页岩气藏水平井压后不稳定早期产量预测模型研究与分析

Abstract

Abstract:

The property of low porosity and ultra-low permeability of shale gas reservoirs decide that only by the horizontal well fracturing can we obtain the economic productivity, and the forecast of the production after fracture have a great influence on optimal plan of treatments and economical estimation. On the basis of summarizing the previous researches, a novel model for production forecast in the unsteady early period was established based on the corrected Warren & Root model and considered about the desorption, slippage and stress sensitivity of micro fractures. Then the analytical solution for pseudo pressure was obtained by Laplace transformation and well-test method. Lastly, the practical production data was used to verify the accuracy of this model, and the factors affecting production were analyzed. The conclusion showed that the computed value and actual value of average daily production for single well in shale gas reservoir were similar to each other, demonstrating the validity of the model. Desorption and slippage had noticeable effects on the production and it also revealed that desorption played an important role in gas output. However, stress sensitivity could also affect the production in some extent, but the extent of the influence was less than that of desorption and slippage. The conclusions were meaningful for the study of output mechanism of shale gas and early production forecast.

Key words: shale gas, unsteady period, production forecast, analytical solution, desorption

CLC Number:

TE377

Zhao Jinzhou,You Xianyong,Li Yongming,Pu Xuan. Analysis of unsteady early period production forecast model for fractured horizontal wells in shale gas reservoir[J].Reservoir Evaluation and Development, 2018, 8(6): 70-76.

Figures/Tables 11

Fig. 1

Fig. 2

Fig. 3

Table 1

Coordinates of point j th on k th hydraulic fracture"

第k条水力主缝	x轴	y轴
左翼上第j个点源	$- 12 2 n - 2 j + 1 n x l, k HF sin α k$	$y k HF + 12 2 n - 2 j + 1 n x l, k HF cos α k$
右翼上第j个点源	$12 2 j - 1 n x r, k HF sin β k$	$y k HF - 12 2 j - 1 n x r, k HF cos β k$

Table 1

Table 2

Coordinates of i th hydraulic fracture tip point"

第i条水力主缝	x轴	y轴
左翼汇入端	$- 1 - 1 2 n x l, i HF sin α i$	$y i HF + 1 - 1 2 n x l, i HF cos α i$
右翼汇入端	$1 - 1 2 n x r, i HF sin β i$	$y i HF - 1 - 1 2 n x r, i HF cos β i$

Table 2

Table 3

Table 4

Fig. 4

Fig. 5

Fig. 6

Fig. 7

References 11

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页岩厚度/m	原始地层压力/MPa	基质岩块渗透率/（10^-3μm²）	页岩密度/（kg·m^-3）	微裂缝渗透率/（10^-3μm²）	边界半径/m	表皮系数	温度/℃		多孔介质迂曲度		切向动量适应系数
32	33.49	2.5×10^-5	2 600	0.1	1 500	0	82.2		5		0.8
气体黏度/（mPa·s）	井底流压/MPa	基质岩块孔隙度	缝网系统孔隙度	水平井筒长度/m	天然气比重	应力敏感系数/MPa^-1		页岩平均孔隙半径/nm		实测含气量/（m³·t^-1）
0.026	15.87	0.054 7	0.005	1 600	0.7	0.05		5		1.71

裂缝编号	左翼缝长/m	右翼缝长/m	主缝宽度/mm	主缝间距/m	左翼裂缝夹角/°	左翼裂缝夹角/°	主缝渗透率/μm²
1	136	126	2.5	110	80	110	2.1
2	123.3	133.3	2.4	110	90	80	2.2
3	121.7	131.7	2.4	100	85	105	1.8
4	137.9	127.9	2.5	120	70	80	2.3
5	119	125	2.5	120	110	115	1.9
6	138	121.6	2.4	130	90	90	1.7
7	114.3	124.3	2.6	110	85	96	2.2
8	126	136	2.5	110	110	80	2.1
9	133.3	123.3	2.4	110	80	90	2.2
10	131.7	121.7	2.4	100	105	85	1.8
11	127.9	137.9	2.5	120	80	70	2.3
12	125	119	2.5	120	115	110	1.9
13	121.6	138	2.4	130	90	90	1.7
14	124.3	114.3	2.6		75	75	2.2

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Analysis of unsteady early period production forecast model for fractured horizontal wells in shale gas reservoir

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