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 profile
temperature (pint.Quantity) – Atmospheric temperature profile
mixing_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