多段压裂水平井三线性流模型适用性研究

Abstract

Abstract:

A trilinear flow model is one of the common methods solving the well test models for the multistage fractured horizontal wells. By the orthogonal test, the range analysis method and the variance analysis method, we analyzed the influence of the half fracture length, the half reservoir thickness, the width of the inner zone, the dimensionless fracture conductivity and the permeability in inner zone on the double log curves fitting of the pressure and the pressure derivative of the trilinear flow model and numerical model. According to this analysis, the factors affecting the curves of the pressure characteristic curves of two models ranged from more to less are the dimensionless fracture conductivity(F_CD), the permeability in inner zone(k_I), the half fracture length(x_f), the half reservoir thickness(x_e)and the width of inner zone(y_e). The fracture conductivity affect obviously on the fitting of the pressure characteristic curves of two models. When the fracture conductivity is less than 1, the curve fitting effect is poor, so the linear flow model is not applicable. Otherwise, when the fracture conductivity is greater than 1, the curve fitting effect is good, so the linear flow model is suitable.

Key words: fractured horizontal well, trilinear flow, applicability, orthogonal test

CLC Number:

TE373

Qiguo Liu,Xuefang Cen,Longxin Li, et al. Study on applicability of trilinear flow model for multistage fractured horizontal well[J]. Reservoir Evaluation and Development, 2018, 8(2): 63-67.

Figures/Tables 9

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References 20

[1]	李传亮, 朱苏阳 . 水平井的表皮因子[J]. 岩性油气藏, 2014,26(4):16-21.
[2]	单娴, 姚军 . 压裂水平井生产效果影响因素分析[J]. 油气田地面工程, 2011,30(2):74-76. doi: 10.3969/j.issn.1006-6896.2011.2.036
[3]	Gringarten A C, Ramey H J . Unsteady-state pressure distributions created by a well with a single horizontal fracture, partial penetration, or restricted entry[J]. Society of Petroleum Engineers Journal, 1974,14(4):413-426.
[4]	Lee S T, John R . A new approximate analytic solution for finite-conductivity vertical fractures[J]. SPE Formation Evaluation, 1986,1(1):75-88.
[5]	Brown M L, Ozkan E, Raghavan R S , et al. Practical solutions for pressure transient responses of fractured horizontal wells in unconventional reservoirs[J]. Journal of Petroleum Technology, 2010,62(2):63-64.
[6]	Stalgorova E, Mattar L . Practical analytical model to simulate production of horizontal wells with branch fractures[C]// paper SPE-162515-MS presented at the SPE Canadian Unconventional Resources Conference, 30 October-1 November 2012, Calgary, Alberta, Canada.
[7]	Stalgorova E, Mattar L . Analytical model for unconventional multifractured composite systems[J]. SPE Reservoir Evaluation & Engineering, 2012,16(3):246-256.
[8]	姚军, 殷修杏, 樊冬艳 , 等. 低渗透油藏的压裂水平井三线性流试井模型[J]. 油气井测试, 2011,20(5):1-5. doi: 10.3969/j.issn.1004-4388.2011.05.001
[9]	谢亚雄, 刘启国, 刘振平 , 等. 低渗透油藏压裂水平井压力动态特征研究[J]. 科学技术与工程, 2014,14(19):64-68. doi: 10.3969/j.issn.1671-1815.2014.19.012
[10]	王本成, 贾永禄, 李友全 , 等. 多段压裂水平井试井模型求解新方法[J]. 石油学报, 2013,34(6):1150-1156. doi: 10.7623/syxb201306015
[11]	高杰, 张烈辉, 刘启国 , 等. 页岩气藏压裂水平井三线性流试井模型研究[J]. 水动力学研究与进展A辑, 2014,29(1):108-113.
[12]	郭小哲, 周长沙 . 页岩气储层压裂水平井三线性渗流模型研究[J]. 西南石油大学学报(自然科学版), 2016,38(2):86-94.
[13]	程时清, 刘斌, 李双 , 等. 多段生产水平井试井解释方法[J]. 中国海上油气, 2014,26(6):44-50.
[14]	姚军, 刘丕养, 吴明录 . 裂缝性油气藏压裂水平井试井分析[J]. 中国石油大学学报(自然科学版), 2013,37(5):107-113.
[15]	樊冬艳, 姚军, 孙海 , 等. 页岩气藏分段压裂水平井不稳定渗流模型[J]. 中国石油大学学报(自然科学版), 2014,38(5):116-123. doi: 10.3969/j.issn.1673-5005.2014.05.016
[16]	尹洪军, 杨春城, 徐子怡 , 等. 分段压裂水平井压力动态分析[J]. 东北石油大学学报, 2014,38(3):75-80.
[17]	何军, 范子菲, 宋珩 , 等. 压裂水平井渗流理论研究进展[J]. 地质科技情报, 2015,34(4):158-164.
[18]	L Fan, J W Thompson, J R Robinson . Understanding gas production mechanism and effectiveness of well stimulation in the Haynesville shale through reservoir simulation[C]// paper SPE-136696-MS presented at the Canadian Unconventional Resources and International Petroleum Conference, 19-21 October 2010, Calgary, Alberta, Canada.
[19]	高杰 . 页岩气藏多段压裂水平井压力动态特征研究[D]. 四川成都:西南石油大学, 2014.
[20]	马希文 . 正交设计的数学理论[M]. 北京: 人民教育出版社, 1981: 55-58.

