CN109033553A - A kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology - Google Patents

A kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology Download PDF

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CN109033553A
CN109033553A CN201810724745.0A CN201810724745A CN109033553A CN 109033553 A CN109033553 A CN 109033553A CN 201810724745 A CN201810724745 A CN 201810724745A CN 109033553 A CN109033553 A CN 109033553A
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storage tank
leak
formula
unit
liquid
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CN109033553B (en
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何娟霞
杨荔椋
刘博�
贾旭辉
湛永钟
杨大平
隆桂阳
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Guangxi University
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F30/20—Design optimisation, verification or simulation
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06Q10/0635—Risk analysis of enterprise or organisation activities

Abstract

The invention discloses a kind of computation models based on the continuous real time leak amount of atmospheric vertical storage tank ontology, it include: after an is based on atmospheric vertical tank leak, liquid flows out instantaneous mass flow rate mathematical model through the hole on storage tank, in conjunction with volume flow rate formula, mass conservation law, material declines flow-rate profile in storage tank after the leakage of liquid level characterization above building leak；Two, decline flow velocity derivation to storage tank level by storage tank level falling head, introduce storage tank level decrease speed change rate；Three, integrate liquid level decrease speed change rate, storage tank level decline flow velocity in continuous release for a period of time inner storage tank, construct the computation model of the continuous real time leak amount of storage tank ontology.Computation model of the invention can improve the accuracy that the continuous real time leak amount of storage tank ontology calculates, and the calculating of continuous release amount is not influenced by storage tank ontology leak position in any leak time section, is had broad application prospects in terms of the calculating of the continuous real time leak amount of atmospheric vertical storage tank ontology.

