dpdp

    Double porosity / double permeability formulation. There are two sets of parameter values at any nodal position, for which property values must be defined. Nodes 1 to N (see macro coor for definition of N) represent the fracture nodes and nodes N + 1 to 2N the matrix material. When zones are used with the dpdp macro, additional zones are automatically generated. See instructions for the macro zone for a more detailed description. The dpdp parameters are only defined for the first N nodes.

    Input Variable Format Default Description
    IDPDP integer   Solution descriptor for double porosity/double permeability solution. IDPDP = 0, information is read but not used. IDPDP ≠ 0, dpdp solution is implemented.
    VOLFD1 real
    		Volume fraction for fracture node.
    APUV1 real
    		Half spacing between fractures (m). See TRANSFLAG in macros MPTR and PTRK.

    The volume fraction VOLFD1 is related to the total volume by

    \(VOLFD1 + VOLLFD2 = 1.0\)

    where VOLFD2 is the volume fraction of the matrix node. If permeability model IRLP = 4 is selected in control statement rlp, VOLFD1 is calculated from RP15 (fracture porosity) in that control statement.

    The following is an example of dpdp. In this example, the dual porosity/permeability solution is implemented for all nodes from 1 through 140. The fractional volume in the fractures (compared to the total volume) is 0.005 and the length scale for matrix nodes is 0.1 m.

    dpdp
1
1 140 1 0.005

1 140 1 0.10

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