CN105672968B - Oil reservoir exploitation method - Google Patents

Oil reservoir exploitation method Download PDF

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CN105672968B
CN105672968B CN201610171707.8A CN201610171707A CN105672968B CN 105672968 B CN105672968 B CN 105672968B CN 201610171707 A CN201610171707 A CN 201610171707A CN 105672968 B CN105672968 B CN 105672968B
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msub
steam injection
section
mrow
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CN105672968A (en
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贺梦琦
张绍辉
陈小凯
王玲
纪加
韩东
杨连行
马振
贾俊敏
王文刚
匡韶华
郝玲
刘满军
候兴卫
佟德水
王昕�
马威
哈长鸣
孙博
张红军
戚勇
邵堃
丁晓
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Petrochina Co Ltd
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    • EFIXED CONSTRUCTIONS
    • E21EARTH OR ROCK DRILLING; MINING
    • E21BEARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/16Enhanced recovery methods for obtaining hydrocarbons
    • E21B43/24Enhanced recovery methods for obtaining hydrocarbons using heat, e.g. steam injection
    • E21B43/2406Steam assisted gravity drainage [SAGD]

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  • Life Sciences & Earth Sciences (AREA)
  • Engineering & Computer Science (AREA)
  • Geology (AREA)
  • Mining & Mineral Resources (AREA)
  • Physics & Mathematics (AREA)
  • Environmental & Geological Engineering (AREA)
  • Fluid Mechanics (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Pipeline Systems (AREA)
  • Production Of Liquid Hydrocarbon Mixture For Refining Petroleum (AREA)

Abstract

The invention discloses an oil reservoir exploitation method. The method comprises the steps of determining the length of each section of a plurality of sections of a steam injection pipe; and determining the material and the size of each of the plurality of sections under the condition of ensuring that the heat loss of each of the plurality of sections is equal. And generating a steam injection pipe according to the determined material and size of each section of the plurality of sections, and heating the oil reservoir of the steam injection well through the steam injection pipe. The radial heat loss values of all sections of the steam injection pipe are determined to be the same, the material and the size of all sections of the steam injection pipe are determined, the oil reservoir is heated according to the material obtained and the steam injection pipe generated according to the size, the uniform heating of the oil reservoir by all sections of the steam injection pipe can be guaranteed, the steam injection effect of the steam injection pipe is improved, the steam channeling phenomenon is reduced, and the oil extraction efficiency is improved.

