CN109596596A - Multicomponent Gas Hydrate quantitative analysis method based on Raman spectroscopy - Google Patents
Multicomponent Gas Hydrate quantitative analysis method based on Raman spectroscopy Download PDFInfo
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Abstract
The multicomponent Gas Hydrate quantitative analysis method based on Raman spectroscopy that the present invention relates to a kind of, it include: to utilize the multicomponent gas gas phase in laser Raman spectroscopy test initial time reaction system, Raman spectrogram is obtained, and calculates the Raman peak area for respectively forming gas in device in Gas;The multicomponent methane gas in initial time reaction system is extracted using gas-chromatography sampler and carries out gas-chromatography concentration analysis, obtains the concentration value that gas is respectively formed in the device in Gas of initial time;It selects any gas in device in Gas respectively to form the Raman peak area and concentration value of gas in the device in Gas based on initial time as reference gas, calculates gas phase for the opposite quantitative factor of the reference gas;Raman spectrogram is measured at the moment to be measured of reaction system, calculates the raman spectra area that the moment to be measured respectively forms gas, the concentration of each composition gas is obtained according to the raman spectra areal calculation that the opposite quantitative factor and moment to be measured respectively form gas.
Description
Technical field
The present invention relates to Gas Disaster prevention and treatment and utilize field more particularly to a kind of multicomponent based on Raman spectroscopy
Gas Hydrate quantitative analysis method.
Background technique
Device in Gas (main component CH4), as a kind of unconventional energy resource, safety, resource, environmental effect are gradually weighed
Depending on storage and transportation is to influence the principal element of its comprehensive utilization.Currently, main conveying method has high pressure compressed, low-temperature liquefaction, pipeline fortune
It is defeated etc., have that solidification temperature, pressure condition are mild, gas storage rate is high, storage safety and stability in view of Gas Hydrate, hydration occurs
The technical thought of the storage of object method and transport device in Gas.The microcosmic ginsengs such as Gas Hydrate guest molecule hole occupation rate, hydration index
Number is the key index for defining its gas storage effect and storage stability, however, Gas Hydrate guest molecule hole occupation rate,
The micro-parameters such as hydration index can not be obtained by means of macroscopical laboratory facilities.
Do not have in the prior art by the application of Raman spectroscopy quantitative analysis multicomponent Gas Hydrate.Currently, Raman
Spectral technique is mainly used in that gas hydrates are qualitative, quantitative aspect research.Qualitative aspect mainly applies Raman spectroscopy
Carry out the identification of material molecule;Quantitative aspect focuses mostly in CH4The hole occupation rate calculating of gas molecule and CH in hydrate4
The hydration index of gas hydrate calculates.In addition to this, scholar realizes using using Raman spectroscopy to sulphur in seawater
The measurement of acid ion concentration or using artificial synthesized fluid inclusion establish methane concentration and Raman signatures peak area ratio it
Between calibration curve realize CH4—H2O system fluid inclusion quantitative analysis.
However, being had the disadvantage in that in the prior art using Raman spectroscopy quantitative analysis
(1) most scholars utilize Raman spectroscopy quantitative analysis gas hydrates, that is, study the CH of single component4Water
Close object microscopic characteristics or CH4The process of lanthanum chloride hydrate and decomposition, simultaneously about the qualitative of multicomponent gas hydrate, quantitative approach
It does not introduce.
(2) currently, thinking using the scholar of Raman spectroscopy quantitative analysis gas hydrates, the hydrate visitor of acquisition
Material concentration is directly proportional with itself for body Molecular Raman spectral peak area, and mostly with H2The raman spectra area of O be it is interior demarcate into
The calculating of row quantitative factor.Such as: acquired CH4And H2O raman spectra area is denoted as A respectivelyCH4And AH2O, then water-soluble
Dissolved methane content m in liquidCH4It is as follows with the relationship of raman spectra area ratio:Wherein,For opposite quantitative factor.The Quantitative Factors that above-mentioned quantitative relation formula cannot achieve multicomponent Gas Hydrate solve.
(3) it uses with H2The raman spectra area of O is the measurement that internal standard carries out aqueous solution intermediate ion concentration, is needed by matching
A variety of known concentration solution are made, and establish the relationship between concentration and raman spectrum peak area ratio after testing raman spectrum one by one
Formula, so as to find out opposite quantitative factor, such method cannot carry out Raman survey for a certain experimental system reacted
Examination, and operate relatively cumbersome.
Summary of the invention
The technical problem to be solved in the present invention is that providing a kind of base at least part defect in the prior art
In the multicomponent Gas Hydrate quantitative analysis method of Raman spectroscopy.
