CN112067496B - Method for determining gas desorption curve under variable temperature and pressure conditions - Google Patents
Method for determining gas desorption curve under variable temperature and pressure conditions Download PDFInfo
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- CN112067496B CN112067496B CN202010890959.2A CN202010890959A CN112067496B CN 112067496 B CN112067496 B CN 112067496B CN 202010890959 A CN202010890959 A CN 202010890959A CN 112067496 B CN112067496 B CN 112067496B
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- 238000003795 desorption Methods 0.000 title claims abstract description 110
- 238000000034 method Methods 0.000 title claims abstract description 29
- 239000003245 coal Substances 0.000 claims abstract description 46
- 238000005259 measurement Methods 0.000 claims abstract description 28
- 230000001186 cumulative effect Effects 0.000 claims abstract description 6
- 238000001179 sorption measurement Methods 0.000 claims description 29
- 238000005070 sampling Methods 0.000 description 4
- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012163 sequencing technique Methods 0.000 description 1
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- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N7/00—Analysing materials by measuring the pressure or volume of a gas or vapour
- G01N7/14—Analysing materials by measuring the pressure or volume of a gas or vapour by allowing the material to emit a gas or vapour, e.g. water vapour, and measuring a pressure or volume difference
- G01N7/16—Analysing materials by measuring the pressure or volume of a gas or vapour by allowing the material to emit a gas or vapour, e.g. water vapour, and measuring a pressure or volume difference by heating the material
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Abstract
The invention discloses a method for determining a gas desorption curve under a variable temperature and pressure condition, which comprises the following steps: s1, acquiring a plurality of time-cumulative gas desorption quantity relation curves of a coal sample at different temperatures and different desorption pressures; s2, selecting the minimum measurement time t on a time coordinate axis 0 According to the time t 0 The vertical distance of the point is ordered from near to far to a plurality of relation curves to obtain a relation curve sequence; s3, calculating a relation curve l i+1 And relation curve l i At time t i Cumulative gas desorption amount difference Δq at i The method comprises the steps of carrying out a first treatment on the surface of the S4, determining time t i Sum q of corresponding accumulated gas desorption amount differences i Obtaining a plurality of data pairs of the sum of time and the difference value of the accumulated gas desorption amount; s5, setting a plurality of data pairs to a coordinate system to obtain a gas desorption curve under the condition of changing temperature and pressure. The invention can effectively characterize the desorption characteristics of coal under the condition of variable temperature and pressure, and has strong reliability and high accuracy.
Description
Technical Field
The invention relates to the field of gas, in particular to a method for determining a gas desorption curve under a variable temperature and pressure condition.
Background
The gas content of the coal bed is one of important indexes for predicting the risk prominence and evaluating the coal bed gas resources, and the actual measurement process usually needs to be performed after sampling, wherein the desorption of the gas-containing coal in the sampling process has an important influence on the accurate measurement of the gas content. In the sampling process, the desorption behavior of the coal sample can change along with the change of the desorption physical environment, such as the ground reverse circulation sampling process, the existing measuring method adopts an isothermal and normal-pressure measuring environment, and the obtained measuring result of the gas desorption curve representation is not consistent with the actual situation, so that the actual situation of desorption of the gas-containing coal can not be reflected.
Disclosure of Invention
Therefore, the invention aims to overcome the defects in the prior art, and provides the method for determining the gas desorption curve under the temperature and pressure changing condition, which can effectively characterize the desorption characteristic of coal under the temperature and pressure changing condition, and has strong reliability and high accuracy.