Description

A kind of oil reservoir recovery method
Technical field
The present invention relates to DP technology, more particularly to a kind of oil reservoir exploitation steam injection pipe and oil reservoir recovery method.
Background technology
SAGD (Steam Assisted Gravity Drainage, SAGD) is a super-viscous oil oil Hide development technique.The technology is a bite straight well or water above the horizontal production well near oil reservoir bottom by steam In horizontal well injection oil reservoir, so as to being heated to oil reservoir, the horizontal well of heated crude oil and steam condensate from oil reservoir bottom Middle output.The technology has the advantages of high oil recovery ability, high gas oil ratio, high recovery rate and low inter-well interference, and the technology can be with Effectively avoid producing too early and alter the problem of logical between well.
At present, SAGD be utilized in steam injection pipe inject steam mode oil reservoir is heated, then, since it is desired that plus The reservoir area of heat is typically bigger, so the horizontal steam injection section of steam injection pipe is generally long.Steam along steam injection pipe flow when meeting Generation heat waste, if the design parameter of steam injection pipe is unreasonable, then easily cause the heat waste difference of each section of steam injection pipe, heat waste is not With that can cause, each region heating of oil reservoir is uneven.For the region of over-heating, steam can initially pass through oil reservoir directly with production Well establishes the longitudinal layer position of thermal communication, and then channeling occurs.
In view of the above-mentioned problems, not yet propose effective solution at present.
The content of the invention
In view of the above-mentioned problems, it is an object of the invention to provide a kind of oil reservoir exploitation steam injection pipe and oil reservoir recovery method. This method can develop super-heavy oil deposit.
To achieve these goals, a kind of oil reservoir exploitation steam injection pipe provided by the invention, including:Vertical section, horizontal segment And the changeover portion of the connection vertical section and horizontal segment, wherein, the horizontal segment includes multiple steam injection sections, the multiple steam injection One or more steam injection holes are provided with each steam injection section of section, the heat waste dephasing of each steam injection section in the multiple steam injection section Deng.
Further, the oil reservoir recovery method is arranged on the above and or below of oil reservoir with steam injection pipe.
Further, the quantity of steam injection section is 3 or 4 in the horizontal segment.
Further, the length of steam injection section is 9~11m in the horizontal segment.
To achieve these goals, the present invention also provides a kind of oil reservoir recovery method;Determine each in multiple sections of steam injection pipe The length of section;In the case where each section in ensureing the multiple section of heat loss is equal, each section is determined in the multiple section Material and size, wherein, described each section of length and each section of radial direction entire thermal resistance determine in the multiple section each section Radial direction heat loss, described each section of radial direction entire thermal resistance determines by each section of material and size;According to the described more of determination Each section of material and size generate the steam injection pipe in individual section;Oil reservoir where steam injection well is added by the steam injection pipe Heat.
Further, each section in the multiple section of radial direction heat loss is calculated according to below equation:
Wherein, QmRepresent the radial direction heat loss of m sections, RmRepresent the radial direction entire thermal resistance of m sections, TeAfter representing circulation preheating Near-bottom temperature steady state value, TsRepresent the mean temperature of saturated vapor, dLmRepresent the length of m sections.
Further, each section in the multiple section of radial direction entire thermal resistance is calculated according to below equation:
Rm=Rm1+Rm2+Rm3+Rm4+Rm5+Rm6+Rm7+Rm8
Rm1Represent the thermal convection current thermal resistance value between steam and steam injection inside pipe wall, Rm2Represent steam injection pipe inwall and outer wall it Between thermally conductive heat resistance, Rm3Represent the thermally conductive heat resistance of thermal insulation layer, Rm4The thermally conductive heat resistance of heat-insulated tube wall is represented, Rm5Represent annular space thermal convection current thermal resistance value, Rm6Represent the thermally conductive heat resistance of casing wall, Rm7Represent the heat transfer thermal resistance of cement sheath Value, Rm8Represent the thermally conductive heat resistance of oil reservoir.
Further, the mean temperature of saturated vapor is calculated according to below equation:
Ts=195.94P0.225-17.8
Wherein, TsThe mean temperature of saturated vapor is represented, P is vapour pressure, unit Pa.
Further, vapour pressure is calculated according to below equation:
Wherein, P is vapour pressure, unit Pa;L represents the distance axially flowed, unit m;ρlFor density of liquid phase, unit For kg/m3;ρgFor density of gas phase, unit kg/m3;HlFor liquid holdup, unit m3/m3;G is acceleration of gravity, unit m/ s2;θ is pipeline and the angle of horizontal direction;λ is the frictional resistant coefficient of two-phase flow;G be mixture mass flow, unit For kg/s;V be mixture flow velocity, unit m/s;vsgFor the specific speed of gas phase, unit m/s;D is pipe diameter, single Position is m;ApAccumulated for pipeline section, unit m2
