闭合酸蚀裂缝导流能力模拟研究

Abstract

Abstract:

The conductivity of acid cracks was the key to the transformation effects of acid fracturing. Due to the influences of rock properties, etching morphology and closing pressure, it was difficult to accurately predict the conductivity of acid fractures. Currently, there were many computational models for acid fractures geometry and acid penetration distance, but there were few researches on the computational model of flow capacity. For this reason, we built the acid fracturing model of cracks based on the improved self-affine fractal theory and applied it to the fractal fractures. And then, by the local cubic law（LCL）, we built the acid fracture conductivity calculation model and applied the quadrature analysis to the main factors which affected the conductivity of the acid fracture after closure. The results showed that the influencing degree of those factors which affected the acid fracture conductivity were as follows: closure stress>fractal dimension>injection time>matrix permeability>injection rate>standard deviation>matrix porosity.

Key words: fractal theory, acid cracks, acid fracturing simulation, conductivity

CLC Number:

TE357.2

Liqiang Zhao,Weijie Miao,Zhifeng Luo, et al. Simulation study on conductivity of closed acid cracks[J]. Reservoir Evaluation and Development, 2019, 9(2): 25-32.

Figures/Tables 9

Fig. 1

Fig. 2

Table 1

Fig. 3

Fig. 4

Fig. 5

Table 2

Table 3

Orthogonal test order and results"

水平数	影响因素							闭合酸蚀裂缝导流能力/ （μm² $·$ cm）
水平数	分形维数	标准偏差/ m	岩石基质渗透率/ 10^-3μm²	岩石基质孔隙度, %	注酸排量/ （m³·min^-1）	注酸时间/ min	闭合压力/ MPa	闭合酸蚀裂缝导流能力/ （μm² $·$ cm）
1	2.0	0.000 010	5	5	2.0	10	55	28.82
2	2.0	0.000 012	10	7.5	2.5	20	60	12.84
3	2.0	0.000 014	15	10	3.0	30	65	40.49
4	2.0	0.000 016	20	12.5	3.5	40	70	33.50
5	2.0	0.000 018	25	15	4.0	50	75	63.24
6	2.0	0.000 020	30	17.5	4.5	60	80	82.92
7	2.25	0.000 010	10	10	3.5	50	80	11.51
8	2.25	0.000 012	15	12.5	4.0	60	55	8.36
9	2.25	0.000 014	20	15	4.5	10	60	15.35
10	2.25	0.000 016	25	17.5	2.0	20	65	28.24
11	2.25	0.000 018	30	5	2.5	30	70	4.89
12	2.25	0.000 020	5	7.5	3.0	40	75	88.50
13	2.5	0.000 010	15	12.5	4.0	60	55	6.99
14	2.5	0.000 012	20	15	4.5	10	60	6.11
15	2.5	0.000 014	25	17.5	2.0	20	65	12.12
16	2.5	0.000 016	30	5	2.5	30	70	26.22
17	2.5	0.000 018	5	7.5	3.0	40	75	47.69
18	2.5	0.000 020	10	10	3.5	50	80	69.20
19	2.7	0.000 010	20	15	4.5	10	60	2.82
20	2.7	0.000 012	25	17.5	2.0	20	65	3.94
21	2.7	0.000 014	30	5	2.5	30	70	10.28
22	2.7	0.000 016	5	7.5	3.0	40	75	22.84
23	2.7	0.000 018	10	10	3.5	50	80	29.76
24	2.7	0.000 020	15	12.5	4.0	60	55	47.38
25	2.8	0.000 010	25	17.5	2.0	20	65	1.19
26	2.8	0.000 012	30	5	2.5	30	70	2.71
27	2.8	0.000 014	5	7.5	3.0	40	75	10.06
28	2.8	0.000 016	10	10	3.5	50	80	15.20
29	2.8	0.000 018	15	12.5	4.0	60	55	17.90
30	2.8	0.000 020	20	15	4.5	10	60	1.36
31	2.9	0.000 010	30	5	2.5	30	70	55.86
32	2.9	0.000 012	5	7.5	3.0	40	75	62.28
33	2.9	0.000 014	10	10	3.5	50	80	42.83
34	2.9	0.000 016	15	12.5	4.0	60	55	3.98
35	2.9	0.000 018	20	15	4.5	10	60	2.70
36	2.9	0.000 020	25	17.5	2.0	20	65	1.08

Table 3

Table 4

References 18

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参数	数值	参数	数值
分形维数	2.5	酸液黏度/（mPa·s）	3
标准偏差/m	0.000 016	酸液密度/（kg·m³）	1 070
裂缝尺寸	30 m×100 m	酸液溶解能力	0.082 m³（岩石）/m³（酸液）
岩石密度/（kg·m³）	2 710	酸岩反应速度常数/（m·s^-1）	1.0×10^-5
地层压力/MPa	45	有效传质系数/（m²·s^-1）	1.0×10^-9
地层基质渗透率/10^-3μm²	10	注酸排量/（m³·min^-1）	3.5
地层基质孔隙度,%	5	注酸时间/min	40
酸液类型	15 %HCl

水平数	影响因素
水平数	分形维数	标准偏差/ m	岩石基质渗透率/ 10^-3μm²	岩石基质孔隙度, %	注酸排量/ （m³·min^-1）	注酸时间/ min	闭合压力/ MPa
K1	261.81	107.18	260.20	128.99	75.394	57.156	113.42
K2	156.86	96.443	181.34	244.22	113.01	59.410	41.17
K3	168.32	131.13	125.09	208.99	271.86	140.65	87.06
K4	117.02	189.98	61.833	118.10	202.00	264.88	133.67
K5	48.628	166.18	109.81	91.57	147.84	231.74	294.61
K6	168.73	290.44	183.09	129.49	111.25	251.42	251.42
k1	43.635	17.864	43.367	21.498	12.566	9.5259	18.90
k2	26.143	16.074	30.224	40.703	18.834	9.9017	6.86
k3	28.053	21.854	20.848	34.832	45.311	23.422	14.51
k4	19.503	21.664	10.305	19.683	33.667	44.146	22.28
k5	8.1047	27.697	18.301	15.262	24.640	38.624	49.10
k6	28.122	48.407	30.514	21.582	18.542	41.904	41.90
极差R	35.530	32.333	33.061	25.441	32.745	34.620	42.24
主次顺序	G>A>F>C>E>B>D

Simulation study on conductivity of closed acid cracks

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