Performance Analysis of Gas Wells Based on the Conventional Decline Parameters and the Flow Integral Equation

Table 6

(a) The analysis results of the decline parameter method for numerical cases with high pressure

High-pressure cases	Case 2-1	Case 2-2	Case 2-3	Case 2-4
(MPa)	64	52	40	24
(10^4 m^3/d)	2.027258	3.548412	5.073846	7.120844
(10^-4 d^-1)	6.193329	6.102143	6.059150	6.082153
	0.030078	0.071877	0.137588	0.258816
(10^8 m^3)	2.631125906	2.650991436	2.667464699	2.664141330
Error1 (%)	1.378	2.144	2.778	2.650
(10^-3 MPa/10^4 m^3)	2.028978209	2.028383845	2.028700879	2.028835081
(10^8 m^3)	2.596071194	2.596831903	2.596426085	2.596254338
Error2 (%)	0.027	0.057	0.041	0.035

(b) The analysis results of modified Stumpf method for numerical cases with high pressure

High-pressure cases	Case 2-1	Case 2-2	Case 2-3	Case 2-4
(MPa)	64	52	40	24
(10^4 m^3/d)	2.033103	3.563958	5.098227	7.158882
(10^-4 d^-1)	6.280879	6.229761	6.194982	6.235047
	0.042862	0.090699	0.157294	0.281530
(10^8 m^3)	2.610138552	2.623031736	2.639488727	2.673866274
Error3 (%)	0.569	1.066	1.700	3.025