Description

A kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology
Technical field
The present invention relates to tank leak analytical calculation fields, and in particular to a kind of atmospheric vertical based on leak time characterization The continuous real time leak amount model for accurate calculation of any weak part of storage tank ontology.
Background technique
After atmospheric vertical storage tank leaks, liquid leakage amount is damage sequence and wave caused by after analyzing tank leak And the strong foundation of range, leakage rate accurately calculate for prevent and formulate accident prevention provide it is scientific and effective according to According to.
It calculates the continuous currently used method of real time leak amount of atmospheric vertical storage tank ontology and is roughly equal to instantaneous mass stream The product of rate and leak time, the basic principle of this method are according to atmospheric vertical storage tank starting leakage moment instantaneous mass stream Rate is multiplied with continuous release time value to be calculated and obtains.Because instantaneous mass flow rate constantly changes with leak time, i.e., instantaneous matter It is instantaneous that amount flow rate calculation model is only used for a certain moment material after calculating atmospheric vertical storage tank ontology any time, arbitrary point leakage Mass flowrate, it is impossible to be used in accurately calculate a certain continuous time period internal leakage amount of liquid of atmospheric vertical storage tank.This problem causes At present caused by being difficult to meet to analyze after tank leak in terms of calculating atmospheric vertical storage tank ontology continuous release amount accuracy Damage sequence and involve range provide exact value foundation, it is difficult to for prevention and formulation accident prevention provide it is scientific and effective Accurate foundation.
Summary of the invention
The present invention provides a kind of computation models based on the continuous real time leak amount of atmospheric vertical storage tank ontology, with leakage The calculating of the continuous real time leak amount of atmospheric vertical storage tank ontology of time accurate Characterization.
The technical scheme to solve the above technical problems is that
A kind of model for accurate calculation based on the continuous real time leak amount of atmospheric vertical storage tank ontology, leaking rate formulas is such as Under:
In formula:
M --- liquid leakage amount, kg；
ρ --- fluid density, unit kg/m3；
T --- leak time, unit s；
A --- leakage hole area, unit m2；
A1--- the floor space of storage tank, unit m2；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m.
Model for accurate calculation based on the continuous real time leak amount of atmospheric vertical storage tank ontology of the invention, the specific structure of model Build process the following steps are included:
Material declines flow-rate profile in storage tank after the leakage of liquid level characterization above one, building leak
The first step, based on instantaneous mass flow rate in " chemical company's Quantitative Risk Evaluation directive/guide " (AQ/T 3046-2013) Mathematical model constructs material flow meter at the leak that liquid level characterizes above leak in combination with volume flow rate formula Calculate model；
" chemical company's Quantitative Risk Evaluation directive/guide " (E1.2 liquid is through the hole on storage tank by (AQ/T 3046-2013) annex E Outflow) in:
Calculate instantaneous mass flow rate formula are as follows:
In formula:
Qm--- mass flowrate, unit kg/s；
P --- fluid pressure in storage tank, unit Pa；
P0--- environmental pressure, unit Pa；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
A --- leakage hole area, unit m2；
ρ --- fluid density, unit kg/m3；
hL--- leak upper liquid height, unit m.
There is following derivation formula according to hydrodynamics correlation formula:
In formula:
Qv--- volume flow, unit m3/s；
The continuity equation always flowed according to hydrodynamics has, for incompressible liquid:
Qv=Av ... (1-3)
In formula:
V --- the flow velocity of material at leak, unit m/s.
Had by formula (1-1), formula (1-2), formula (1-3):
It can thus be concluded that:
Material flow computation model at the leak that second step, bond quality law of conservation and the above-mentioned first step obtain, structure Build material decline flow velocity computation model in the storage tank that liquid level characterizes above leak；
Had by mass conservation law:
Av=A1v1……(1-6)
In formula:
A1--- the floor space of storage tank, unit m2；
v1--- the speed that material declines in storage tank, unit m/s；
Had by formula (1-5), formula (1-6):
Two, decline flow velocity derivation to storage tank level by storage tank level falling head, introduce storage tank level decline Percentage speed variation
Third step introduces the height of storage tank level decline, leak constructs apart from tank bottom height and is suitable for storage tank Material declines flow velocity computation model in the storage tank of any weak part leakage；
If the position of leak is indefinite, if h1It is leak apart from tank bottom height, then:
hL=h-h1-Δh……(1-8)
In formula:
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m；
Δ h --- after storage tank leaks, the height of liquid level decline, unit m.
To formula (1-7) square, substitute into formula (1-8), then:
4th step declines flow velocity derivation to storage tank level by the height of storage tank level decline, introduces liquid in storage tank Face decrease speed change rate；
It can then be obtained by formula (1-9):
Enabling t is leak time, is had by derivation formula:
