omega_norm

Dimensionless frequency from diffusivity and depth

Provides tools to calculate the theoretical hydrodynamic response
of an aquifer undergoing harmonic straining or pressurization, or analyze
measured responses. There are
two classes of models here, designed for use with confined
aquifers: (1) for sealed wells, based on the model of
Kitagawa et al (2011, <doi:10.1029/2010JB007794>),
and (2) for open wells, based on the models of
Cooper et al (1965, <doi:10.1029/JZ070i016p03915>),
Hsieh et al (1987, <doi:10.1029/WR023i010p01824>),
Rojstaczer (1988, <doi:10.1029/JB093iB11p13619>),
Liu et al (1989, <doi:10.1029/JB094iB07p09453>), and
Wang et al (2018, <doi:10.1029/2018WR022793>). Wang's
solution is a special exception which
allows for leakage out of the aquifer
(semi-confined); it is equivalent to Hsieh's model
when there is no leakage (the confined case).
These models treat strain (or aquifer head) as an input to the
physical system, and fluid-pressure (or water height) as the output. The
applicable frequency band of these models is characteristic of seismic
waves, atmospheric pressure fluctuations, and solid earth tides.

Andrew Barbour

kitagawa

Spectral Response of Water Wells to Harmonic Strain and Pressure
Signals

Jonathan Kennel

omega_norm function

<dl><dt>omega</dt>
<dd>numeric; angular frequency</dd>
<dt>Diffusiv</dt>
<dd>numeric; hydraulic diffusivity</dd>
<dt>z</dt>
<dd>numeric; depth</dd>
<dt>invert</dt>
<dd>logical; should <code>omega</code> be taken as normalized
frequency?</dd></dl>

Arguments

A. J. Barbour &lt;andy.barbour@gmail.com&gt;

Author

Dimensionless frequency from diffusivity and depth — omega_norm

<dl>

<dt>omega</dt>
<dd>numeric; angular frequency</dd>


<dt>Diffusiv</dt>
<dd>numeric; hydraulic diffusivity</dd>


<dt>z</dt>
<dd>numeric; depth</dd>


<dt>invert</dt>
<dd>logical; should <code>omega</code> be taken as normalized
frequency?</dd>

</dl>

omega_norm: Dimensionless frequency from diffusivity and depth

Description

Usage

Value

Arguments

Author

Details

See Also