Device and method for total cross-section measurement of mass flow rate of gas, liquid and solid in multiphase flow
AssigneeSea Pioneers Technologies Co., Ltd.
InventorJige Chen
Life of this patent
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Abstract
A device for total cross-section measurement of a mass flow rate of gas, liquid and solid in a multiphase flow includes a gamma-ray source, a gamma-ray detector, and a differential pressure type flowmeter. The differential pressure type flowmeter includes a throat section, and the gamma-ray source and the gamma-ray detector are respectively disposed at opposite positions on both sides of the throat section. The gamma-ray detector is an array including a plurality of detection units, and the gamma-ray source is configured to emit gamma rays covering the measurement cross-section of the throat section. The gamma-ray detector is configured to receive the gamma rays passing through the measurement cross-section of the throat section.
Claims7
A method for total cross-section measurement of mass flow rates of gas, liquid and solid phases in a multiphase flow using a device;
- wherein:
- the device comprises a gamma-ray source and a gamma-ray detector that form a detection pair, and a differential pressure type flowmeter;
- wherein:
- the differential pressure type flowmeter comprises a throat section having a cross section;
- the gamma-ray source and the gamma-ray detector are respectively disposed at opposite positions on two opposite sides of the throat section;
- the gamma-ray detector is in the form of an array comprising a plurality of detection units, and the gamma-ray source is configured to emit gamma rays that have a full coverage of the cross section of the throat section, and the gamma-ray detector is configured to receive the gamma rays passing through the cross section of the throat section;
- the differential pressure type flowmeter is configured to measure a total mass flow rate of a multiphase flow;
- the detection pair is configured to measure mass phase fractions of the multiphase flow in a full coverage of the cross section;
- and
- the gamma-ray source is adapted to use a single radiation source to emit gamma rays;
- the method comprises:
- a) measuring a temperature T of the multiphase flow by a temperature sensor, measuring a pressure difference ΔP between an inlet of the differential pressure type flowmeter and the throat section;
- and
- measuring transmission intensities Nx1, Nx2, Nx3 of three gamma rays by the gamma-ray detector;
- b) calculating a total mass flow rate of the multiphase flow and respective mass flow rates of gas, liquid and solid phases of the multiphase flow according to the following formula:
- total mass flow rate:
- Q
- m
- =
- C
- 1
- -
- β
- 4
-
- ε
-
- π
- 4
-
- D
- 2
-
- Δ
-
- P
-
- ρ
- m
-
- i
-
- x
- ;
- Qm,g=Qm*GMF;
- gas mass flow rate:
- Qm,l=Qm*LMF;
- liquid mass flow rate:
- Qm,s=Qm*SMF;
- solid mass flow rate:
- where,
- gas mass fraction,
- G
-
- M
-
- F
- =
- Q
- g
- Q
- g
- +
- Q
- l
- +
- Q
- s
- ;
- liquid mass fraction,
- L
-
- M
-
- F
- =
- Q
- l
- Q
- g
- +
- Q
- l
- +
- Q
- s
- ;
- solid mass fraction,
- S
-
- M
-
- F
- =
- Q
- s
- Q
- g
- +
- Q
- l
- +
- Q
- s
- ;
- where, Qg, Ql, Qs are respectively linear masses of the gas, liquid, and solid phases, and
