CN110057853B - Rock Young modulus calculation method based on low-field nuclear magnetic resonance response - Google Patents
Rock Young modulus calculation method based on low-field nuclear magnetic resonance response Download PDFInfo
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Abstract
The invention discloses a rock Young modulus calculation method based on low-field nuclear magnetic resonance response, which comprises the following steps: (1) drilling, cutting, washing oil, washing salt and drying rock to completely saturate formation water; (2) measuring transverse nuclear magnetic resonance relaxation signal of the water-bearing rock, and inverting into T2Spectrum and scale porosity; (3) carrying out a static mechanical experiment on the completely water-containing rock to obtain the Young modulus; (4) investigating Young's modulus (E) and NMR T2Geometric mean (T)2g) Nuclear magnetic resonance T2Arithmetic mean (T)2a) And nuclear magnetic resonance porosity; (5) and establishing a Young modulus calculation model based on nuclear magnetic resonance response by adopting a multivariate regression method. The method can exert the advantages of low-field nuclear magnetic resonance data to the maximum extent, considers the influence of the pore structure on the elastic parameters of the rock, and has important significance on the exploration and development of complex and unconventional oil and gas reservoirs.
Description
Technical Field
The invention belongs to the field of rock physics and petroleum engineering, and particularly relates to a rock Young modulus calculation method based on low-field nuclear magnetic resonance response.
Background
With the increasing world energy demand and the gradual depletion of conventional oil and gas energy, the exploration and development of unconventional reservoirs such as shale oil and gas, compact oil and gas and the like become hot spots and key fields which are currently and later focused by people. However, unconventional reservoirs have poor physical properties, very complex pore structures, and very weak fluid permeability, and require large-scale techniques such as acidizing and fracturing to increase production. Therefore, the calculation of rock mechanical parameters, especially the calculation of young's model, based on geophysical logging and other methods is particularly important for fracturing layer selection, construction parameter design and the like. At present, most documents and industries adopt acoustic logging to calculate Young's modulus, however, because the conversion of dynamic and static elastic parameters is very difficult, the Young's modulus calculated by acoustic logging data has very limited accuracy.
Disclosure of Invention
The invention aims to provide a rock Young modulus calculation method based on low-field nuclear magnetic resonance response, which effectively improves the calculation precision of Young modulus and provides a basis for fracturing stratum selection, construction parameter optimization and the like of complex and unconventional oil and gas reservoirs.
The technical solution adopted by the invention is as follows:
a rock Young modulus calculation method based on low-field nuclear magnetic resonance response comprises the following steps:
(1) selecting depth according to research purposes, taking out the rock core from a rock core library, drilling into a plunger sample with the length of 3-5 cm and the diameter of 2.54 cm, polishing the end face of the plunger sample rock core, then performing oil washing, salt washing and drying pretreatment, and finally putting into a saturator to enable pores in the rock core to be fully saturated with formation water;
(2) taking out the rock core of the completely saturated formation water, putting the rock core into a rock core nuclear magnetic resonance instrument, setting the waiting time to be 6 seconds, the scanning times to be 256 times, the echo interval to be 0.2 milliseconds and the measuring temperature to be 32 ℃; measuring to obtain nuclear magnetic resonance attenuation echo train, and marking the first point of the echo train into nuclear magnetic resonance porosity phiNMR；
(3) Inverting the nuclear magnetic resonance attenuation echo string obtained by measurement into nuclear magnetic resonance T by using SIRT algorithm2Spectrum, calculating the nuclear magnetic resonance T of each rock2Geometric mean value T2gAnd nuclear magnetic resonance T2Arithmetic mean value T2a；
(4) Placing the rock subjected to nuclear magnetic resonance measurement into a triaxial mechanical tester, and measuring to obtain the Young modulus E of each rock;
(5) the single-factor analysis method is adopted to research the Young modulus E and the nuclear magnetic resonance T2Geometric mean value T2gNuclear magnetic resonance T2Arithmetic mean value T2aAnd nuclear magnetic resonance porosity phiNMRThe relationship of (1);
(6) according to the single-factor analysis result, a rock Young modulus calculation model based on nuclear magnetic resonance response is established by adopting a multiple regression method, and the calculation model is as follows:
in the formula (1), E is Young's modulus, T2g、T2aRespectively, geometric mean and arithmetic mean of nuclear magnetic resonance, phiNMRThe porosity of NMR is shown as a and b, respectively.