The multicomponent gas hydration based on Raman spectroscopy that in order to solve the above-mentioned technical problems, the present invention provides a kind of
Object quantitative analysis method, comprising the following steps:
Using the multicomponent gas gas phase in laser Raman spectroscopy test initial time reaction system, Raman spectrum is obtained
Figure, and the Raman peak area A that gas is respectively formed in device in Gas is calculated based on the Raman spectrogram1To An;
The multicomponent methane gas in initial time reaction system, which is extracted, using gas-chromatography sampler carries out gas-chromatography
Concentration analysis obtains the concentration value C that gas is respectively formed in the device in Gas of initial time1To Cn;
Any gas in device in Gas is selected respectively to form gas in the device in Gas based on initial time as reference gas K
Raman peak area A1To AnAnd the concentration value C of gas1To Cn, calculate opposite Raman of the gas m relative to reference gas K
Quantitative FactorsM=1,2 ..., n, K=1,2 ..., n and m ≠ K;
Raman spectrogram is measured at the moment to be measured of reaction system, calculates the raman spectra that the moment to be measured respectively forms gas
Area obtains each composition according to the raman spectra areal calculation that the opposite quantitative factor and moment to be measured respectively form gas
The concentration of gas.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the raman spectra areal calculation for respectively forming gas according to the opposite quantitative factor and moment to be measured obtain each group
At the concentration of gas, comprising:
Wherein, m=1,2 ..., n, Cm' and CK' be moment gas m and K to be measured concentration, Am' and AK' the difference moment to be measured
The raman spectra area of gas m and K.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground contains guest molecule CH in the device in Gas4、C2H6And N2。
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the method also includes: for I type structure hydrate, guest molecule in moment device in Gas to be measured is solved by following formula
Hole occupation rate:
Wherein, Δ μw,HFor chemical potential difference of the hydrone in hydrate lattice and Free water, R is ideal gas constant, T
To test moment reaction system temperature,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In water
Big hole occupation rate in object phase is closed,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2In hydrate phase
Middle foveola occupation rate, AL,CH4、AL,C2H6And AS,CH4、AS,N2The large and small hole of guest molecule is respectively corresponded on Raman spectrogram
Characteristic peak area.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the method also includes: for II type structure hydrate, guest molecule in moment device in Gas to be measured is solved by following formula
Hole occupation rate:
Wherein, Δ μw,HFor chemical potential difference of the hydrone in hydrate lattice and Free water, R is ideal gas constant, T
To test moment reaction system temperature,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In water
Big hole occupation rate in object phase is closed,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2In hydrate
Foveola occupation rate in phase, AL,CH4、AL,C2H6And AS,CH4、AS,N2The large and small hole of guest molecule is respectively corresponded on Raman spectrogram
Cave characteristic peak area.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the method also includes: for I type structure hydrate, it is calculated by the following formula hydrate hydration index N:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In hydrate Xiang Zhong great
Hole occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2The foveola in hydrate phase
Occupation rate.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the method also includes: for II type structure hydrate, it is calculated by the following formula hydrate hydration index N:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In hydrate Xiang Zhong great
Hole occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2The foveola in hydrate phase
Occupation rate.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the method also includes: for I type structure hydrate, guest molecule CH is gone out based on guest molecule hole occupation rate4、C2H6With
N2The proportion in hydrate phase, wherein CH4Proportion is calculated by the following formula in hydrate phase, C2H6And N2Meter
Calculation mode is same:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In hydrate Xiang Zhong great
Hole occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2The foveola in hydrate phase
Occupation rate.
In the multicomponent Gas Hydrate quantitative analysis method of the present invention based on Raman spectroscopy, preferably
Ground, the method also includes: for II type structure hydrate, guest molecule CH is gone out based on guest molecule hole occupation rate4、C2H6
And N2The proportion in hydrate phase, wherein CH4Proportion is calculated by the following formula in hydrate phase, C2H6And N2's
Calculation is same:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In hydrate Xiang Zhong great
Hole occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2The foveola in hydrate phase
Occupation rate.
Implement the multicomponent Gas Hydrate quantitative analysis method of the invention based on Raman spectroscopy, has with following
Beneficial effect: the present invention is not necessarily to prepare the system of known concentration, can establish the relationship between concentration and raman spectrum peak area ratio
Formula, so as to find out opposite quantitative factor, this method can carry out Raman for a certain experimental system reacted and quantitatively divide
Analysis operates relatively easy;And it can be realized using Raman spectroscopy and quantitative analysis is carried out to multicomponent methane gas hydrate.
