The material balance equation, for a gas reservoir, can be described graphical by a linear relation between P/z and cumulative production (Dake, Fundamentals p 25 -29). Key underlying assumptions, for tight gas reservoirs, are;
The time required for these assumptions to be satisfied increases with decreasing permeability. Thus, in tight gas reservoirs it can take a considerably length of time for steady conditions to be established and for representative pressure measurements to be acquired.
In the SPE paper 36702 the impact of heterogeneity on the P/z plot of a tight gas reservoir was investigated using numerical modelling. The results show a significant impact on the plot for the 5 scenarios considered. The P/z plots are consistently non-linear. In the case of a random distribution of high and low permeability grid blocks there is an initial dramatic high gradient line.
The overall character;

has been observed in UKCS Tight gas reservoirs.