In formula:
T --- leak time, unit s.
It enables: a1To store up tank level decrease speed change rate, then:
In formula:
a1--- storage tank level decrease speed change rate, unit m/s2。
Had by formula (1-10), formula (1-11), formula (1-12):
It is obtained by formula (1-13):
Three, to liquid level decrease speed change rate in continuous release for a period of time inner storage tank, storage tank level decline flow velocity into Row integral, constructs a kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology.
5th step integrates liquid level decrease speed change rate in continuous release for a period of time inner storage tank, obtains with letting out The storage tank level for leaking time representation declines flow velocity computation model；
Therefore:
In formula:
C1--- function constant.
As t=0, v1Maximum, Δ h=0 at this time, therefore:
Therefore:
6th step integrates liquid level decline flow velocity in continuous release for a period of time inner storage tank, obtains using leak time The storage tank level falling head computation model of characterization；
In formula:
C2--- function constant.
As t=0, Δ h=0, therefore C2=0, so that
7th step obtains the leakage characterized with leak time based on the storage tank level falling head characterized with leak time Hole upper liquid height；
By: hL=h-h1Δ h, obtains:
8th step introduces quality calculation formula in conjunction with the storage tank level falling head characterized with leak time and obtains one Computation model of the kind based on the continuous real time leak amount of atmospheric vertical storage tank ontology.
M=ρ × A1× Δ h ... (wherein Δ h≤h-h1)(1-23)
In formula:
M --- liquid leakage amount, kg；
Then had by formula (1-21), formula (1-23):
Formula (1-24) has been further simplified:
In formula:
M --- liquid leakage amount, kg；
ρ --- fluid density, unit kg/m3；
T --- leak time, unit s；
A --- leakage hole area, unit m2；
A1--- the floor space of storage tank, unit m2；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m.
Beneficial effects of the present invention: the present invention is by establishing the calculating mould of the continuous real time leak amount of atmospheric vertical storage tank ontology Type determines the relationship of leakage rate Yu continuous release period, can improve the accuracy that continuous real time leak amount calculates.And it is any The calculating of continuous release amount has the advantages that not influenced by atmospheric vertical storage tank ontology leak position in leak time section, certain It is capable of the generation of prevention and control risk in degree.The continuous real time leak of atmospheric vertical storage tank ontology of method of the invention in storage liquid It has broad application prospects in terms of the calculating of amount.
Detailed description of the invention
Fig. 1 is modeling procedure flow chart of the invention.
Fig. 2 is instance analysis computation modeling flow chart of the invention.
Specific embodiment
The technical scheme of the present invention will be further described with embodiment with reference to the accompanying drawing.
Embodiment:
A kind of model for accurate calculation based on the continuous real time leak amount of atmospheric vertical storage tank ontology, detailed process include with Lower step:
Material declines flow-rate profile in storage tank after the leakage of liquid level characterization above one, building leak
The first step, based on instantaneous mass flow rate in " chemical company's Quantitative Risk Evaluation directive/guide " (AQ/T 3046-2013) Mathematical model constructs material flow meter at the leak that liquid level characterizes above leak in combination with volume flow rate formula Calculate model；
" chemical company's Quantitative Risk Evaluation directive/guide " (E1.2 liquid is through the hole on storage tank by (AQ/T 3046-2013) annex E Outflow) in:
Calculate instantaneous mass flow rate formula are as follows:
In formula:
Qm --- mass flowrate, unit kg/s；
P --- fluid pressure in storage tank, unit Pa；
P0 --- environmental pressure, unit Pa；
C0 --- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
A --- leakage hole area, unit m2；
ρ --- fluid density, unit kg/m3；
HL --- leak upper liquid height, unit m.
There is following derivation formula according to hydrodynamics correlation formula:
In formula:
Qv--- volume flow, unit m3/s；
The continuity equation always flowed according to hydrodynamics has, for incompressible liquid:
Qv=Av ... (1-3)
In formula:
V --- the flow velocity of material at leak, unit m/s.
Had by formula (1-1), formula (1-2), formula (1-3):
It can thus be concluded that:
Material flow computation model at the leak that second step, bond quality law of conservation and the above-mentioned first step obtain, structure Build material decline flow velocity computation model in the storage tank that liquid level characterizes above leak；
Had by mass conservation law:
Av=A1v1……(1-6)
In formula:
The floor space of A1 --- storage tank, unit m2；
V1 --- the speed that material declines in storage tank, unit m/s；
Had by formula (1-5), formula (1-6):
Two, decline flow velocity derivation to storage tank level by storage tank level falling head, introduce storage tank level decline Percentage speed variation.
4th step introduces the height of storage tank level decline, leak constructs apart from tank bottom height and is suitable for storage tank Material declines flow velocity computation model in the storage tank of any weak part leakage；
If the position of leak is indefinite, if h1 is leak apart from tank bottom height, then:
hL=h-h1-Δh……(1-8)
In formula:
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m；
Δ h --- after storage tank leaks, the height of liquid level decline, unit m.
