Inversion of Permeability in High Pressure Packer Test under Hydro-Mechanical Coupling of Dual Media

doi:10.11988/ckyyb.20230554

Abstract

Abstract:

Hydraulic fracturing easily occurs in rock masses under high-pressure packer tests, involving dual water conduction via pores and cracks. This interaction between the seepage and stress fields results in spatial-temporal variations in rock mass permeability parameters. For accurate permeability parameter inversion during high-pressure packer tests, it is recommended to consider the change in permeability coefficient before and after fracture occurrence under hydro-mechanical coupling of dual media. A hydro-mechanical coupling numerical model is employed to simulate high-pressure packer tests, and parameter inversion is conducted using on-site test data to calculate limestone permeability across different pressure stages. Key findings include: before hydraulic fracturing, as injection pressure increases, permeability and pore water pressure sees distinct boundaries among different pressure stages, with inverted permeability closely aligning with specified formula values. After hydraulic fracturing, rock mass permeability increases by about 2 times, accompanied by sharp declines in matrix pore medium permeability and flow rates.

Key words: high-pressure packer test, dual media, seepage-stress coupling, permeability, hydraulic fracturing

CLC Number:

P642.3

Cite this article

WANG Jin-guo, HAN Zhi-ying, CHENG Wei, HUANG Rui-rui, YOU Lin, YANG Yun. Inversion of Permeability in High Pressure Packer Test under Hydro-Mechanical Coupling of Dual Media[J]. Journal of Changjiang River Scientific Research Institute, 2024, 41(8): 113-119.

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URL: http://ckyyb.crsri.cn/EN/10.11988/ckyyb.20230554

http://ckyyb.crsri.cn/EN/Y2024/V41/I8/113

Figures/Tables 11

Fig.1 Conceptual model of hydro-mechanical coupling of dual media[15]

Fig.2 Photos of test rock core samples

Table 1 Field test data of some test sections in ZK412 borehole

试段编号	埋深/ m	试验压力P/ MPa	流量Q/ (L·min^-1)	透水率/ Lu	按规程计算渗透率k/ (10^-15 m²)	曲线类型
ZK412-7	176.43~ 181.43	1.5	1.73	0.23	2.95	A(层流型)
		2.0	2.31	0.23	2.95
		2.5	2.77	0.22	2.83
		3.0	3.36	0.22	2.83
ZK412-10	161.97~ 166.97	1.5	0.36	0.05	0.55	C(扩张型)
		2.0	0.78	0.08	0.99
		2.5	1.85	0.15	1.79
		3.0	2.15	0.14	1.78
ZK412-12	152.43~ 157.43	1.5	0.47	0.06	0.78	C(扩张型)
		2.0	0.74	0.07	0.86
		2.5	1.50	0.12	1.49
		3.0	2.64	0.18	2.52
ZK412-13	147.60~ 152.60	1.5	0.36	0.39	5.02	A(层流型)
		2.0	0.78	0.38	4.84
		2.5	1.85	0.39	4.90
		3.0	2.15	0.40	4.94
ZK412-15	138.22~ 143.22	1.5	0.85	0.11	1.40	C(扩张型)
		2.0	1.34	0.13	1.57
		2.5	2.92	0.23	2.97
		3.0	3.75	0.25	3.15

Table 1 Field test data of some test sections in ZK412 borehole

试段编号	埋深/ m	试验压力P/ MPa	流量Q/ (L·min^-1)	透水率/ Lu	按规程计算渗透率k/ (10^-15 m²)	曲线类型
ZK412-7	176.43~ 181.43	1.5	1.73	0.23	2.95	A(层流型)
		2.0	2.31	0.23	2.95
		2.5	2.77	0.22	2.83
		3.0	3.36	0.22	2.83
ZK412-10	161.97~ 166.97	1.5	0.36	0.05	0.55	C(扩张型)
		2.0	0.78	0.08	0.99
		2.5	1.85	0.15	1.79
		3.0	2.15	0.14	1.78
ZK412-12	152.43~ 157.43	1.5	0.47	0.06	0.78	C(扩张型)
		2.0	0.74	0.07	0.86
		2.5	1.50	0.12	1.49
		3.0	2.64	0.18	2.52
ZK412-13	147.60~ 152.60	1.5	0.36	0.39	5.02	A(层流型)
		2.0	0.78	0.38	4.84
		2.5	1.85	0.39	4.90
		3.0	2.15	0.40	4.94
ZK412-15	138.22~ 143.22	1.5	0.85	0.11	1.40	C(扩张型)
		2.0	1.34	0.13	1.57
		2.5	2.92	0.23	2.97
		3.0	3.75	0.25	3.15

Fig.3 P-k and P-Q curves of some test sections in ZK412 borehole

Fig.4 Schematic diagram of high-pressure packer test model

Table 2 Statistics of parameter values

孔隙率	动力黏滞系数/ (N·s·m^-2)	泊松比	弹性模量E/ GPa	岩体密度ρ/ (kg·m^-3)	流体压缩系数 X_f/Pa^-1	基质压缩系数 X_p/Pa^-1	Biot系数	岩体法向断裂刚度 k_n/(N·m^-3)
0.1	1×10^-3	0.25	60	2 600	4×10^-10	1×10^-4	1.0	8×10¹¹

Table 2 Statistics of parameter values

孔隙率	动力黏滞系数/ (N·s·m^-2)	泊松比	弹性模量E/ GPa	岩体密度ρ/ (kg·m^-3)	流体压缩系数 X_f/Pa^-1	基质压缩系数 X_p/Pa^-1	Biot系数	岩体法向断裂刚度 k_n/(N·m^-3)
0.1	1×10^-3	0.25	60	2 600	4×10^-10	1×10^-4	1.0	8×10¹¹

Fig.5 Variation curves of permeability and pressure head

Fig.6 Fitting of P-Q curve of simulated values in unfractured section

Table 3 Inversion values of permeability at different injection pressures

试段编号	不同注液压力下的渗透率/(10^-15m²)
试段编号	1.5 MPa	2.0 MPa	2.5 MPa	3.0 MPa
ZK412-10	0.409	0.420	0.567	0.795
ZK412-12	0.378	0.383	0.41	0.616
ZK412-15	0.600	0.615	0.69	1.246

Table 3 Inversion values of permeability at different injection pressures

试段编号	不同注液压力下的渗透率/(10^-15m²)
试段编号	1.5 MPa	2.0 MPa	2.5 MPa	3.0 MPa
ZK412-10	0.409	0.420	0.567	0.795
ZK412-12	0.378	0.383	0.41	0.616
ZK412-15	0.600	0.615	0.69	1.246

Fig.7 Variation curves of pore/fracture permeability and equivalent hydraulic fracture width with injection pressure

Fig.8 Fitting of P-Q curve of simulated values in fractured section

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