A kind of oil reservoir exploitation steam injection pipe and the oil reservoir recovery method of the present invention, by adjusting each section of steam injection section of the steam injection pipe Material and length so that each section of steam injection section on the steam injection pipe horizontal segment heat waste value it is identical, then pass through the tubing string pair again Oil reservoir is heated, and then can guarantee that uniform heating of each section of steam injection pipe to oil reservoir;The steam injection efficiency of steam injection pipe is improved, is reduced Channeling phenomenon, improves oil recovery efficiency.
Brief description of the drawings
Fig. 1 is structural plan of the oil reservoir exploitation steam injection pipe in well in the present embodiment;
Fig. 2 is the radial direction thermal resistance schematic diagram of the oil reservoir exploitation steam injection pipe in the present embodiment;
Fig. 3 is the flow chart for the oil reservoir recovery method that the present embodiment provides.
The figures above explanation:1st, producing well;2nd, steam injection well;3rd, steam injection pipe;31st, vertical section;32nd, horizontal segment;321st, steam injection Section;4th, steam injection hole;5th, sleeve pipe;6th, oil reservoir.
Embodiment
In the prior art, the conventional hole pattern for SAGD horizontal wells mainly divides straight flat combination to be combined with dual horizontal well, I.e. in oil reservoir top layout straight well steam injection well, bottom arranges horizontal well or arranges horizontal well in top and bottom.For in reality In the operation process of the SAGD horizontal wells on border, typically in chronological order in two stages:First stage is loop preheat phase, i.e., Crude oil at the top of oil reservoir is heated.Steam injection pipe small displacement injection steam in steam injection well, uniformly heats oil reservoir, makes oil reservoir top Crude oil there is certain fluidity.Second stage is the steam injection gravity drainage stage, i.e., to the oil extraction of oil reservoir bottom, due to system Steam injection well establishes thermal communication with producing well after the one longitudinal region circulation preheated one-section time, is affected by gravity the original with mobility Oil can enter in the producing well of oil reservoir bottom from the steam injection well stream at the top of oil reservoir.
In order to prevent oil reservoir from channeling occurs, a kind of oil reservoir exploitation steam injection pipe is proposed in this example, should as shown in Fig. 1 Steam injection pipe includes vertical section, horizontal segment and the changeover portion of connection vertical section and horizontal segment, wherein, the horizontal segment includes multiple Steam injection section, is provided with one or more steam injection holes in each steam injection section of the multiple steam injection section, each in the multiple steam injection section The heat loss of individual steam injection section is equal.Vertical section extends downwardly since well head to be connected with changeover portion.
The horizontal segment 32 of steam injection pipe 3 in Fig. 1 can include multistage steam injection section 321, and multistage steam injection section 321 is arranged successively Row.It can be provided with the horizontal direction in steam injection section 321 and multiple match somebody with somebody steam vent.Steam injection pipe 3 injects steam into oil by steam injection hole 4 Carry out heating in crude oil in Tibetan.Heated crude oil under gravity, is downwardly into producing well 1.In view of the oil for needing to heat It is larger to hide area, so the horizontal segment 32 of steam injection pipe 3 typically sets long, when being flowed along steam injection pipe 3 heat can occur for steam Damage, if the radial direction thermal resistance value parameter of steam injection pipe 3 is unreasonable, the uneven of each section of heating of horizontal well is easily caused, and then cause Each region heating of oil reservoir is uneven, and the steam in over-heating region first passes through oil reservoir and directly establishes thermal communication with producing well 1 Longitudinal layer position, and then channeling occurs, by setting the heat loss of each steam injection section 321 in multiple steam injection sections 321 in this example It is equal, it effectively prevent the generation of above mentioned problem.
Specifically, it can be SAGD dual horizontal well technologies that oil reservoir recovery method, which is,.SAGD dual horizontal wells include the He of producing well 1 Steam injection well 2.Producing well 1 is the main well section of oil producing operation, and steam injection well 2 includes straight well section and son field, the exploitation of above-mentioned oil reservoir The steam injection pipe 3 of method is arranged in the straight well section and son field of steam injection well 2.Wherein, can be set on straight well section and son field Sleeve pipe 5 is equipped with, the upper end of sleeve pipe 5 set in straight well section is connected with the well head of oil well, and the diameter of the sleeve pipe 5 of straight well section, which is more than, to be divided The diameter of the sleeve pipe 5 of branch section, the tubing string that this is primarily due to the setting of straight well section are more than son field.Specifically, sleeve pipe 5 and the borehole wall it Between can by fill mixed mud by sleeve pipe 5 fix be set in oil well.
Above-mentioned oil reservoir exploitation steam injection pipe 3 can be arranged in the sleeve pipe 5 of steam injection well 2, specifically, the steam injection pipe 3 can With the vertical section 31 including being arranged on straight well section, it is arranged on the horizontal segment 32 of son field and connects vertical section 31 and horizontal segment 32 Changeover portion.The length of horizontal segment 32 can determine according to the specific size of oil reservoir.Preferably, the horizontal segment 32 of steam injection pipe 3 Can be corresponding with the horizontal length of oil reservoir.Changeover portion can be arranged directly on the lower end of vertical section 31, the other end of changeover portion It is connected with horizontal segment 32.