The invention relates to a method for determining a gas desorption curve under a variable temperature and pressure condition, which comprises the following steps:
s1, establishing a rectangular coordinate system by taking accumulated gas desorption amount and time as coordinate axes, and measuring accumulated gas desorption amount of a coal sample under different temperatures and different desorption pressures along with the time extension to obtain a plurality of time-accumulated gas desorption amount relation curves;
s2, selecting the minimum measurement time t on a time coordinate axis 0 According to the time t 0 The vertical distance of the point is sequenced from near to far to a plurality of time and accumulated gas desorption quantity relation curves to obtain a relation curve sequence (l) 0 ,l 1 ,l 2 ,…,l i ,…,l N ) Wherein l is i For a relationship of permutation number i, i=0, 1,2, …, N;
s3, calculating a relation curve l i+1 And relation curve l i At time t i Cumulative gas desorption amount difference Δq at i The method comprises the steps of carrying out a first treatment on the surface of the Wherein the time t i ＝t 0 +i×Δt, Δt being the time interval of the desorption measurement;
s4, determining time t i Sum q of corresponding accumulated gas desorption amount differences i Obtaining a plurality of data pairs of the sum of time and the difference value of the accumulated gas desorption amount;
s5, setting a plurality of data pairs into a rectangular coordinate system of time and accumulated gas desorption quantity to obtain a plurality of coordinate points; and sequentially connecting the coordinate points from the origin of coordinates in sequence from small to large in time to obtain a gas desorption curve under the condition of changing temperature and pressure.
In step S1, before the gas desorption measurement is performed on the coal sample, the gas adsorption amounts of the coal sample at different temperatures are made the same.
Further, the gas adsorption amounts of the coal samples at different temperatures are made the same according to the following steps:
a. acquiring a gas isothermal adsorption curve of a coal sample at different temperatures;
b. and respectively selecting adsorption equilibrium pressure according to the gas isothermal adsorption curves of the coal sample at different temperatures so that the gas adsorption amounts of the coal sample at different temperatures are the same.
In step S1, the temperature and desorption pressure set for at least one of the gas desorption measurements performed on the coal sample are different from those of other measurements.
Further, in step S4, a time t is determined according to the following formula i Sum q of corresponding accumulated gas desorption amount differences i ：
The beneficial effects of the invention are as follows: the invention discloses a method for determining a gas desorption curve under a variable temperature and pressure condition, which is characterized in that a plurality of time-cumulative desorption quantity relation curves are obtained by carrying out desorption tests on the same coal sample under different temperatures and different desorption pressures, so that the cumulative desorption quantity of the same coal sample under different states is obtained; determining adjacent relation curves corresponding to the time points respectively by setting the time points, and calculating the accumulated desorption quantity difference value between the adjacent relation curves, so as to obtain the desorption quantity difference value between the time points under the more real temperature and pressure changing condition; according to the sequence of time from small to large, the accumulated desorption amount difference corresponding to the accumulated time points can be accumulated, so that the gas desorption curve of the gas-containing coal under the variable temperature and pressure conditions can be accurately obtained, and an effective technical support is provided for predicting the dangerous salience and evaluating the coalbed methane resources.
Drawings
The invention is further described below with reference to the accompanying drawings and examples:
FIG. 1 is a schematic flow chart of the method of the present invention;
FIG. 2 is a graph showing the relationship between the adsorption equilibrium pressure and the gas adsorption content at different temperatures according to the present invention;
FIG. 3 is a graph showing the relationship between time and cumulative gas desorption amount at different temperatures and different desorption pressures according to the present invention;
FIG. 4 is a graph of desorption of gas under variable temperature and pressure conditions according to the present invention.
Detailed Description
The invention is further described with reference to the accompanying drawings, in which:
the invention relates to a method for determining a gas desorption curve under a variable temperature and pressure condition, which comprises the following steps:
s1, measuring accumulated gas desorption amounts of coal samples at different temperatures and different desorption pressures along with the time extension to obtain a plurality of time-accumulated gas desorption amount relation curves; in this embodiment, the same coal sample is subjected to desorption measurement for 5 times successively, so as to obtain 5 time-integrated gas desorption amount relationship curves, wherein the 5 time-integrated gas desorption amount relationship curves are in the same coordinate system (as shown in fig. 3); the 5 desorption measurements all enable the same coal sample, so that measurement errors caused by differences among the coal samples are eliminated.
