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

Table 2

The fitting comparison between one-parameter exponential function model and improved power function model for core samples from 𝑌 field.

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
Y1	0.19	0.385	0.943	0.020	0.888
Y2	3.18	0.095	0.940	0.005	0.824
Y3	16.8	0.052	0.981	0.003	0.901
Y4	46.8	0.038	0.977	0.002	0.885
Y5	79.5	0.025	0.991	0.001	0.920
Y6	137.0	0.040	0.990	0.002	0.920
Average value	47.245	0.106	0.970	0.006	0.890