thickness_hydrostatic#
- metpy.calc.thickness_hydrostatic(pressure, temperature, mixing_ratio=None, molecular_weight_ratio=0.6219569100577033, bottom=None, depth=None)#
Calculate the thickness of a layer via the hypsometric equation.
This thickness calculation uses the pressure and temperature profiles (and optionally mixing ratio) via the hypsometric equation with virtual temperature adjustment.
\[Z_2 - Z_1 = -\frac{R_d}{g} \int_{p_1}^{p_2} T_v d\ln p,\]Which is based off of Equation 3.24 in [Hobbs2006].
This assumes a hydrostatic atmosphere. Layer bottom and depth specified in pressure.
- Parameters
pressure (
pint.Quantity
) – Atmospheric pressure profiletemperature (
pint.Quantity
) – Atmospheric temperature profilemixing_ratio (
pint.Quantity
, optional) – Profile of dimensionless mass mixing ratio. If none is given, virtual temperature is simply set to be the given temperature.molecular_weight_ratio (
pint.Quantity
or float, optional) – The ratio of the molecular weight of the constituent gas to that assumed for air. Defaults to the ratio for water vapor to dry air. (\(\epsilon\approx0.622\))bottom (
pint.Quantity
, optional) – The bottom of the layer in pressure. Defaults to the first observation.depth (
pint.Quantity
, optional) – The depth of the layer in hPa. Defaults to the full profile if bottom is not given, and 100 hPa if bottom is given.
- Returns
pint.Quantity
– The thickness of the layer in meters
Notes
Only functions on 1D profiles (not higher-dimension vertical cross sections or grids). Since this function returns scalar values when given a profile, this will return Pint Quantities even when given xarray DataArray profiles.
Changed in version 1.0: Renamed
mixing
parameter tomixing_ratio