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Moench’s solutions

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Moench’s solutions

The implemented Moench solutions calculate drawdowns in fractures and in blocks of fractured-porous media for various shapes of blocks and fractures. ANSDIMAT uses algorithm of DP_LAQ code (A.F. Moench, 1990) for parameter estimation.

See: Moench A.F. Double-porosity models for a fissured groundwater reservoir with fracture skin // Water Resources Research. 1984. Vol. 20, N 7. P. 831–846.

Solutions are available for the following types of the porous media: 1) slab-shaped blocks, 2) sphere-shaped blocks; 3) orthogonal fracture system (model of Warren-Root).

 

 

                         

 

 

 

 

The figure above shows the slab-shaped blocks and the sphere-shaped blocks. The figure below shows the orthogonal fracture system.

 

 

z – distance from the block center to the fracture; the point in which drawdown is calculated is specified in the "Offset" editor.

 

Unsteady-state flow equations

1. Drawdown in fracture (s) and block (s') for slab-shaped blocks and sphere-shaped blocks

2. Drawdown in the aquifer with orthogonal fracture system

Solutions take into account storage capacity and skin effect of the pumping well. For slab-shaped blocks and sphere-shaped blocks skin effect in the fracture is additionally accounted for.

 

 

Laplace transform solution

Drawdown in fracture

Drawdown in pumping well

 

 

drawdown in block

Slab-shaped blocks

Sphere-shaped blocks

 

Model Warren-Root: drawdown in observation well

and pumping well

 

The table below explains notations for Moench’s solutions

Parameter

Explanation

Hydraulic conductivity of the fracture system , m/day

Hydraulic conductivity of the block system, m/day

Hydraulic conductivity of an "average" fracture, m/day

Hydraulic conductivity of an "average" block, m/day

Specific storage of the fracture system, 1/m

Specific storage of the block system, 1/m

Specific storage of an "average" fracture, 1/m

Specific storage of an "average" block, 1/m

Volume of the fracture system, m3

Volume of the block system, m3

Total volume, m3