Detailed description of the invention
Fig. 1 is the multicomponent Gas Hydrate quantitative analysis based on Raman spectroscopy according to the preferred embodiment of the present invention
The flow chart of method.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention
In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is
A part of the embodiments of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill people
Member's every other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
Referring to Fig. 1, for according to the multicomponent Gas Hydrate based on Raman spectroscopy of the preferred embodiment of the present invention
The flow chart of quantitative analysis method.As shown in Figure 1, the method that the embodiment provides at least includes the following steps:
Step S1: it using the multicomponent gas gas phase in laser Raman spectroscopy test initial time reaction system, obtains and draws
Graceful spectrogram, and the Raman peak area A that gas is respectively formed in device in Gas is calculated based on the Raman spectrogram1To An.Specifically, false
If multicomponent methane gas contains n kind gas in reaction system, the n that is denoted as 1,2 respectively ....Utilize laser Raman spectroscopy test reaction
Initial time multicomponent gas gas phase in system obtains Raman spectrogram, calculates gas at this time using swarming fitting software
The Raman peak area A of gas is respectively formed in gas1To An。
Step S2: the multicomponent methane gas in initial time reaction system is extracted using gas-chromatography sampler and carries out gas
The analysis of phase chromatographic concentrations, obtains the concentration value C that gas is respectively formed in the device in Gas of initial time1To Cn;
Step S3: selecting in device in Gas that any gas is as reference gas K, each group in the device in Gas based on initial time
At the Raman peak area A of gas1To AnAnd C1To Cn, calculate gas m relative to reference gas K opposite Raman quantify because
SonM=1,2 ..., n, K=1,2 ..., n and m ≠ K.For example, selecting a certain gas 2 in device in Gas is ginseng
Gas is examined, then K=2, by each composition gas Raman peak area value A1To An(be free of A2) respectively with the Raman peak area value of gas 2
A2Ratio as abscissa point, the concentration value C of gas secondly will be respectively formed in device in Gas1To Cn(be free of C2) respectively with gas 2
Concentration value C2Ratio as ordinate point, finally establish the linear relationship between ordinate point and abscissa point, such as:Opposite quantitative factor so as to find out gas n relative to gas 2
Step S4: measuring Raman spectrogram at the moment to be measured of reaction system, calculates the moment to be measured and respectively forms gas
Raman spectra area is obtained according to the raman spectra areal calculation that the opposite quantitative factor and moment to be measured respectively form gas
The concentration of each composition gas out.Preferably, it is calculated by the following formula the concentration of each composition gas:
Wherein, m=1,2 ..., n, Cm' and CK' be moment gas m and K to be measured concentration, Am' and AK' the difference moment to be measured
The raman spectra area of gas m and K.
Therefore, the present invention respectively forms gas concentration not in multicomponent methane gas with the lasting progress reacted in system
Disconnected variation, measures raman spectrum at any time, calculates the concentration that each composition gas can be calculated in raman spectra area.
Below to contain guest molecule CH in device in Gas4、C2H6And N2For, method of the invention is further illustrated.
In a preferred embodiment of the invention, guest molecule hole occupation rate in moment device in Gas to be measured can also be carried out
It calculates.
Hole occupation rate is the basis that Gas Hydrate parameter calculates, by calculating large and small hole occupation rate, thus to water
It closes object and carries out quantitative analysis.It is handled first with raman spectrum of the swarming fitting software to gas hydrated product, and convolution
Obtain each composition gas area in raman spectrum.Similar, the I type knot according to two kinds of structure hydrate hole occupation rate calculation methods
Big hole quantity is 3 times of foveola in structure hydrate, therefore the guest molecule quantity for occupying big hole is more, corresponding bands of a spectrum face
Product is larger;Foveola quantity is 2 times of big hole in II type structure hydrate, and foveola band area is larger, and guest molecule exists
Large and small hole occupation rate is indicated with following formula:
SI:
SII:
In formula: θL、θSThe large and small total occupation rate in hole, A respectively in gas hydrated productL、ASIn respectively large and small hole
The gross area of guest molecule characteristic peak.
Therefore, for I type structure hydrate, available following formula:
WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6Big hole accounts in hydrate phase
There is rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2The foveola occupation rate in hydrate phase,
AL,CH4、AL,C2H6And AS,CH4、AS,N2The large and small hole characteristic peak area of guest molecule is respectively corresponded on Raman spectrogram.