- Q
- g
- =
- θ
- -
- (
- k
- 2
- -
- 1
- )
-
- (
- d
- 1
- -
- d
- 2
- )
- +
- (
- k
- 4
- -
- k
- 2
- )
-
- (
- d
- 1
- -
- θ
- )
- (
- k
- 2
- -
- 1
- )
-
- (
- k
- 1
- -
- k
- 3
- )
- +
- (
- k
- 4
- -
- k
- 2
- )
-
- (
- k
- 1
- -
- 1
- )
- -
- (
- k
- 3
- -
- 1
- )
-
- (
- d
- 1
- -
- d
- 2
- )
- +
- (
- k
- 3
- -
- k
- 1
- )
-
- (
- d
- 1
- -
- θ
- )
- (
- k
- 3
- -
- 1
- )
-
- (
- k
- 2
- -
- k
- 4
- )
- +
- (
- k
- 3
- -
- k
- 1
- )
-
- (
- k
- 4
- -
- 1
- )
- ;
-
- Q
- l
- =
- (
- k
- 2
- -
- 1
- )
-
- (
- d
- 1
- -
- d
- 2
- )
- +
- (
- k
- 4
- -
- k
- 2
- )
-
- (
- d
- 1
- -
- θ
- )
- (
- k
- 2
- -
- 1
- )
-
- (
- k
- 1
- -
- k
- 3
- )
- +
- (
- k
- 4
- -
- k
- 2
- )
-
- (
- k
- 1
- -
- 1
- )
- ;
-
- Q
- s
- =
- (
- k
- 3
- -
- 1
- )
-
- (
- d
- 1
- -
- d
- 2
- )
- +
- (
- k
- 3
- -
- k
- 1
- )
-
- (
- d
- 1
- -
- θ
- )
- (
- k
- 3
- -
- 1
- )
-
- (
- k
- 2
- -
- k
- 4
- )
- +
- (
- k
- 3
- -
- k
- 1
- )
-
- (
- k
- 4
- -
- 1
- )
- ;
-
- where
- ,
- θ
- =
- π
- 4
-
- (
- c
- 1
- -
- β
- 4
-
- ε
-
- D
- )
- 2
-
- Δ
-
- P
-
- t
- l
- ;
-
- k
- 1
- =
- a
- l
- ,
- 1
- -
- a
- l
- ,
- 2
- a
- g
- ,
- 1
- -
- a
- g
- ,
- 2
- ;
-
- k
- 2
- =
- a
- s
- ,
- 1
- -
- a
- s
- ,
- 2
- a
- g
- ,
- 1
- -
- a
- g
- ,
- 2
- ;
-
- d
- 1
- =
- 1
- a
- g
- ,
- 1
- -
- a
- g
- ,
- 2
-
- ln
-
- (
- f
- 1
- N
- x
- ,
- 2
- )
- -
- ln
-
- (
- N
- x
- ,
- 1
- )
- ;
-
- k
- 3
- =
- a
- l
- ,
- 1
- -
- a
- l
- ,
- 3
- a
- g
- ,
- 1
- -
- a
- g
- ,
- 3
- ;
-
- k
- 4
- =
- a
- s
- ,
- 1
- -
- a
- s
- ,
- 3
- a
- g
- ,
- 1
- -
- a
- g
- ,
- 3
- ;
-
- d
- 2
- =
- 1
- a
- g
- ,
- 1
- -
- a
- g
- ,
- 3
-
- ln
-
- (
- f
- 2
- N
- x
- ,
- 3
- )
- -
- ln
-
- (
- N
- x
- ,
- 1
- )
- ;
- letters in each formula are defined as follows:
- C:
- a discharge coefficient of a differential pressure type flowmeter;
- ε:
- a compression correction factor of the multiphase flow;
- β:
- a diameter ratio of the differential pressure type flowmeter;
- D:
- a thickness measured by gamma rays, also a diameter of a fluid pipe;
- ΔP:
- the pressure difference;
- f1, f2:
- initial intensity ratios of a second gamma ray and a third gamma ray to a first gamma ray;
- ρmix:
- an average density of the measured flow;
- ρ
- m
-
- i
-
- x
- =
- (
- Q
- g
- +
- Q
- l
- +
- Q
- s
- )
- /
- S
-
- t
- l
- ;
- S is an area of the measured cross-section;
- S
- =
- π
- 4
-
- D
- 2
- ,
- l is a unit length, t is a unit time;
- α is a mass absorption coefficient of the multiphase flow for gamma rays, Q is the mass flow rate of the multiphase flow to be measured, subscripts 1, 2 and 3 respectively represent gamma rays of different energy levels;
- all calculation results are weighted and averaged to obtain a final and accurate linear mass value of each phase according to the following formulas:
- Qg=Σ(Xi/D*Qgi)/Σ(Xi/D);
- Ql=Σ(Xi/D*Qli)/Σ(Xi/D);
- Qs=Σ(Xi/D*Qsi)/Σ(Xi/D);
- Qg, Ql, Qs are final linear masses of gas, liquid and solid phases of the multiphase flow;
- D is a diameter of the throat section of the differential pressure type flowmeter, X is a distance passed by each gamma ray in the throat section, Qgi, Qli, Qsi are linear mass values measured after each gamma ray passes through the throat section.
Dependencies are inferred from the claim text.