A New Mathematical Model for Pressure Transient Analysis in Stress-Sensitive Reservoirs

Table 3

The fitting comparison between one-parameter exponential function model and improved power function model for core samples as reported by Vairogs et al. [7].

Sample name	𝑘𝑖, (10^−15 m^2)	Improved power function model; 𝑘/𝑘𝑖=(𝑝eff/𝑝𝑖eff)^−𝑚		One-parameter exponential function model; 𝑘/𝑘𝑖=exp[−𝛾(𝑝eff−𝑝𝑖eff)]
		𝑚	𝑅^2	𝛾, (10^−6 Pa^−1)	𝑅^2
Core A	191	0.033	0.952	0.001	0.995
Core B	15	0.076	0.984	0.003	0.915
Core C	1.7	0.099	0.999	0.003	0.820
Core D	0.186	0.248	0.996	0.011	0.821
Core E	0.04	0.494	0.962	0.040	0.986
Core F	4.14	0.921	0.993	0.108	0.987
Core G	0.48	0.577	0.994	0.127	0.952
Core H	0.15	0.940	0.995	0.121	0.980
Core I	0.14	0.452	0.967	0.038	0.976
Core J	0.377	0.633	0.975	0.074	0.992
Core K	0.0872	0.254	0.994	0.013	0.816
Average value	19.3909	0.430	0.983	0.049	0.931