groundwater pumping to remediate groundwater pollution
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Groundwater pumping to remediate groundwater pollution. March 5, 2002. TOC . 1) Squares 2) FieldTrip: McClellan 3) Finite Element Modeling. First: Squares. Oxford Dictionary says “a geometric figure with four equal sites and four right angles”. Squares.

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Presentation Transcript
slide2
TOC
  • 1) Squares
  • 2) FieldTrip: McClellan
  • 3) Finite Element Modeling
first squares
First: Squares
  • Oxford Dictionary says
  • “a geometric figure with four equal sites and four right angles”
squares
Squares
  • Units within a flow net are curvilinear figures…
  • In certain cases, squares will be formed
    • Constant head boundary…
flownet1
Flownet
  • No flow crosses the boundary of a flowline !
  • If interval between equipotential lines and interval between flowlines is constant, then volume of water within each curvilinear unit is the same…
flow nets rules
Flow nets (rules)
  • Flowlines are perpendicular to equipotential lines
  • One way to assume that Q’s are equal is to construct the flownet with curvilinear squares
  • Streamlines are perpendicular to constant head boundaries
  • Equipotential lines are perpendicular to no-flow boundaries
flow nets rules 2
Flow nets (rules 2)
  • In heterogeneous soil, the tangent law is satisfied at the boundary
  • If flow net is drawn such that squares exist in one part of the formation, squares also exist in areas with the same K

a1

K1

K2

a2

how to determine the spacing of wells
How to determine the spacing of wells?
  • Determine feasible flow rates
  • Determine range of influence
  • Determine required decrease of water table
  • Calculate well spacings
confined aquifer
Confined Aquifer
  • Well discharge under steady state can be determined using
unconfined aquifer
Unconfined Aquifer
  • Well discharge under steady state can be determined using
unconfined aquifer1
Unconfined Aquifer
  • Well discharge under steady state WITH surface recharge can be determined using
what is optimal well design
What is optimal well design ?
  • In homogeneous soil:
in heterogeneous situation
In heterogeneous situation:
  • Wells have flow rate between 1 and 100 gpm
  • Some wells are in clay, others in sand
finite difference method
Finite Difference method
  • Change the derivative into a finite difference D
approach to numerical solutions
Approach to numerical solutions
  • 1) Subdivide the flow region into finite blocks or subregions (discretization) such that different K values can be assigned to each block and the differentials can be converted to finite differences
approach to numerical solutions1
Approach to numerical solutions
  • 2) Write the flow equation in algebraic form (using finite difference or finite elements) for each node or block
approach to numerical solutions2
Approach to numerical solutions
  • 3) Use “numerical methods” to solve the resulting ‘n’ equations in ‘n’ unknowns for h subject to boundary and initial conditions
1 d example
1-D example
  • Boundaries: h left = 10, h right = 3
  • Initial conditions h = 0
  • K is homogeneous = 3
  • Delta x = 2
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