Modified Methods of Permeability Prediction for Tight Sandstone Reservoirs

doi:10.7657/XJPG20200313

Abstract

Abstract:

Tight sandstone reservoir is featured with tiny pore throat and complicated pore throat structure. The available models for reservoir permeability prediction are generally used for conventional sandstone or carbonate reservoirs, which cannot get good permeability prediction results of tight sandstone reservoirs. 10 core samples of tight sandstone obtained from Chang 6–Chang 8 members in Ordos basin are selected and the mineral compositions and pore throat structures of the samples are analyzed based on experiments of mineral analysis and SEM. On the basis of high-pressure mercury injection experiment, the paper modifies the parameters for 8 typical reservoir permeability prediction models, establishes modified methods suitable for permeability prediction of tight sandstone reservoirs and carries out model optimization and adaptability evaluation. The results show that the good prediction results for tight sandstone reservoirs can be obtained from the modified Pittman model, Winland model, Dastidar model and K-T model, but the prediction results from the modified Purcell model, Swanson model, Thomeer model and W-A model are relatively poor.

Key words: tight sandstone reservoir, high-pressure mercury injection, permeability prediction, Pittman model, Winland model, Dastidar model, K-T model, adaptability evaluation

CLC Number:

TE112.23

ZHAO Tianyi, NING Zhengfu, CHEN Gang, TIAN Lingyu, QIAO Hui, WANG Jiwei. Modified Methods of Permeability Prediction for Tight Sandstone Reservoirs[J]. Xinjiang Petroleum Geology, 2020, 41(3): 337-343.

Figures/Tables 7

Table 1

Fig. 1.

Table. 2

Conventional permeability prediction models"

模型名称	表达式
Purcell模型^[9]（1949年）	$K = F (σ cos θ) 2 ? 2 × 104 ∫ 0 100 d S Hg P c 2$	（1）式
Winland模型^[10]（1980年）	$lg r 35 = 0.732 + 0.588 lg K - 0.864 lg ?$	（2）式
Swanson模型^[11]（1981年）	$K = 399 S b P c A 1.691$	（3）式
Thomeer模型^[12,13]（1983年）	$K = 3.806 F - 1.3334 S b ∞ P d 2$	（4）式
W-A模型^[14]（1985年）	$K = 30.5 S b P c A 1.56$	（5）式
K-T模型^[7]（1987年）	$K = C 2 L Hmax 3 L c ? S LHmax$	（6）式
Pittman模型^[15]（1992年）	$lg r apex = - 0.117 + 0.475 lg K - 0.099 lg ?$	（7）式
Dastidar模型^[16]（2007年）	$lg K = - 2.51 + 3.06 lg ? + 1.64 lg r WGM$ ,其中 $r WGM = ∏ i = 1 n r i w i 1 ∑ i = 1 n w i$	（8）式

Table. 2

Fig. 2.

Fig. 3.

Table 3

Modified tight sandstone permeability prediction models"

模型名称	表达式	修正相关系数（ $R adj 2$ ）
Purcell模型^[9]（1949年）	$K = 0.00172 ∫ 0 100 d S Hg P c 2$	0.879
Winland模型^[10]（1980年）	$lg K = - 2.341 + 0.717 lg r 20 + 1.955 lg ?$	0.932
Swanson模型^[11]（1981年）	$K = 0.0184 S b P c A 1.084$	0.820
Thomeer模型^[12,13]（1983年）	$K = 4.080 × 10 - 6 S b ∞ P d 2$	0.795
W-A模型^[14]（1985年）	$K = 0.0133 S b P c A 1.204$	0.845
K-T模型^[7]（1987年）	$K = 0.00448 L Hmax 3 L c ? S LHmax$	0.922
Pittman模型^[15]（1992年）	$lg K = - 0.900 + 0.922 lg r apex + 0.792 lg ?$	0.968
Dastidar模型^[16]（2007年）	$lg K = - 2.038 + 1.053 lg r WGM + 2.306 lg ?$	0.933

Table 3

Fig. 4.

