View source: R/alpha_constants.R
alpha_constants | R Documentation |
\alpha
This function accesses the appropriate method to calculate the
\alpha
-dependent constant associated with the choice of c.type
.
There are currently four such constants, which correspond to
Equations 10, 11, 18, 19 in Kitagawa et al (2011).
This function is not likely to be needed by the user.
alpha_constants(alpha = 0, c.type = c("Phi", "Psi", "A", "Kel"))
## Default S3 method:
alpha_constants(alpha = 0, c.type = c("Phi", "Psi", "A", "Kel"))
alpha |
the constant alpha (see |
c.type |
the constant to calculate |
"alpha"
?The constant \alpha
is a function of frequency \omega
as well
as aquifer and well parameters; it is formally defined as
\alpha \equiv R_S \sqrt{\omega S / T}
where S
is the storativity, T
is the aquifer's effective
transmissivity, and R_S
is the radius of the screened portion
of the well.
The various constants which may be calculated with this function are
Phi
Given as \Phi
in Eqn. 10
Psi
Given as \Psi
in Eqn. 11
A
Given as A_i, i=1,2
in Eqns. 18, 19
Kel
The complex Kelvin functions (see Abramowitz and Stegun, 1972)
Complex matrix having values representing the constant
represented by c.type
,
as well as any other \alpha
-dependent constants
which are needed in the computation.
A. J. Barbour <andy.barbour@gmail.com>
omega_constants
, well_response
Other ConstantsCalculators:
kitagawa-constants
,
omega_constants()
alpha_constants() # kelvin::Keir gives warning
alpha_constants(1) # defaults to constant 'Phi' (note output also has Kel)
alpha_constants(1:10, c.type="A") # constant 'A' (again, note output)
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