Preferably, the dominant frequency of the core nuclear magnetic resonance instrument is 2 MHz. Of course for other primary frequencies.
The Young's modulus (E) and nuclear magnetic resonance (T) of the rock2Geometric mean (T)2g) Nuclear magnetic resonance T2Arithmetic mean (T)2a) Nuclear magnetic resonance porosity (phi)NMR) Are all inversely proportional to nuclear magnetic resonance T2Arithmetic mean and nuclear magnetic resonance T2Ratio of geometric means (T)2a/T2g) Is in direct proportion.
The beneficial technical effects of the invention are as follows:
the invention provides a rock Young modulus calculation method based on low-field nuclear magnetic resonance response, which can overcome the defect that the dynamic Young modulus calculated by simply adopting acoustic logging and the real Young modulus of a rock cannot be directly converted, effectively improves the calculation precision of the Young modulus, and has important significance for fracturing stratum selection, construction parameter optimization and the like of complex and unconventional oil and gas reservoirs.
Drawings
The invention will be further described with reference to the following detailed description and drawings:
FIG. 1 is a flow chart of a rock Young's modulus calculation method based on low-field nuclear magnetic resonance response provided by the invention;
FIG. 2 is a nuclear magnetic resonance attenuation spectrum measured in a completely hydrated state of a rock according to an embodiment of the present invention;
FIG. 3 is a nuclear magnetic resonance T obtained by inversion of SIRT of nuclear magnetic resonance attenuation spectrum measured in a rock in a completely hydrated state in the embodiment of the invention2A spectrum;
FIG. 4 is a graph illustrating the calculation process of the axial stress-strain curve and Young's modulus (E) of a rock according to an embodiment of the present invention;
FIG. 5 is a graph showing the measured Young's modulus (E) and NMR T of 6 samples in total in the example of the present invention2Geometric mean (T)2g) A relationship diagram of (1);
FIG. 6 is a graph showing the measured Young's modulus (E) and NMR T of 6 samples in total in the example of the present invention2Arithmetic mean (T)2a) A relationship diagram of (1);
FIG. 7 is a graph showing the measured Young's modulus (E) and NMR T of 6 samples in total in the example of the present invention2Arithmetic mean and nuclear magnetic resonance T2Geometric mean ratio (T)2a/T2g) A relationship diagram of (1);
FIG. 8 is a graph of the measured Young's modulus (E) and the NMR porosity (φ) of a total of 6 samples in examples of the inventionNMR) A relationship diagram of (1);
FIG. 9 is a graph showing the relationship between the measured Young's modulus (E) and the predicted Young's modulus (Ep) of a total of 6 samples in the example of the present invention.
Detailed Description
The application of the low-field nuclear magnetic resonance technology widens the scope of rock physics research and geophysical logging in a laboratory. Because the nuclear magnetic resonance directly detects formation fluid information, rich information such as porosity, permeability, pore structure and the like can be provided, and the nuclear magnetic resonance device plays an important role in oil and gas exploration. On the basis of experimental research, the quantitative characterization method of the Young modulus of the rock based on the nuclear magnetic resonance is realized by analyzing the relation between the nuclear magnetic resonance response and the mechanical properties of the rock and establishing a multiple regression model, so that rich information contained in nuclear magnetic resonance data can be effectively mined, and the engineering application value of the nuclear magnetic resonance data is improved.