To formula (1-7) square, substitute into formula (1-8), then:
5th step declines flow velocity derivation to storage tank level by the height of storage tank level decline, introduces liquid in storage tank Face decrease speed change rate；
It can then be obtained by formula (1-9):
Enabling t is leak time, is had by derivation formula:
In formula:
T --- leak time, unit s.
It enables: a1To store up tank level decrease speed change rate, then:
In formula:
a1--- storage tank level decrease speed change rate, unit m/s2。
Had by formula (1-10), formula (1-11), formula (1-12):
It is obtained by formula (1-13):
Three, to liquid level decrease speed change rate in continuous release for a period of time inner storage tank, storage tank level decline flow velocity into Row integral, constructs a kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology.
6th step integrates liquid level decrease speed change rate in continuous release for a period of time inner storage tank, obtains with letting out The storage tank level for leaking time representation declines flow velocity computation model；
Therefore:
In formula:
C1--- function constant.
As t=0, v1Maximum, Δ h=0 at this time, therefore:
Therefore:
7th step integrates liquid level decline flow velocity in continuous release for a period of time inner storage tank, obtains using leak time The storage tank level falling head computation model of characterization；
In formula:
C2--- function constant.
As t=0, Δ h=0, therefore C2=0, so that
8th step obtains the leakage characterized with leak time based on the storage tank level falling head characterized with leak time Hole upper liquid height；
By: hL=h-h1Δ h, obtains:
9th step introduces quality calculation formula in conjunction with the storage tank level falling head characterized with leak time and obtains one Computation model of the kind based on the continuous real time leak amount of atmospheric vertical storage tank ontology.
M=ρ × A1× Δ h ... (wherein Δ h≤h-h1) (1-23)
In formula:
M --- liquid leakage amount, kg；
Then had by formula (1-21), formula (1-23):
Formula (1-24) has been further simplified:
In formula:
M --- liquid leakage amount, kg；
ρ --- fluid density, unit kg/m3；
T --- leak time, unit s；
A --- leakage hole area, unit m2；
A1--- the floor space of storage tank, unit m2；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m.
The liquid leakage amount of the corresponding different leakage scenes of the computation model computational chart 5 derived according to the present invention.
By taking gasoline tank as an example, gasoline tank relevant parameter derives from middle petrochemical industry oil depot tank information, particularly relevant ginseng Number is shown in Table 1, and gasoline tank parameter is as follows: flask volume V=10000m3；Internal diameter D=30m；Height is H=19.341m；Storage tank Interior original liquid height is calculated by h=12m (storage tank filling ratio is calculated by 0.84)；Its tank field detection system grade is A, isolation System-level is C.
1 atmospheric vertical gasoline tank relevant parameter list of table
According to " chemical company's Quantitative Risk Evaluation directive/guide " (AQ/T 3046-2013 " 8.1.1 leakage scene according to leak Diameter size, which can be divided into, to be completely severed and hole leakage two major classes, and representational leakage scene is shown in Table 2 leakage scenes, then foundation table 2 leakage scenes have: small hole leaking, leak aperture take its typical value 5mm；Mesoporous leakage, leak aperture takes its typical value 25mm；Macropore leakage, leak aperture takes its typical value 100mm.
Table 2 leaks scene
According to " chemical company's Quantitative Risk Evaluation directive/guide " (AQ/T 3046-2013 " annex F obtains: evaluation continuity leakage When detection and shielding system be classified guide, be shown in Table 3, by detection and shielding system classification, in conjunction with people because analysis as a result, Leak time under each aperture is shown in Table 4.
Table 3 is detection and shielding system is classified guide, the information provided in the table the only use when evaluating continuity leakage.
The classification guide of table 3 detection and shielding system
By the classification to detection and shielding system, in conjunction with people because analysis is as a result, the leak time under each aperture is shown in Table 4.
Leak time of the table 4 based on detection and shielding system grade
Determine that atmospheric vertical gasoline tank leaks scene in instance analysis, is specifically shown according to above-mentioned table 2, table 3,4 content of table Table 5.
Table 5 leaks scene parameter list
It is calculated according to " accident investigation and the analytical technology second edition " 6.2.1.2 leakage rate: if atmospheric vertical storage tank is sent out The breach of raw leakage be it is regular, then breach shape has circle, polygon, triangle, rectangle.Liquid leakage coefficient C0It is shown in Table 6。
6 liquid leakage coefficient C of table0
By the leaking gasoline amount under the different leakage scenes of computation model computational chart 5 of the invention, example calculated result is shown in Table 7.
7 the actual calculation of table
Above example is merely to illustrate technical idea and feature of the invention, and its object is to make technology people in the art Member only cannot limit the scope of the patents of the invention with this example it will be appreciated that the contents of the present invention and implement accordingly, i.e., and all Same changes or modifications made by revealed spirit are invented, are still fallen in the scope of the patents of the invention.

