

Observation wells

Confining Layer

h0

r1

hw

h2

b

h1

Q

Confined aquifer

r2

Bedrock

2rw

Point of interest (x,y)

Well at = (xw,yw)

steady flow to a well in an unconfined aquifer
Steady Flow to a Well in an Unconfined Aquifer

Q

Ground surface

Pre-pumping

Water level

Pumping well

Water Table

Observation wells

h0

r1

hw

h2

h1

Q

Unconfined aquifer

r2

Bedrock

2rw

example1
Example

Q = 2x10-2 m3/s, T = 5x10-3 m2/s, Ho = 25 m, rw = 0.25 m

y

x

600 m

slide11

Well 1

pumping alone

Well 2

pumping alone

Both wells

pumping together

example2
Example
  • How much does the pumping in well 2 affect the head in well 1?
  • With both wells pumping
  • With only Well 1 pumping
  • Difference = 1.54 m

x

summary
Summary
  • Review
    • Continuity in Aquifers
    • Steady flow to a well in confined aquifer
  • Superposition
  • Two Wells in an Aquifer
  • Image Well
    • for an Impermeable Boundary
    • for a Constant Head Boundary
  • Multiple Wells in an Aquifer