一种建立毛管束模型的新方法

Abstract

Abstract:

The capillary bundle model is one of the most common physical models for the porous media. The most classic physical model is the straight capillary bundle model with same diameter. But the bendability of the porous media is neglected in this physical model. Therefore, based on the tight sandstone, combined with the mercury data, and by the introduction of the correction factor-tortuosity, we put forward a new approach to establish the capillary bundle model. This approach considers the bendability of the capillary bundle model and can accurately calculate the radius of capillary, capillary porosity and permeability, capillary volume of different radius and permeability contribution of capillary bundle model with different radius. This new approach has great significance for the study of the reservoir fluid imbibition of specific pressure and quantitatively characterizing the water invasion reservoir damage.

Key words: physical model, capillary bundle model, capillary pressure, tortuosity, porosity, permeability

CLC Number:

TE122.2

Yuan Yuan,Meng Yingfeng,Tang Hanlin. A new approach to establishing the capillary bundle model[J].Reservoir Evaluation and Development, 2018, 8(3): 35-39.

Figures/Tables 8

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Table 1

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Table 2

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Table 3

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References 7

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编号	进汞压力/ MPa	进汞饱和度, %	毛管压力平方的倒数/ （MPa）^-2	孔隙半径/ μm	毛细管半径/ μm	分布频率, %
1	0.029	0	1 189.060 6	0	0	0
2	0.045	0	493.827 2	0	0	0
3	0.074	0	182.615 0	0	0	0
4	0.119	0	70.616 5	0	0	0
5	0.210	0	22.675 7	0	0	0
6	0.285	0	12.311 5	0	0	0
7	0.470	0	4.526 9	0	0	0
8	0.726	0	1.897 3	0	0	0
9	1.179	1.467	0.719 4	0.629	0.629	1.467
10	1.790	8.854	0.312 1	0.415	0.522	7.388
11	2.826	30.193	0.125 2	0.263	0.339	21.338
12	4.543	46.029	0.048 5	0.163	0.213	15.836
13	7.321	55.243	0.018 7	0.101	0.132	9.214
14	11.844	64.695	0.007 1	0.063	0.082	9.452
15	18.117	76.032	0.003 0	0.041	0.052	11.338
16	28.060	85.484	0.001 3	0.026	0.034	9.452
17	45.322	92.544	0.000 5	0.016	0.021	7.060
18	73.343	94.587	0.000 2	0.010	0.013	2.043
19	118.276	95.784	0.000 1	0.006	0.008	1.197

不同毛细管孔隙度, %	不同毛细管渗透率/10^-3μm²	不同毛细管渗透率贡献率, %	不同半径毛细管体积/ cm³	单根毛细管体积/μm³	不同半径毛细管个数/个
0	0	0	0	0	0
0	0	0	0	0	0
0	0	0	0	0	0
0	0	0	0	0	0
0	0	0	0	0	0
0	0	0	0	0	0
0	0	0	0	0	0
0	0	0	0	0	0
0.18	3.59×10^-3	9.637	0.045	450 081.9	9.89×10⁴
0.91	1.24×10^-2	33.386	0.224	179 735.7	1.25×10⁶
2.64	1.51×10^-2	40.581	0.647	75 638.2	8.56×10⁶
1.96	4.44×10^-3	11.917	0.480	29 927.4	1.61×10⁷
1.14	9.98×10^-4	2.678	0.280	11 558.2	2.42×10⁷
1.17	3.93×10^-4	1.055	0.287	4 437.3	6.46×10⁷
1.40	1.88×10^-4	0.505	0.344	1 770.8	1.94×10⁸
1.17	6.64×10^-5	0.178	0.287	749.4	3.83×10⁸
0.87	2.00×10^-5	0.054	0.214	302.4	7.08×10⁸
0.25	2.22×10^-6	0.006	0.062	115.8	5.35×10⁸
0.15	4.97×10^-7	0.001	0.036	44.3	8.19×10⁸

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A new approach to establishing the capillary bundle model

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