Optimal Inflow Performance Relationship Equation for Horizontal and Deviated Wells in Low-Permeability Reservoirs

Table 3

Fitting values of undetermined parameters of inflow performance equations for different types of inclined wells.

Type	Parameter	Inclination angle
		0°	15°	30°	45°	60°	75°	85°	88.56°	90°
1	Equation
		0.99981	0.99980	0.99691	0.99455	0.99257	0.99152	0.99151	0.99141	0.98845
		0.20080	0.22095	0.12536	0.02214	-0.05487	-0.100230	-0.11199	0.11411	-0.20545
		0.79883	0.77832	0.86818	0.96632	1.03951	1.08287	1.09417	1.09639	1.18182
		1.00000	1.00000	0.99996	0.99986	0.99976	0.99970	0.99969	0.99970	0.99943
2	Equation
		0.99998	1.00006	1.00040	1.00079	1.00087	1.00084	1.00095	1.00086	1.00136
		0.20447	0.22677	0.19835	0.14755	0.10807	0.08101	0.07164	0.06974	0.03726
		0.79546	0.77296	0.80146	0.85221	0.89170	0.91867	0.92781	0.92983	0.96297
		2.00612	2.01001	2.12511	2.20695	2.26093	2.28354	2.28453	2.28418	2.37119
		1.00000	1.00000	1.00000	0.99999	0.99999	0.99999	0.99999	0.99999	0.99999
3	Equation
		0.97383	0.97125	0.97901	0.98918	0.99729	1.00252	1.00412	1.00440	1.01443
		1.07623	1.08297	1.03468	0.98651	0.95291	0.93416	0.92877	0.92869	0.88890
		0.99873	0.99845	0.99926	0.99983	0.99996	0.99989	0.99986	0.99984	0.99928
4	Equation
		0.99983	1.00005	0.99893	0.99812	0.99722	0.99668	0.99719	0.99727	0.99537
		0.20105	0.22471	0.15410	0.06921	0.00311	-0.03811	-0.04439	-0.04432	-0.12852
		0.79864	0.77528	0.84536	0.92983	0.99547	1.03633	1.04371	1.04430	1.12610
		1.00021	1.00311	1.02495	1.04322	1.05571	1.06141	1.06741	1.06974	1.08173
		1.00000	1.00000	0.99999	0.99998	0.99996	0.99995	0.99995	0.99995	0.99990
5	Equation
		1.00010	0.99997	0.99994	1.00005	0.99986	0.99990	0.99982	0.99983	1.00001
		0.20626	0.22125	0.17161	0.10591	0.05577	0.03011	0.01329	0.01690	-0.02625
		0.78106	0.78794	0.75557	0.76221	0.77188	0.75318	0.79508	0.76495	0.73091
		0.01865	-0.02681	0.05808	0.10548	0.13423	0.19600	0.14161	0.19716	0.26321
		-0.00583	0.01748	0.01457	0.02622	0.03788	0.02040	0.04953	0.02040	0.03205
		1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
6	Equation
		1.28731	1.29955	1.25344	1.19596	1.17106	1.15712	1.15336	1.13851	1.13049
		0.26947	0.28265	0.23318	0.17532	0.14796	0.13282	0.12868	0.11810	0.10358
		1.57272	1.53367	1.68847	1.92981	2.07920	2.17630	2.20507	2.28252	2.40374
		0.99911	0.99920	0.99909	0.99888	0.99864	0.99844	0.99838	0.99824	0.99806
7	Equation
		1.00002	0.99999	0.99998	1.00000	0.99997	0.99998	0.99998	0.99998	0.99998
		0.19009	0.27680	0.17409	0.07000	0.07535	0.02221	0.02088	-0.00095	-0.03362
		1.05611	-0.37791	0.74178	1.55253	0.44541	1.04504	0.80697	1.37156	0.86277
		14.00211	-58.99156	0.82784	49.58385	-16.13077	23.18914	8.04119	46.75339	7.29149
		-13.5795	57.24579	-0.67021	-47.55929	15.81206	-21.89913	-7.28745	-44.3826	-6.80887
		-0.82033	3.54701	-0.11652	-3.40044	0.96540	-1.79647	-0.83814	-3.61157	-0.39675
		0.15156	-0.70018	0.04292	0.75325	-0.16753	0.43915	0.25641	0.87007	0.08486
		1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000