水平	因素
水平	x_f /m	x_e/m	y_e /m	F_CD	k_I /10^-3μm²
1	30	200	20.83	1	0.001
2	60	300	50	5	0.01
3	100	400	83.33	10	0.1
4	140	500	125	50	1
5	180	600	166.67	100	10

序号	x_f/m	x_e/m	y_e/m	F_CD	k_I/10^-3μm²	最大相差距离
1	30	200	20.83	0.1	0.001	0.396 631
2	30	300	50	1	0.01	0.279 292
3	30	400	83.33	10	0.1	0.209 394
4	30	500	125	50	1	0.152 497
5	30	600	166.67	100	10	0.102 971
6	60	200	50	10	1	0.107 713
7	60	300	83.33	50	10	0.029 492
8	60	400	125	100	0.001	0.102 189
9	60	500	166.67	0.1	0.01	0.404 976
10	60	600	20.83	1	0.1	0.150 34
11	100	200	83.33	100	0.01	0.087 965
12	100	300	125	0.1	0.1	0.392 069
13	100	400	166.67	1	1	0.075 188
14	100	500	20.83	10	10	0.072 519
15	100	600	50	50	0.001	0.066 288
16	140	200	125	1	10	0.048 006
17	140	300	166.67	10	0.001	0.140 619
18	140	400	20.83	50	0.01	0.169 879
19	140	500	50	100	0.1	0.090 949
20	140	600	83.33	0.1	1	0.387 175
21	180	200	166.67	50	0.1	0.190 454
22	180	300	20.83	100	1	0.165 546
23	180	400	50	0.1	10	0.334 429
24	180	500	83.33	1	0.001	0.070 946
25	180	600	125	10	0.01	0.141 509

水平	最大相差距离均值
水平	x_f/m	x_e/m	y_e/m	F_CD	k_I/10^-3μm²
1	0.228 157	0.166 154	0.190 983	0.383 056	0.155 335
2	0.158 942	0.201 404	0.175 734	0.124 754	0.216 724
3	0.138 806	0.178 216	0.156 994	0.134 351	0.206 641
4	0.167 326	0.158 377	0.167 254	0.121 722	0.177 624
5	0.180 577	0.169 657	0.182 842	0.109 924	0.117 483
极差	0.089 351	0.043 026	0.033 989	0.273 132	0.099 241

来源	离差	自由度	均方离差	F值
x_f	0.022 416	4	0.005 604	2.441 234
x_e	0.005 452	4	0.001 363	0.593 706
y_e	0.003 507	4	0.000 877	0.381 93
F_CD	0.272 687	4	0.068 172	29.696 84
k_I	0.032 218	4	0.008 054	3.508 662
误差	0.009 182	4	0.002 296
总和	0.345 462	24

Study on applicability of trilinear flow model for multistage fractured horizontal well

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