Wikipedia:

Integral energy

Integral energy is the amount of energy required to remove water from an initial water content θi to water content of θf (where θi > θf). It is calculated by integrating the water retention curve, soil water potential ψ(θ) with respect to θ:

E_i = \int_{\theta_i}^{\theta_f} \frac{1}{\theta_i-\theta_f}  \psi(\theta)\, d\theta

It is proposed by Minasny and McBratney (2003) as alternative to available water capacity. (AWC) The AWC concept assumes equal availability of water between two potentials and does not consider the path along the water retention curve. Integral energy takes into the account the path or energy (characterised by water retention curve) required to dry a soil at particular soil moisture content

Reference

Minasny, B., McBratney, A.B., 2003. Integral energy as a measure of soil-water availability. Plant and Soil 249(2), 253-262.

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