S2, selecting the minimum measurement time t on a time coordinate axis where a relation curve of time and accumulated gas desorption quantity is located 0 In the present embodiment, t 0 60s; according to the time t 0 The vertical distance of the point is sequenced from near to far to a plurality of time and accumulated gas desorption quantity relation curves to obtain a relation curve sequence (l) 0 ,l 1 ,l 2 ,…,l i ,…,l N ) Wherein l is i For a relationship of permutation number i, i=0, 1,2, …, N; in the present embodiment, the relation l 0 The curve is a curve which takes the time coordinate axis as a reference and coincides with the time coordinate axis; then according to the above-mentioned ordering rule, relationship curve l 0 Default to the first bit; then sequencing the relation curve of the desorption amount of the accumulated gas and the 5 times obtained by the desorption measurement to finally obtain a relation curve sequence (l) 0 ,l 1 ,l 2 ,l 3 ,l 4 ,l 5 )。
S3, calculating a relation curve l i+1 And relation curve l i At time t i Cumulative gas desorption amount difference Δq at i The method comprises the steps of carrying out a first treatment on the surface of the Wherein the time t i ＝t 0 +i×Δt, Δt being the time interval of the desorption measurement; in this embodiment, as shown in fig. 3, the time interval Δt is 60s; relation curve l 1 And relation curve l 0 At time t 0 The difference of the accumulated gas desorption amount is delta q 0 Said time t 0 60s; relation curve l 2 And relation curve l 1 At time t 1 The difference of the accumulated gas desorption amount is delta q 1 Said time t 1 120s; relation curve l 3 And relation curve l 2 At time t 2 The difference of the accumulated gas desorption amount is delta q 2 Said time t 2 180s; relation curve l 4 And relation curve l 3 At time t 3 The difference of the accumulated gas desorption amount is delta q 3 Said time t 3 240s; relation curve l 5 And relation curve l 4 At time t 4 The difference of the accumulated gas desorption amount is delta q 4 Said time t 4 300s;
s4, determining time t i Sum q of corresponding accumulated gas desorption amount differences i Obtaining a plurality of data pairs of the sum of time and the difference value of the accumulated gas desorption amount; in this embodiment, the data pairs are (t 0 ,q 0 )、(t 1 ,q 1 )、(t 2 ,q 2 )、(t 3 ,q 3 )、(t 4 ,q 4 )；
S5, setting a plurality of data pairs into a coordinate system of time and accumulated gas desorption amount to obtain a plurality of coordinate points; and sequentially connecting the coordinate points from the origin of coordinates in sequence from small to large in time to obtain a gas desorption curve under the condition of changing temperature and pressure. In the present embodiment, by setting the data pair (t 0 ,q 0 )、(t 1 ,q 1 )、(t 2 ,q 2 )、(t 3 ,q 3 )、(t 4 ,q 4 ) In the coordinate system, 5 coordinate points A, B, C, D, E can be obtained, and lines OA, AB, BC, CD, DE are sequentially formed from the coordinate origin 0, so as to form a gas desorption curve under the condition of variable temperature and pressure (as shown in fig. 4).
In this embodiment, in step S1, before the gas desorption measurement is performed on the same coal sample, the gas adsorption amounts of the coal sample at different temperatures are the same, so as to further eliminate measurement errors caused by differences between the gas adsorption amounts of the coal samples.
In this embodiment, the gas adsorption amounts of the coal samples at different temperatures are the same according to the following steps:
a. setting the temperature of an adsorption test according to the temperature change condition of the physical environment where the coal sample is located and the requirement on the adsorption measurement precision; under different temperature conditions, carrying out adsorption tests on the same coal sample by a capacity method, and recording the change condition of the gas adsorption quantity of the coal sample along with the change of adsorption equilibrium pressure, thereby obtaining gas isothermal adsorption curves (shown in figure 2) of the coal sample at different temperatures;
b. and setting the isothermal adsorption curves of the coal sample at different temperatures to the same coordinate system, and respectively selecting an adsorption equilibrium pressure on the isothermal adsorption curves of the coal sample at different temperatures to ensure that the adsorption capacity of the gas of the coal sample is the same. In this embodiment, the same gas adsorption quantity Q corresponding to the coal sample 0 Take the value of 15m 3 /t。
In the embodiment, in step S1, a desorption pressure is set according to the change condition of the gas pressure in the physical environment where the coal sample is located and the requirement on the desorption measurement accuracy, and the temperature set in the adsorption test is taken as the desorption measurement temperature; in this embodiment, the gas pressure p at the time of desorption measurement is set 0 2.5Mpa; the temperature and the desorption pressure set by at least one desorption measurement in the desorption measurement of different temperatures and different desorption pressures of the same coal sample are different from those of other desorption measurements, so that the accumulated gas desorption amount data under the conditions of different temperatures and different desorption pressures can be obtained; when the same coal sample is subjected to 5 times of desorption measurement, the set temperature and desorption pressure are respectively 35 ℃ and 1.5MPa, 30 ℃ and 1.0MPa, 25 ℃ and 0.5MPa, 20 ℃ and 0.3MPa, and 20 ℃ and 0.1MPa.