Claims (2)

1. a kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology, it is characterised in that: the company of the model Continuous real time leak amount calculating is as follows,
In formula:
M --- liquid leakage amount, kg；
ρ --- fluid density, unit kg/m3；
T --- leak time, unit s；
A --- leakage hole area, unit m2；
A1--- the floor space of storage tank, unit m2；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m.
2. the computation model according to claim 1 based on the continuous real time leak amount of atmospheric vertical storage tank ontology, feature Be: the model construction the following steps are included:
(1) material declines flow-rate profile in storage tank after the leakage of liquid level characterization above building leak
The first step, based on instantaneous mass flow rate mathematics in " chemical company's Quantitative Risk Evaluation directive/guide " (AQ/T 3046-2013) Model constructs material flow at the leak that liquid level characterizes above leak and calculates mould in combination with volume flow rate formula Type；
(E1.2 liquid flows " chemical company's Quantitative Risk Evaluation directive/guide " (AQ/T 3046-2013) annex E through the hole on storage tank In out):
Calculate instantaneous mass flow rate formula are as follows:
In formula:
Qm--- mass flowrate, unit kg/s；
P --- fluid pressure in storage tank, unit Pa；
P0--- environmental pressure, unit Pa；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
A --- leakage hole area, unit m2；
ρ --- fluid density, unit kg/m3；
hL--- leak upper liquid height, unit m；
There is following derivation formula according to hydrodynamics correlation formula:
In formula:
Qv--- volume flow, unit m3/s；
The continuity equation always flowed according to hydrodynamics has, for incompressible liquid:
Qv=Av ... (1-3)
In formula:
V --- the flow velocity of material at leak, unit m/s；
It is derived by formula (1-1), formula (1-2), formula (1-3):
It can thus be concluded that:
Material flow computation model at the leak that second step, bond quality law of conservation and the above-mentioned first step obtain, building are let out Material declines flow velocity computation model in the storage tank of liquid level characterization above leak hole；
Had by mass conservation law:
Av=A1v1……(1-6)
In formula:
A1--- the floor space of storage tank, unit m2；
v1--- the speed that material declines in storage tank, unit m/s；
Had by formula (1-5), formula (1-6):
(2) flow velocity derivation is declined to storage tank level by storage tank level falling head, introduces storage tank level decrease speed Change rate；
Third step, height, the leak for introducing storage tank level decline are any suitable for storage tank apart from the building of tank bottom height Material declines flow velocity computation model in the storage tank of weak part leakage；
If the position of leak is indefinite, if h1It is leak apart from tank bottom height, then:
hL=h-h1-Δh……(1-8)
In formula:
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m；
Δ h --- after storage tank leaks, the height of liquid level decline, unit m；
To formula (1-7) square, substitute into formula (1-8), then:
4th step declines flow velocity derivation to storage tank level by the height of storage tank level decline, introduces under storage tank level Percentage speed variation drops；
It can then be obtained by formula (1-9):
Enabling t is leak time, is had by derivation formula:
In formula:
T --- leak time, unit s；
It enables: a1To store up tank level decrease speed change rate, then:
In formula:
a1--- storage tank level decrease speed change rate, unit m/s2；
Had by formula (1-10), formula (1-11), formula (1-12):
It is obtained by formula (1-13):
(3) liquid level decrease speed change rate, storage tank level decline flow velocity in continuous release for a period of time inner storage tank are accumulated Point, construct a kind of computation model based on the continuous real time leak amount of atmospheric vertical storage tank ontology；
5th step integrates liquid level decrease speed change rate in continuous release for a period of time inner storage tank, when obtaining with leakage Between characterize storage tank level decline flow velocity computation model；
Therefore:
In formula:
C1--- function constant；
As t=0, v1Maximum, Δ h=0 at this time, therefore:
Therefore:
6th step integrates liquid level decline flow velocity in continuous release for a period of time inner storage tank, obtains being characterized with leak time Storage tank level falling head computation model；
In formula:
C2--- function constant；
As t=0, Δ h=0, therefore C2=0, so that
7th step is obtained on the leak characterized with leak time based on the storage tank level falling head characterized with leak time Square liquid height；
By: hL=h-h1Δ h, obtains:
9th step introduces quality calculation formula in conjunction with the storage tank level falling head characterized with leak time and obtains a kind of base In the computation model of the continuous real time leak amount of atmospheric vertical storage tank ontology；
M=ρ × A1× Δ h ... (wherein Δ h≤h-h1) (1-23)
In formula:
M --- liquid leakage amount, kg；
Then had by formula (1-21), formula (1-23):
Formula (1-24) has been further simplified:
In formula:
M --- liquid leakage amount, kg；
ρ --- fluid density, unit kg/m3；
T --- leak time, unit s；
A --- leakage hole area, unit m2；
A1--- the floor space of storage tank, unit m2；
C0--- liquid leakage coefficient；
G --- acceleration of gravity, 9.8m/s2；
H --- before storage tank does not leak, original liquid height in storage tank, unit m；
h1--- leak is apart from tank bottom height, unit m.
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109916348A (en) * 2019-03-21 2019-06-21 广西大学 One kind landing horizontal distance S computation model based on liquid at vertical storage tank ontology leakage hole
CN110083968A (en) * 2019-05-08 2019-08-02 中国船舶重工集团公司第七0三研究所 The compressor characteristics prediction technique of numerical model is influenced based on amendment sealing gland amount of leakage
CN111207803A (en) * 2020-01-16 2020-05-29 广西大学 Pure liquid leakage mass flow rate Q based on liquid ammonia horizontal tankmCalculation model

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Publication number Priority date Publication date Assignee Title
CN105890844A (en) * 2016-06-11 2016-08-24 税爱社 Qualitative and quantitative detection method for tiny leakage of hidden oil storage tank

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109916348A (en) * 2019-03-21 2019-06-21 广西大学 One kind landing horizontal distance S computation model based on liquid at vertical storage tank ontology leakage hole
CN110083968A (en) * 2019-05-08 2019-08-02 中国船舶重工集团公司第七0三研究所 The compressor characteristics prediction technique of numerical model is influenced based on amendment sealing gland amount of leakage
CN110083968B (en) * 2019-05-08 2022-09-27 中国船舶重工集团公司第七0三研究所 Compressor characteristic prediction method based on correction of gas seal leakage influence numerical model
CN111207803A (en) * 2020-01-16 2020-05-29 广西大学 Pure liquid leakage mass flow rate Q based on liquid ammonia horizontal tankmCalculation model

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