AL,CH4For CH on Raman spectrogram4Big hole characteristic peak area, AL,C2H6For C on Raman spectrogram2H6Big hole characteristic peak
Area, AS,CH4For CH on Raman spectrogram4Foveola characteristic peak area, AS,N2For N on Raman spectrogram2Foveola feature
Peak area.
In II type structure hydrate, available following formula:
To contain CH in system4、C2H6And N2For, identical hole can be also determined respectively using each component characteristic peak area
Middle each component proportionIn conjunction with water in Van der Waals-Platteeuw model in empty water
Closing object lattice and hydrate chemical potential difference can calculated hydration object hole occupation rate:
Δμw,H=Δ μ (h)-Δ μ (h0) (9)
SI:
SII:
In formula: Δ μw,HIt is hydrone in hydrate lattice and the chemical potential difference in Free water, by external all multi-experts
It determines, wherein I type hydrate Δ μw,HTake 1297J/mol, II type hydrate Δ μw,HTake 937J/mol.R is perfect gas
Constant, value 8.314Jmol-1·K-1.T is test moment reaction system temperature, unit K.By formula (3), (4), (5)
(10), each guest molecule big hole occupation rate in hydrate phase in I type structure hydrate can be calculated And
CH4、N2In foveola occupation rateWherein,WithGuest molecule in moment device in Gas respectively to be measured
CH4And C2H6The big hole occupation rate in hydrate phase,WithGuest molecule CH in moment device in Gas respectively to be measured4
And N2The foveola occupation rate in hydrate phase.By formula (6), (7), (8) and (11), can calculate in II type structure hydrate
Each guest molecule large and small hole occupation rate in hydrate phase
If large and small hole is occupied by guest molecule completely in hydrate, theoretically II type hydrate is compared to I type hydrate
Hydration index is smaller, and gas-storing capacity is more, and practical hydrate hydration index can be calculated by following formula:
SI:
SII:
By calculated each guest molecule in hydrate phase big hole occupation rateAnd CH4、N2In aperture
Cave occupation rateThe hydration of the Gas Hydrate in different types of structure can be calculated by substituting into formula (12) or (13)
Index N.
The present invention can further determine that gas is respectively formed in device in Gas occupies ratio in hydrate phase.Gas hydrated product
Molecular formula can indicate are as follows: MnH2O, M are guest molecule in hydrate phase, and n is the molar ratio of water and gas in hydrate,
Wherein M can be constituted according to gas component each in hydrate and be obtained.Still to contain CH in system4、C2H6And N2For, N2And C2H6
Proportion calculation method and CH in hydrate phase4It is similar, CH4Proportion can be calculated by following formula in hydrate phase:
SI:
SII:
Above sI refers to the calculation formula for I type structure hydrate, and sII refers to the meter for II type structure hydrate
Formula is calculated,
In conclusion the present invention provides a kind of multicomponent Gas Hydrate quantitative analysis based on Raman spectroscopy
The composition concentration that gas is respectively formed in the multicomponent methane gas at a certain moment in reaction system may be implemented in method, this method;
At the same time, the calculating that can also realize the multicomponent Gas Hydrate micro-parameter at differential responses moment, including guest molecule
The hydration index of sub-aperture cave occupation rate and Gas Hydrate.
Finally, it should be noted that the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations;Although
Present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: it still may be used
To modify the technical solutions described in the foregoing embodiments or equivalent replacement of some of the technical features;
And these are modified or replaceed, technical solution of various embodiments of the present invention that it does not separate the essence of the corresponding technical solution spirit and
Range.
Claims (9)
1. a kind of multicomponent Gas Hydrate quantitative analysis method based on Raman spectroscopy, which is characterized in that including following
Step:
Using the multicomponent gas gas phase in laser Raman spectroscopy test initial time reaction system, Raman spectrogram is obtained, and
The Raman peak area A that gas is respectively formed in device in Gas is calculated based on the Raman spectrogram1To An;
The multicomponent methane gas in initial time reaction system, which is extracted, using gas-chromatography sampler carries out gas-chromatography concentration
Analysis, obtains the concentration value C that gas is respectively formed in the device in Gas of initial time1To Cn;
Any gas in device in Gas is selected respectively to form the drawing of gas in the device in Gas based on initial time as reference gas K
Graceful peak area A1To AnAnd the concentration value C of gas1To Cn, calculate gas m relative to reference gas K opposite Raman quantify
The factorM=1,2 ..., n, K=1,2 ..., n and m ≠ K;
Raman spectrogram is measured at the moment to be measured of reaction system, calculates the raman spectra face that the moment to be measured respectively forms gas
Product obtains each composition gas according to the raman spectra areal calculation that the opposite quantitative factor and moment to be measured respectively form gas
The concentration of body.