Because the Young modulus is closely related to the rock physical property, the pore structure, the heterogeneity and the like, the invention establishes the low-field nuclear magnetic resonance-based materialThe responding rock Young modulus calculation method provides a basis for fracturing stratum selection and construction parameter optimization of complex and unconventional oil and gas reservoirs. The method analyzes the Young modulus and the nuclear magnetic resonance T by carrying out rock mechanical parameters and low-field nuclear magnetic resonance experiments on the same sample2Geometric mean, nuclear magnetic resonance T2And establishing a rock Young modulus calculation model based on low-field nuclear magnetic resonance response by adopting a multiple regression method according to the relationship of parameters such as an arithmetic mean value, nuclear magnetic resonance porosity and the like.
A rock Young modulus calculation method based on low-field nuclear magnetic resonance response specifically comprises the following steps:
(1) and selecting the depth according to the research purpose, taking out the core from the core storage, drilling into a plunger sample with the length of about 3-5 cm and the diameter of 2.54 cm, polishing the end face, and then performing pretreatment such as oil washing, salt washing, drying and the like. And finally, putting a saturator into the rock to enable pores in the rock to completely saturate formation water.
(2) Taking out the rock completely saturated with formation water, putting the rock into a rock core nuclear magnetic resonance instrument with the main frequency of 2 MHz, setting the waiting time to be 6 seconds, setting the scanning times to be 256 times, setting the echo interval to be 0.2 milliseconds, and setting the measurement temperature to be 32 ℃; and measuring to obtain a nuclear magnetic resonance attenuation echo string, and scaling into porosity by adopting a first point method.
(3) Inverting the nuclear magnetic resonance attenuation echo string obtained by measurement into nuclear magnetic resonance T by using SIRT algorithm2Spectrum, calculating the nuclear magnetic resonance T of each rock2Geometric mean, nuclear magnetic resonance T2The arithmetic mean.
(4) And (4) placing the rock subjected to nuclear magnetic resonance measurement into a triaxial mechanical tester, and measuring to obtain the Young modulus of each rock.
(5) The Young modulus (E) and the nuclear magnetic resonance T are researched by adopting a single-factor analysis method2Geometric mean (T)2g) Nuclear magnetic resonance T2Arithmetic mean (T)2a) And nuclear magnetic resonance porosity (phi)NMR) The relationship (2) of (c).
(6) And according to the single-factor analysis result, establishing a rock Young modulus calculation model based on nuclear magnetic resonance response by adopting a multiple regression method. The calculation model is as follows:
in the formula (1), E is Young's modulus, T2g、T2aRespectively, geometric mean and arithmetic mean of nuclear magnetic resonance, phiNMRThe porosity of NMR is shown as a and b, respectively.
The method is not limited to the core nuclear magnetic resonance instrument with the main frequency of 2 million nuclear magnetic resonance, and is also suitable for other main frequencies.
The following describes an example of the present invention with reference to the drawings.
A rock Young's modulus calculation method based on low-field nuclear magnetic resonance response analyzes Young's modulus and nuclear magnetic resonance T by carrying out rock mechanical parameters and low-field nuclear magnetic resonance experiments on the same sample2Geometric mean, nuclear magnetic resonance T2And establishing a rock Young modulus calculation model based on low-field nuclear magnetic resonance response by adopting a multiple regression method according to the relationship of parameters such as an arithmetic mean value, nuclear magnetic resonance porosity and the like.
FIG. 1 is a flow chart of a rock Young's modulus (E) calculation method based on low-field nuclear magnetic resonance response, which mainly comprises (1) rock drilling, cutting, oil washing, salt washing, drying and complete saturation of formation water; (2) measuring transverse nuclear magnetic resonance relaxation signal of the water-bearing rock, and inverting into T2Spectrum and scale porosity; (3) carrying out a static mechanical experiment on the completely water-containing rock to obtain the Young modulus; (4) investigating Young's modulus (E) and NMR T2Geometric mean (T)2g) Nuclear magnetic resonance T2Arithmetic mean (T)2a) And nuclear magnetic resonance porosity; (5) establishing a Young modulus calculation model based on nuclear magnetic resonance response by adopting a multivariate regression method; these five parts are not available, and the order may not be reversed.
