Establishment of a New Production Decline Equation and Its Theoretical Basis: A Case Study of Unconventional Reservoirs in Tuha Oilfield

doi:10.7657/XJPG20240608

Abstract

Abstract:

The Duong production decline model and modified Duong production decline model widely used for unconventional oil and gas reservoirs are disadvantageous in some aspects, such as incorrect definitions of characteristic parameters, inability to take zero as an independent variable, and lack of flow theoretical basis as a mathematical model. To address these problems, a new production decline equation was proposed by improving the mathematical model of relative permeability of oil phase in fractured reservoirs, and integrating the more applicable water phase relative permeability relational expression and the Welge equation. The new equation is similar in form to the modified Duong model, and can be transformed into the Arps production decline equation when the characteristic parameter A is zero, indicating that the new equation is a generalized production decline equation. The application of the new equation to the tight tuff oil reservoir of the Tiaohu formation in Block Ma56 of Tuha oilfield demonstrated a favorable effect, providing a valuable reference for similar unconventional reservoirs.

Key words: new production decline equation, generalizability, Duong model, Arps production decline, oil/water relative permeability

CLC Number:

TE341

JI Fei, SUN Xinxin, ZHANG Qi. Establishment of a New Production Decline Equation and Its Theoretical Basis: A Case Study of Unconventional Reservoirs in Tuha Oilfield[J]. Xinjiang Petroleum Geology, 2024, 45(6): 696-702.

Figures/Tables 7

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井名	岩样编号	（10）式			（11）式
井名	岩样编号	n	b	相关系数	K_w（S_or）	m	c	d	相关系数
萨103井	3	-1.990 0	0.901 2	0.916 9	0.385 4	1.996 0	0.848 7	1.151 4	0.999 2
	9	-1.754 0	0.896 6	0.927 3	0.256 2	2.249 3	0.331 6	1.106 5	0.996 1
	35	-1.832 0	0.890 0	0.938 1	0.338 4	1.570 2	1.735 1	0.805 8	0.998 9
	43	-1.355 5	0.967 4	0.948 5	0.345 9	1.939 0	1.380 1	1.085 6	0.994 9
	83	-1.712 9	0.917 6	0.939 8	0.354 2	2.410 2	-0.104 1	1.063 5	0.999 9
	105	-1.381 1	0.921 9	0.951 0	0.370 4	1.865 8	0.453 8	1.116 3	0.998 5
红旗3303导井	5-25/41	-4.041 6	0.932 4	0.845 3	0.192 6	1.521 9	-0.209 2	1.567 3	0.999 5
	6-13/40	-2.062 3	0.944 4	0.920 0	0.219 3	0.782 5	1.598 7	0.692 2	0.998 5
	6-27/40	-3.060 6	0.902 3	0.884 3	0.208 1	1.032 4	0.583 5	0.392 4	0.996 0
	1-21/62	-1.979 2	0.989 4	0.929 3	0.168 9	0.992 8	1.570 6	1.417 5	0.994 0
	1-37/62	-2.781 9	0.980 1	0.886 1	0.197 9	2.285 4	-1.726 2	0.729 2	0.999 5

井名	岩样编号	k	l	相关系数	k（1-S_or）	S_or
萨103井	3	1.485 4	-0.304 9	0.999 5	-0.185 4	0.382 0
	9	1.620 8	-0.434 0	0.999 4	-0.191 8	0.309 0
	35	1.571 7	-0.371 3	0.999 5	-0.204 7	0.358 0
	43	1.707 7	-0.501 8	0.999 2	-0.210 2	0.297 0
	83	1.548 7	-0.412 8	0.998 0	-0.138 8	0.253 0
	105	1.670 4	-0.467 1	0.999 3	-0.207 2	0.309 0
红旗3303 导井	5-25/41	1.338 0	-0.213 6	0.999 6	-0.127 8	0.378 0
	6-13/40	1.829 0	-0.454 3	0.999 1	-0.378 0	0.456 0
	6-27/40	1.528 0	-0.334 9	0.999 5	-0.195 9	0.371 0
	1-21/62	1.989 2	-0.668 4	0.999 0	-0.322 5	0.326 0
	1-37/62	1.475 3	-0.323 8	0.999 3	-0.155 9	0.328 0

产量递减方程	q_i	m	A/b	D_i	相关系数
Duong	1 175.764 3	0.507 7			0.929 6
修正Duong	608.432 0	0.040 7	-0.032 0		0.972 7
本文新型方程	548.703 5	0.256 8	-0.289 3	-9.231 1	0.989 4
Arps	669.292 5	0.670 9		0.057 8	0.984 1