Wherein, horizontal segment 32 includes multiple steam injection sections 321, can be set in each steam injection section 321 of multiple steam injection sections 321 Be equipped with one or more steam injection holes 4, and in multiple steam injection sections 321 each steam injection section 321 heat loss it is equal.Specifically, steam injection The influence factor of the heat loss of each steam injection section 321 is the radial direction thermal resistance value R of the tubing string of steam injection section 321 in section 321m, radial direction thermal resistance Value RmBigger, the heat loss Q of steam injection section 321 is bigger.Heat loss Q is bigger, indicates that the steam of this section to the heat of external diffusion It is more and then bigger to the heating intensity of oil reservoir.
Specifically, radial direction thermal resistance value RmIt can be expressed as:
Rm=Rm1+Rm2+Rm3+Rm4+Rm5+Rm6+Rm7+Rm8
Wherein, m represents the label of steam injection section 321.Rm1The thermal convection current thermal resistance value between steam and steam injection inside pipe wall is represented, Rm2Represent the thermally conductive heat resistance between the inwall and outer wall of steam injection pipe, Rm3Represent the thermally conductive heat resistance of thermal insulation layer, Rm4Represent The thermally conductive heat resistance of heat-insulated tube wall, Rm5Represent annular space thermal convection current thermal resistance value, Rm6The thermally conductive heat resistance of casing wall is represented, Rm7Represent the thermally conductive heat resistance of cement sheath, Rm8Represent the thermally conductive heat resistance of oil reservoir.Wherein, Rm1、Rm2、Rm3、Rm4For steam injection The thermal resistance of the steam injection section 321 of pipe 3.It is illustrated in figure 2 the schematic diagram of above-mentioned each resistance.
By the radial direction entire thermal resistance R for each steam injection section 321 for adjusting steam injection pipe 3m, every section of steam injection section 321 can be caused Radial direction steam heat loss is identical, so as to ensure that the heating amount of 321 pairs of oil reservoirs of every section of steam injection section is identical.
In the present embodiment, oil reservoir recovery method steam injection pipe 3 is arranged on the above and or below of oil reservoir, according to steam injection Measure with the structure of actual oil reservoir to determine the set location of steam injection pipe 3 and quantity.
In the present embodiment, the quantity of steam injection section 321 can be 3 or 4 in horizontal segment 32, and each steam injection section 321 can It is connected with the direction being connected through a screw thread.Each section of length of steam injection pipe 3 typically can be 9~11m.
In one preferred embodiment, the length of steam injection section is 800mm to 1000mm, steam injection section it is a diameter of 73mm.The length to steam injection section and size do not make specific limitation to present embodiment, and the length and size of steam injection section can bases Actual requirement determines.
Preferably, the aperture of steam injection section is 4mm.
In another preferred embodiment, steam injection section includes steam injection inner tube and steam injection outer tube, and steam injection outer tube is set in In steam injection inner tube.
Preferably, it is provided with vacuum heat-insulating layer between steam injection inner tube and steam injection outer tube.
In one preferred embodiment, steam injection inner tube and steam injection outer tube can be cast iron pipe or stainless steel tube.
In the present embodiment, the quantity of steam injection section 321 can be 3 or 4 in horizontal segment 32, and each steam injection section 321 can It is connected with the direction being connected through a screw thread.Each section of length of steam injection pipe 3 typically can be 9~11m.
Based on the oil reservoir exploitation steam injection pipe 3 shown in Fig. 1, a kind of oil reservoir recovery method, such as Fig. 3 are additionally provided in this example It is shown, it may comprise steps of:
Step S301:Determine the length of each steam injection section 321 in multiple steam injection sections 321 in the horizontal segment 32 of steam injection pipe 3;
Step S302:In the case where each section in ensureing the multiple section of heat loss is equal, the multiple section is determined In each section of material and size, wherein, described each section of length and each section of radial direction entire thermal resistance determine the multiple section In each section of radial direction heat loss, described each section of radial direction entire thermal resistance determines by each section of material and size;
Step S303:The steam injection pipe is generated according to each section in the multiple section of determination of material and size;
Step S304:The place oil reservoir of steam injection well 2 is heated by the steam injection pipe 3.
That is, as principle each section of material and size are determined so that each section of heat loss is equal, so as to generating steam injection pipe, base Oil reservoir heating is carried out in this steam injection pipe, it is possible to effectively prevents from that channeling occurs in oil reservoir.
Assuming that the horizontal segment 32 of above-mentioned steam injection pipe 3 has m steam injection section 321, radial direction steam heat loss QmWhat is represented is to steam To the heat of external diffusion when vapour moves in steam injection pipe 3.If the radial direction steam heat loss Q of every section of steam injection pipemIt is identical, then mean It is identical to the heat of external diffusion every section of steam injection pipe, and then represents that every section of steam injection pipe is identical to the heating amount of oil reservoir.