2. the multicomponent Gas Hydrate quantitative analysis method according to claim 1 based on Raman spectroscopy, special
Sign is, obtains each group according to the raman spectra areal calculation that the opposite quantitative factor and moment to be measured respectively form gas
At the concentration of gas, comprising:
Wherein, m=1,2 ..., n, Cm' and CK' be moment gas m and K to be measured concentration, Am' and AK' difference moment gas m to be measured
With the raman spectra area of K.
3. the multicomponent Gas Hydrate quantitative analysis method according to claim 1 or 2 based on Raman spectroscopy,
It is characterized in that, guest molecule CH is contained in the device in Gas4、C2H6And N2。
4. the multicomponent Gas Hydrate quantitative analysis method according to claim 3 based on Raman spectroscopy, special
Sign is, the method also includes: for I type structure hydrate, object in moment device in Gas to be measured is solved by following formula
Molecule hole occupation rate:
Wherein, Δ μw,HFor chemical potential difference of the hydrone in hydrate lattice and Free water, R is ideal gas constant, and T is to survey
Moment reaction system temperature is tried,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In hydrate
Big hole occupation rate in phase,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2In hydrate phase
Foveola occupation rate, AL,CH4、AL,C2H6And AS,CH4、AS,N2The large and small hole that guest molecule is respectively corresponded on Raman spectrogram is special
Levy peak area.
5. the multicomponent Gas Hydrate quantitative analysis method according to claim 3 based on Raman spectroscopy, special
Sign is, the method also includes: for II type structure hydrate, object in moment device in Gas to be measured is solved by following formula
Molecule hole occupation rate:
Wherein, Δ μw,HFor chemical potential difference of the hydrone in hydrate lattice and Free water, K is ideal gas constant, and T is to survey
Moment reaction system temperature is tried,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6In hydrate
Big hole occupation rate in phase,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2In hydrate phase
Foveola occupation rate, AL,CH4、AL,C2H6And AS,CH4、AS,N2The large and small hole that guest molecule is respectively corresponded on Raman spectrogram is special
Levy peak area.
6. the multicomponent Gas Hydrate quantitative analysis method according to claim 4 based on Raman spectroscopy, special
Sign is, the method also includes: for I type structure hydrate, it is calculated by the following formula hydrate hydration index N:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6The big hole in hydrate phase
Occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2Foveola occupies in hydrate phase
Rate.
7. the multicomponent Gas Hydrate quantitative analysis method according to claim 5 based on Raman spectroscopy, special
Sign is, the method also includes: for II type structure hydrate, it is calculated by the following formula hydrate hydration index N:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6The big hole in hydrate phase
Occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2Foveola occupies in hydrate phase
Rate.
8. the multicomponent Gas Hydrate quantitative analysis method according to claim 4 based on Raman spectroscopy, special
Sign is, the method also includes: for I type structure hydrate, guest molecule CH is gone out based on guest molecule hole occupation rate4、
C2H6And N2The proportion in hydrate phase, wherein CH4Proportion is calculated by the following formula in hydrate phase, C2H6With
N2Calculation it is same:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6The big hole in hydrate phase
Occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2Foveola occupies in hydrate phase
Rate.
9. the multicomponent Gas Hydrate quantitative analysis method according to claim 5 based on Raman spectroscopy, special
Sign is, the method also includes: for II type structure hydrate, guest molecule CH is gone out based on guest molecule hole occupation rate4、
C2H6And N2The proportion in hydrate phase, wherein CH4Proportion is calculated by the following formula in hydrate phase, C2H6With
N2Calculation it is same:
Wherein,WithGuest molecule CH in moment device in Gas respectively to be measured4And C2H6The big hole in hydrate phase
Occupation rate,WithGuest molecule CH in moment device in Gas respectively to be measured4And N2Foveola occupies in hydrate phase
Rate.
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CN112461812A (en) * | 2020-12-01 | 2021-03-09 | 中国科学院广州能源研究所 | Method for measuring gas saturation of gas hydrate |
CN113324973A (en) * | 2021-05-17 | 2021-08-31 | 重庆大学 | Multi-factor correction Raman spectrum quantitative analysis method combined with spectrum internal standard |
CN113324973B (en) * | 2021-05-17 | 2022-04-26 | 重庆大学 | Multi-factor correction Raman spectrum quantitative analysis method combined with spectrum internal standard |
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