FIG. 2 is a nuclear magnetic resonance attenuation spectrum measured in a completely hydrated state of a rock according to an embodiment of the present invention. It can be seen from the figure that the signal-to-noise ratio of the nuclear magnetic resonance decay spectrum obtained by the parameter measurement provided by the invention is high, but the relaxation is very fast, and when the time is 10 milliseconds, the signal decay amplitude reaches about 65%.
FIG. 3 is a nuclear magnetic resonance T obtained by inversion of SIRT of nuclear magnetic resonance attenuation spectrum measured in a rock in a completely hydrated state in the embodiment of the invention2Spectra. As can be seen from the figure, the nuclear magnetic resonance T of the rock2The main peak position of the spectrum is about 10 milliseconds, which indicates that the rock is dense and mainly has a fine pore throat.
FIG. 4 is a graph illustrating the axial stress-strain curve and the Young's modulus (E) of a rock according to an embodiment of the present invention. It can be seen from the graph that when the axial stress is less than 70 mpa, the axial strain and the axial stress exhibit a good linear relationship, and the slope obtained by linear fitting is 18.197 gpa (1 gpa equals 1000 mpa), which is the young's modulus (E) of the rock.
FIG. 5 is a graph showing the measured Young's modulus (E) and NMR T of 6 samples in total in the example of the present invention2Geometric mean (T)2g) A graph of the relationship (c). As can be seen from the figure, Young's modulus (E) and nuclear magnetic resonance T2Geometric mean (T)2g) In inverse relation with the nuclear magnetic resonance T2Geometric mean (T)2g) The Young's modulus (E) decreases exponentially.
FIG. 6 is a graph showing the measured Young's modulus (E) and NMR T of 6 samples in total in the example of the present invention2Arithmetic mean (T)2a) A graph of the relationship (c). As can be seen from the figure, Young's modulus (E) and nuclear magnetic resonance T2Arithmetic mean (T)2a) Also in inverse proportion with the nuclear magnetic resonance T2Arithmetic mean (T)2a) The Young's modulus (E) decreases exponentially.
FIG. 7 is a graph showing the measured Young's modulus (E) and NMR T of 6 samples in total in the example of the present invention2Arithmetic mean and nuclear magnetic resonance T2Geometric mean ratio (T)2a/T2g) A graph of the relationship (c). As can be seen from the figure, Young's modulus (E) and nuclear magnetic resonance T2Arithmetic mean and nuclear magnetic resonance T2Geometric mean ratio (T)2a/T2g) The correlation is linear and positive, and is higher than that in fig. 5 and 6.
FIG. 8 is a graph of the measured Young's modulus (E) and the NMR porosity (φ) of a total of 6 samples in examples of the inventionNMR) A graph of the relationship (c). As can be seen from the figure, the porosity (. phi.) is measured by NMRNMR) The Young's modulus (E) also tends to decrease as it increases.
FIG. 9 is a graph showing the relationship between the measured Young's modulus (E) and the predicted Young's modulus (Ep) of a total of 6 samples in the example of the present invention. As can be seen from the figure, the Young modulus calculated by the method is very consistent with the measured Young modulus, and the requirement of fine modeling can be met.
