A method for establishing a mathematical model of the relationship between spontaneous imbibition and time in porous media
A technology of spontaneous imbibition and porous media, applied in CAD numerical modeling, analysis of suspensions and porous materials, measurement devices, etc. exact value etc.
Active Publication Date: 2022-02-01
CHINA UNIV OF GEOSCIENCES (BEIJING)
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[0005] At present, a model for predicting the relationship between imbibition volume and time in the process of spontaneous imbibition in the same direction can be established by using the Handy equation, but the permeability and capillary force in this formula have some limitations in the process of spontaneous imbibition, especially in shale and so on. It is difficult to obtain accurate values for these two parameters in tight reservoirs, which affects the self-priming evaluation results of the fracturing process of shale tight reservoirs
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[0019] The specific structure and implementation process of this solution will be described in detail below through specific embodiments and accompanying drawings.
[0020] In the prior art, the Handy equation is generally used as a mathematical model for predicting the relationship between the amount of imbibition and time in the process of spontaneous imbibition in the same direction:
[0021]
[0022] Among them, M is the imbibition capacity (cm 3 ); A is the sample bottom area (cm 2 ); φ is the porosity; S w is water saturation; P is capillary pressure (Pa); μ is fluid viscosity (Pa·s); t is time (s). K in the formula is the sample permeability (mD).
[0023] However, there are some limitations when the Handy equation is directly applied to the calculation of equal-tight reservoirs. The present invention proposes the imbibition permeability K that is applicable to the spontaneous imbibition process imb and mean capillary pressure P ave to replace the traditional pe...
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Abstract
The present invention provides a method for establishing a mathematical model of the relationship between spontaneous imbibition and time in porous media, comprising: selecting two rock samples of a predetermined size for cleaning and drying, vacuumizing the first rock sample and then injecting water to form a saturated sample , which was centrifuged to obtain NMR saturated water and centrifuged T 2 Spectrum; after that, the second rock sample was used to carry out spontaneous imbibition experiment, and the pore distribution T 2 Spectrum; Calculate the imbibition permeability, average capillary pressure and surface relaxation rate of the rock sample according to the data of the above two rock samples; Substitute the obtained parameters into the Handy equation and replace the corresponding parameters to obtain the NMR-based It is suitable for the mathematical model of the relationship between imbibition amount and time in the process of spontaneous imbibition of porous media. The invention can overcome the limitation that the permeability and capillary force in the existing Handy equation are not applicable to the spontaneous imbibition research process, and the defect that it is difficult to obtain the precise value of the permeability and capillary force in tight reservoirs such as shale.
Description
technical field [0001] The invention relates to the geological field, in particular to a method for re-establishing a mathematical model of the relationship between spontaneous imbibition and time in porous media on the existing basis. Background technique [0002] Spontaneous imbibition refers to the process of fluid spontaneously entering the pores of porous media under the action of capillary force. It has been extensively studied in the fields of materials, biology, and geology. In petroleum engineering, spontaneous imbibition is not only closely related to the process of imbibition oil recovery, but also causes fracturing fluid to stay in the reservoir, which has complex effects on oil and gas recovery. Therefore, it is of great significance to accurately evaluate the spontaneous imbibition characteristics of porous media to solve the problems related to hydraulic fracturing of tight reservoirs such as shale. [0003] At present, spontaneous imbibition experiment is th...
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IPC IPC(8): G01N15/08G01N24/08
CPCG01N15/088G01N24/081G01N33/24G06F30/20G06F2111/10G01R33/448G01N33/241G01N15/082G01N2015/0846G01N1/34G01N1/4077G01N2001/4083
Inventor 姚艳斌李子烁刘大锰孙晓晓刘永
Owner CHINA UNIV OF GEOSCIENCES (BEIJING)