LeakyWall#

class timflow.transient.linedoublet.LeakyWall(model, x1=-1, y1=0, x2=1, y2=0, res='imp', order=0, layers=0, label=None, addtomodel=True)#

Bases: LineDoubletHoBase, timflow.transient.equation.LeakyWallEquation

Create a segment of a leaky wall, which is simulated with a line-doublet.

The specific discharge through the wall is equal to the head difference across the wall divided by the resistance of the wall.

Parameters:

model (Model object) – Model to which the element is added
x1 (scalar) – x-coordinate of fist point of line-doublet
y1 (scalar) – y-coordinate of fist point of line-doublet
x2 (scalar) – x-coordinate of second point of line-doublet
y2 (scalar) – y-coordinate of second point of line-doublet
res (scalar or string) – if string: ‘imp’ for an impermeable wall (same as res = np.inf) if scalar: resistance of leaky wall
order (int (default is 0)) – polynomial order of potential jump along line-doublet (head jump if transmissivity is equal on each side of wall)
layers (scalar, list or array) – layer(s) in which element is placed if scalar: element is placed in this layer if list or array: element is placed in all these layers
label (str or None) – label of element

See also

LeakyLineDoubletString

initialize()#

Initialize the element.

Initialization of terms that cannot be initialized before other elements or the aquifer is defined.

As we don’t want to require a certain order of entering elements, these terms are initialized when Model.solve is called The initialization class needs to be overloaded by all derived classes

setflowcoef()#: Separate function so that this can be overloaded for other types.

potinf(x, y, aq=None)#: Can be called with only one x,y value.

disvecinf(x, y, aq=None)#: Can be called with only one x,y value.

plot(ax=None, layer=None)#: Plot the element.

potential(x, y, aq=None)#: Returns complex array of size (ngvbc, naq, npval).

unitpotential(x, y, aq=None)#

Returns complex array of size (naq, npval).

Can be more efficient for given elements.

unitpotentialone(x, y, jtime, aq=None)#

Returns complex array of size (naq, npval).

Can be more efficient for given elements.

disvec(x, y, aq=None)#: Returns 2 complex arrays of size (ngvbc, naq, npval).

unitdisvec(x, y, aq=None)#

Returns 2 complex arrays of size (naq, npval).

Can be more efficient for given elements.

potinflayers(x, y, layers=0, aq=None)#

Layers can be scalar, list, or array.

returns array of size (len(layers),nparam,npval) only used in building equations

potentiallayers(x, y, layers=0, aq=None)#

Returns complex array of size (ngvbc, len(layers),npval).

Only used in building equations.

unitpotentiallayers(x, y, layers=0, aq=None)#

Returns complex array of size (len(layers), npval).

Only used in building equations.

disvecinflayers(x, y, layers=0, aq=None)#

Layers can be scalar, list, or array.

returns 2 arrays of size (len(layers),nparam,npval) only used in building equations

disveclayers(x, y, layers=0, aq=None)#

Returns 2 complex array of size (ngvbc, len(layers), npval).

Only used in building equations.

unitdisveclayers(x, y, layers=0, aq=None)#

Returns complex array of size (len(layers), npval).

Only used in building equations.

discharge(t, derivative=0)#

The discharge in each layer.

Parameters:

t (scalar, list or array) – times at which discharge is computed. t must be ordered and tmin <= t <= tmax
derivative (when derivative=0, returns discharge (default)) – when derivative=1, returns derivative of the discharge when derivative=-1, returns integrated discharge

Returns:

Discharge in each screen with zeros for layers that are not screened

Return type:

array of discharges (nlayers,len(t))

dischargeold(t, derivative=0)#

The discharge in each layer.

Parameters:: t (scalar, list or array) – times at which discharge is computed. t must be ordered and tmin <= t <= tmax
Returns:: Discharge in each screen with zeros for layers that are not screened
Return type:: array of discharges (nlayers,len(t))

run_after_solve()#

Function to run after a solution is completed.

For most elements nothing needs to be done, but for strings of elements some arrays may need to be filled.

equation()#

Mix-in class that returns matrix rows for leaky-wall condition.

Returns matrix part (nunknowns,neq,npval), complex Returns rhs part (nunknowns,nvbc,npval), complex.