References 18

[1]	闫林, 袁大伟, 陈福利 , 等. 陆相致密油藏差异化含油控制因素及分布模式[J]. 新疆石油地质, 2019,40(3):262-268.
	YAN Lin, YUAN Dawei, CHEN Fuli , et al. A study on differentiated oil-bearing controlling factors and distribution patterns of continental tight oil reservoir[J]. Xinjiang Petroleum Geology, 2019,40(3):262-268.
[2]	邹才能, 杨智, 陶士振 , 等. 纳米油气与源储共生型油气聚集[J]. 石油勘探与开发, 2012,39(1):13-26.
	ZOU Caineng, YANG Zhi, TAO Shizhen , et al. Nano-hydrocarbon and the accumulation in coexisting source and reservoir[J]. Petroleum Exploration and Development, 2012,39(1):13-26.
[3]	邹才能, 朱如凯, 白斌 , 等. 中国油气储层中纳米孔首次发现及其科学价值[J]. 岩石学报, 2011,27(6):1 857-1 864.
	ZOU Caineng, ZHU Rukai, BAI Bin , et al. First discovery of nano-pore throat in oil and gas reservoir in China and its scientific value[J]. Acta Petrologica Sinica, 2011,27(6):1 857-1 864.
[4]	牛小兵, 冯胜斌, 刘飞 , 等. 低渗透致密砂岩储层中石油微观赋存状态与油源关系:以鄂尔多斯盆地三叠系延长组为例[J]. 石油与天然气地质, 2013,34(3):288-293.
	NIU Xiaobing, FENG Shengbin, LIU Fei , et al. Microscopic occurrence of oil in tight sandstones and its relation with oil sources:a case study from the Upper Triassic Yanchang formation,Ordos basin[J]. Oil & Gas Geology, 2013,34(3):288-293.
[5]	白斌, 朱如凯, 吴松涛 , 等. 利用多尺度CT成像表征致密砂岩微观孔喉结构[J]. 石油勘探与开发, 2013,40(3):329-333.
	BAI Bin, ZHU Rukai, WU Songtao , et al. Multi-scale method of Nano(Micro)-CT study on microscopic pore structure of tight sandstone of Yanchang formation,Ordos basin[J]. Petroleum Exploration and Development, 2013,40(3):329-333.
[6]	KATZ A J, THOMPSON A H . Quantitative prediction of permeability in porous rock[J]. Physical Review B Condens Matter, 1986,34(11):8 179-8 181.
[7]	KATZ A J, THOMPSON A H . Prediction of rock electrical conductivity from mercury injection measurements[J]. Journal of Geophysical Research:Solid Earth, 1987,92(B1):599-607.
[8]	RASHID F ,GLOVER P W J,LORINCZI P ,et al.Permeability prediction in tight carbonate rocks using capillary pressure measurements[J]. Marine and Petroleum Geology, 2015,68:536-550.
[9]	PURCELL W R . Capillary pressures-their measurement using mercury and the calculation of permeability therefrom[J]. Journal of Petroleum Technology, 1949,1(2):39-48.
[10]	KOLODZIE S J . Analysis of pore throat size and use of the Waxman-Smits equation to determine OOIP in Spindle field,Colorado[J]. Proceedings of the National Academy of Sciences of the United States of America, 1955,41(3):150-155.
[11]	SWANSON B F . A simple correlation between permeabilities and mercury capillary pressures[J]. Journal of Petroleum Technology, 1981,33(12):2 498-2 504.
[12]	THOMEER J H M . Introduction of a pore geometrical factor defined by the capillary pressure curve[J]. Journal of Petroleum Technology, 1960,12(3):73-77.
[13]	THOMEER J H . Air permeability as a function of three pore-network parameters[J]. Journal of Petroleum Technology, 1983,35(4):809-814.
[14]	WELLS J D, AMAEFULE J O . Capillary pressure and permeability relationships in tight gas sands[C]//SPE/DOE 13879, 1985.
[15]	PITTMAN E D . Relationship of porosity and permeability to various parameters derived from mercury injection-capillary pressure curves for sandstone(1)[J]. AAPG Bulletin, 1992,76(2):191-198.
[16]	DASTIDAR R, SONDERGELD C H, RAI C S . An improved empirical permeability estimator from mercury injection for tight clastic rocks[J]. Petrophysics, 2007,48(3):186-190.
[17]	油气田开发专业标准化委员会. 岩石毛管压力曲线的测定:SY/T 5346—2005[S]. 北京:国家发展和改革委员会, 2005.
	Standardization Committee for Oil-Gas Field Development. Rock capillary pressure measurement:SY/T 5346—2005[S]. Beijing:National Development and Reform Commission, 2005.
[18]	刘一杉, 东晓虎, 闫林 , 等. 吉木萨尔凹陷芦草沟组孔隙结构定量表征[J]. 新疆石油地质, 2019,40(3):284-289.
	LIU Yishan, DONG Xiaohu, YAN Lin , et al. Quantitative characterization of pore structure of Lucaogou formation in Jimsar sag[J]. Xinjiang Petroleum Geology, 2019,40(3):284-289.