Claims (2)
1. A rock Young modulus calculation method based on low-field nuclear magnetic resonance response is characterized by comprising the following steps:
(1) selecting depth according to research purposes, taking out the rock core from a rock core library, drilling into a plunger sample with the length of 3-5 cm and the diameter of 2.54 cm, polishing the end face of the plunger sample rock core, then performing oil washing, salt washing and drying pretreatment, and finally putting into a saturator to enable pores in the rock core to be fully saturated with formation water;
(2) taking out the rock core of the completely saturated formation water, putting the rock core into a rock core nuclear magnetic resonance instrument, setting the waiting time to be 6 seconds, the scanning times to be 256 times, the echo interval to be 0.2 milliseconds and the measuring temperature to be 32 ℃; measuring to obtain nuclear magnetic resonance attenuation echo train, and marking the first point of the echo train into nuclear magnetic resonance porosity phiNMR；
(3) Inverting the nuclear magnetic resonance attenuation echo string obtained by measurement into nuclear magnetic resonance T by using SIRT algorithm2Spectrum, calculating the nuclear magnetic resonance T of each rock2Geometric mean value T2gAnd nuclear magnetic resonance T2Arithmetic mean value T2a；
(4) Placing the rock subjected to nuclear magnetic resonance measurement into a triaxial mechanical tester, and measuring to obtain the Young modulus E of each rock;
(5) the single-factor analysis method is adopted to research the Young modulus E and the nuclear magnetic resonance T2Geometric mean value T2gNuclear magnetic resonance T2Arithmetic mean value T2aAnd nuclear magnetic resonance porosity phiNMRThe relationship of (1);
(6) according to the single-factor analysis result, a rock Young modulus calculation model based on nuclear magnetic resonance response is established by adopting a multiple regression method, and the calculation model is as follows:
in the formula (1), E is Young's modulus, T2g、T2aRespectively, geometric mean and arithmetic mean of nuclear magnetic resonance, phiNMRThe porosity of NMR is shown as a and b, respectively.
2. The method for calculating the Young's modulus of the rock based on the low-field nuclear magnetic resonance response as claimed in claim 1, wherein the method comprises the following steps: the dominant frequency of the core nuclear magnetic resonance instrument is 2 MHz.
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| CN112505085B (en) * | 2021-02-05 | 2021-04-09 | 西南石油大学 | Method for measuring porosity effective stress coefficient based on nuclear magnetic resonance |
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| CN104198516A (en) * | 2014-09-05 | 2014-12-10 | 中国石油大学(华东) | Method for predicting speed of transverse wave by using nuclear magnetic resonance T2 geometric mean |
| CN106501144A (en) * | 2016-09-13 | 2017-03-15 | 中国石油大学(华东) | A kind of tight sand calculation of permeability based on the double cutoffs of nuclear magnetic resonance |
| US10161891B1 (en) * | 2017-11-03 | 2018-12-25 | Institute Of Geology And Geophysics Chinese Academy Of Sciences | Method for characterizing rock physical characteristics of deeply buried carbonate rocks |
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| US7363161B2 (en) * | 2005-06-03 | 2008-04-22 | Baker Hughes Incorporated | Pore-scale geometric models for interpretation of downhole formation evaluation data |
| WO2009070365A1 (en) * | 2007-11-27 | 2009-06-04 | Exxonmobil Upstream Research Company | Method for determining the properties of hydrocarbon reservoirs from geophysical data |
| US20170322337A1 (en) * | 2016-05-03 | 2017-11-09 | Baker Hughes Incorporated | Evaluation of formation mechanical properties using magnetic resonance |
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| CN104198516A (en) * | 2014-09-05 | 2014-12-10 | 中国石油大学(华东) | Method for predicting speed of transverse wave by using nuclear magnetic resonance T2 geometric mean |
| CN106501144A (en) * | 2016-09-13 | 2017-03-15 | 中国石油大学(华东) | A kind of tight sand calculation of permeability based on the double cutoffs of nuclear magnetic resonance |
| US10161891B1 (en) * | 2017-11-03 | 2018-12-25 | Institute Of Geology And Geophysics Chinese Academy Of Sciences | Method for characterizing rock physical characteristics of deeply buried carbonate rocks |
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| Characterization of the stress sensitivity of pores for different rank coals by nuclear magnetic resonance;Song Li et al.;《Fuel》;20130517;第111卷;746-754 * |
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