Introduction
According to M. Burgoyne [2018], the Lorenz Coefficient has provided a practical way to quantify layered permeability heterogeneity. Generally considered easy to calculate from a set of permeability and porosity measurements (bounded between 0 – 1 by definition), it has provided a useful way to represent as a single value to describe the degree of heterogeneity in the productivity versus storativity relationship that exists for a given data set.
For completely homogenous system, the Lorenz Coefficient = 0. For maximum heterogeneity, the value approaches 1.0. It describes the departure from uniformity or constancy of that particular measured property through the thickness of the reservoir.
Application to AFA
M. Burgoyne [2018], one could use a specified value of the Lorenz Coefficient to describe or calculate amount of heterogeneity (i.e. kh distribution) over several layers represented by n layers with a total kh.
References:
https://www.linkedin.com/pulse/loving-lorenz-new-life-old-parameter-mark-burgoyne/