多段压裂水平井三线性流模型适用性研究

摘要/Abstract

摘要：

三线性流模型是目前求解多段压裂水平井试井模型的常用方法之一.采用正交试验,极差分析法和方差分析法,分析了裂缝半长,内区宽度,储层半长,无因次裂缝导流能力,内区渗透率对三线性流模型与数值模型压力及压力导数双对数曲线拟合的影响.研究表明,影响两种模型压力及压力导数双对数曲线拟合程度的排序为:无因次裂缝导流能力(F_CD)>内区渗透率(k_I)>裂缝半长(x_f)>储层半长(x_e)>内区宽度(y_e).无因次裂缝导流能力对两种模型压力特征曲线的拟合有显著影响,当无因次裂缝导流能力小于1时,曲线拟合效果差,线性流模型不适用;当无因次裂缝导流能力大于1时,曲线拟合效果较好,线性流模型适用.

关键词: 压裂水平井, 三线性流, 适用性, 正交试验

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

中图分类号:

TE373

刘启国,岑雪芳,李隆新,鲁恒,金吉焱. 多段压裂水平井三线性流模型适用性研究[J]. 油气藏评价与开发, 2018, 8(2): 63-67.

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

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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