Semianalytical Solution of the Nonlinear Dual-Porosity Flow Model with the Quadratic Pressure Gradient Term

Table 1

Theoretical offset of type curves between the linear and nonlinear models ().

			DV	RDV (%)			DV	RDV (%)
	Linear	Nonlinear			Linear	Nonlinear
10^−1	0.0445	0.0445	0	0	0.0436	0.0436	0	0
10^1	1.9772	1.9397	0.0375	1.90	0.9454	0.9003	0.0451	4.77
10^3	4.9392	4.6066	0.3326	6.73	0.5076	0.4395	0.0681	13.42
10^5	7.0647	6.3938	0.6709	9.50	0.3588	0.2924	0.0664	18.51
10^7	8.9812	7.9242	1.0570	11.77	0.4995	0.3887	0.1108	22.18

Explanations: = dimensionless coefficient of nonlinear term; = dimensionless time; = dimensionless wellbore storage coefficient; = dimensionless pressure; = dimensionless pressure derivative; DV = differential value; RDV = relative differential value. Quantitative analysis of the nonlinear influence is made by setting as 0.01, and the corresponding type curves (curves ②) are shown in Figure 1.