In this embodiment, in step S4, the time t i Sum q of corresponding accumulated gas desorption amount differences i ＝Said time t 0 Sum q of corresponding accumulated gas desorption amount differences 0 ＝Δq 0 The method comprises the steps of carrying out a first treatment on the surface of the Said time t 1 Sum q of corresponding accumulated gas desorption amount differences 1 ＝Δq 0 +Δq 1 The method comprises the steps of carrying out a first treatment on the surface of the Said time t 2 Sum q of corresponding accumulated gas desorption amount differences 2 ＝Δq 0 +Δq 1 +Δq 2 The method comprises the steps of carrying out a first treatment on the surface of the Said time t 3 Sum q of corresponding accumulated gas desorption amount differences 3 ＝Δq 0 +Δq 1 +Δq 2 +Δq 3 The method comprises the steps of carrying out a first treatment on the surface of the Said time t 4 Sum q of corresponding accumulated gas desorption amount differences 4 ＝Δq 0 +Δq 1 +Δq 2 +Δq 3 +Δq 4 。
Finally, it is noted that the above embodiments are only for illustrating the technical solution of the present invention and not for limiting the same, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications and equivalents may be made thereto without departing from the spirit and scope of the technical solution of the present invention, which is intended to be covered by the scope of the claims of the present invention.
Claims (5)
1. A method for determining a gas desorption curve under a variable temperature and pressure condition is characterized by comprising the following steps of: the method comprises the following steps:
s1, establishing a rectangular coordinate system by taking accumulated gas desorption amount and time as coordinate axes, and measuring accumulated gas desorption amount of a coal sample under different temperatures and different desorption pressures along with the time extension to obtain a plurality of time-accumulated gas desorption amount relation curves;
s2, selecting the minimum measurement time t on a time coordinate axis 0 According to the time t 0 The vertical distance of the point is sequenced from near to far to a plurality of time and accumulated gas desorption quantity relation curves to obtain a relation curve sequence (l) 0 ,l 1 ,l 2 ,…,l i ,…,l N ) Wherein l is i For a relationship of permutation number i, i=0, 1,2, …, N;
s3, calculating a relation curve l i+1 And relation curve l i At time t i Cumulative gas desorption amount difference Δq at i The method comprises the steps of carrying out a first treatment on the surface of the Wherein the time t i ＝t 0 +i×Δt, Δt being the time interval of the desorption measurement;
s4, determining time t i Sum q of corresponding accumulated gas desorption amount differences i Obtaining a plurality of data pairs of the sum of time and the difference value of the accumulated gas desorption amount;
s5, setting a plurality of data pairs into a rectangular coordinate system of time and accumulated gas desorption quantity to obtain a plurality of coordinate points; and sequentially connecting the coordinate points from the origin of coordinates in sequence from small to large in time to obtain a gas desorption curve under the condition of changing temperature and pressure.
2. The method for determining a desorption profile of gas under variable temperature and pressure conditions of claim 1, wherein: in the step S1, before the gas desorption measurement is carried out on the coal sample, the gas adsorption quantity of the coal sample at different temperatures is the same.
3. The method for determining a gas desorption curve under variable temperature and pressure conditions according to claim 2, wherein: the gas adsorption amounts of the coal samples at different temperatures are the same according to the following steps:
a. acquiring a gas isothermal adsorption curve of a coal sample at different temperatures;
b. and respectively selecting adsorption equilibrium pressure according to the gas isothermal adsorption curves of the coal sample at different temperatures so that the gas adsorption amounts of the coal sample at different temperatures are the same.
4. The method for determining a desorption profile of gas under variable temperature and pressure conditions of claim 1, wherein: in step S1, the temperature and desorption pressure set in at least one of the gas desorption measurements performed on the coal sample several times are different from those of other measurements.
5. The method for determining a desorption profile of gas under variable temperature and pressure conditions of claim 1, wherein: in step S4, the time t is determined according to the following formula i Sum q of corresponding accumulated gas desorption amount differences i ：
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