The pit shaft unit radial steam heat loss Q of heating periodmIt can be expressed as:
Wherein, RmThe entire thermal resistance of pit shaft unit radial is represented, unit is (mk)/w;dLmRepresent the unit axial direction of steam injection pipe 3 On length, unit m;TsThe temperature of saturated vapor in pit shaft is represented, unit is DEG C.
In above-mentioned calculating steam heat loss QmFormula in, TeFormation temperature after expression circulation preheating, is a steady state value. Saturated vapor mean temperature TsIt can be tried to achieve according to below equation:
Ts=195.94P0.225-17.8
Wherein, pressure P can try to achieve according to following Beggs-Bill algorithms:
Wherein, P is vapour pressure, unit Pa;L represents the distance axially flowed, unit m;ρlFor density of liquid phase, unit For kg/m3;ρgFor density of gas phase, unit kg/m3;HlFor liquid holdup, unit m3/m3;G is acceleration of gravity, unit m/ s2;θ is pipeline and the angle of horizontal direction;λ is the frictional resistant coefficient of two-phase flow;G be mixture mass flow, unit For kg/s;V be mixture flow velocity, unit m/s;vsgFor the specific speed of gas phase, unit m/s;D is pipe diameter, single Position is m;ApAccumulated for pipeline section, unit m2
Therefore, above-mentioned pressure P is also a steady state value.
Above-mentioned RmIt can be tried to achieve by below equation:
Rm=Rm1+Rm2+Rm3+Rm4+Rm5+Rm6+Rm7+Rm8
Wherein, Rm1Represent the thermal convection current thermal resistance value between steam and steam injection inside pipe wall, Rm2Represent the inwall of steam injection pipe with it is outer Thermally conductive heat resistance between wall, Rm3Represent the thermally conductive heat resistance of thermal insulation layer, Rm4Represent the heat transfer thermal resistance of heat-insulated tube wall Value, Rm5Represent annular space thermal convection current thermal resistance value, Rm6Represent the thermally conductive heat resistance of casing wall, Rm7Represent the thermally conductive heat of cement sheath Resistance, Rm8The thermally conductive heat resistance of oil reservoir is represented, unit is (mk)/w.
Therefore, several formula can be in the hope of any dL in pit shaft more thanmHeat loss in length.
In order that obtain each section of QmIt is equal, because of TeAnd TsIt is constant, then just it is required that dLm/RmFor each section all It is equal.
,, can as shown in Fig. 3 it is determined that before the radial direction entire thermal resistance parameter of steam injection pipe 3 in a specific embodiment First to take the length dL on two sections of unit axles of steam injection pipe 31、dL2。dL1、dL2Can be adjacent two segment distance or non-phase Adjacent two sections.In order to determine a more accurate RmParameter, dL1、dL2Value can as far as possible take a bit of steam injection pipe 3.In order to Make two sections of mean allocation heats, only need its another corresponding Qm1=Qm2, because of TeAnd TsIt is constant, therefore it may only be necessary to adjust Corresponding dL1And dL2The radial direction entire thermal resistance R of section, for same level section 32, R4To R8For the value outside steam injection pipe 3, its is homogeneous Together, the material and size of steam injection pipe 3 need to only be adjusted, you can adjustment R1To R4, and then cause Qm1=Qm2
Qm1=Qm2Mean that the radial direction steam heat loss of two axially selected distances of steam injection pipe 3 is identical, pass through guarantor The radial direction steam heat loss of two selected segment distances of card is identical can to ensure steam injection pipe 3 when being heated to oil reservoir, to every section of oil reservoir The heating amount of distance is identical.
As can be seen from the above description, the embodiment of the present invention realizes following technique effect:Provide a kind of oil reservoir Exploitation steam injection pipe 3 and a kind of oil reservoir recovery method, by adjusting the material and length of 3 each sections of steam injection sections 321 of the steam injection pipe, So that the heat waste value of each section of steam injection section 321 on the horizontal segment 32 of the steam injection pipe 3 is identical, and then it can guarantee that each section of steam injection pipe 3 is right The uniform heating of oil reservoir;The steam injection efficiency of steam injection pipe 3 is improved, reduces channeling phenomenon, improves oil recovery efficiency.
It should be understood that above description is to illustrate rather than to be limited.By reading above-mentioned retouch State, many embodiments and many applications outside the example provided all will be aobvious and easy for a person skilled in the art See.Therefore, the scope of this teaching should not determine with reference to foregoing description, but should with reference to appended claims and this The four corner of the equivalent that a little claims are possessed determines.It is for comprehensive purpose, all articles and special with reference to including The disclosure of profit application and bulletin is all by reference to being incorporated herein.Theme disclosed herein is omitted in preceding claims Any aspect is not intended to abandon the body matter, also should not be considered as inventor the theme is not thought of as it is disclosed A part for subject matter.

Claims (5)

  1. A kind of 1. oil reservoir recovery method, it is characterised in that
    Determine the length of each steam injection section in multiple steam injection sections in steam injection pipe horizontal segment;
    In the case where each section in ensureing the multiple section of heat loss is equal, each section in the multiple section of material is determined And size, wherein, described each section of length and each section of radial direction entire thermal resistance determine each section in the multiple section of radial direction Heat loss, described each section of radial direction entire thermal resistance are determined by each section of material and size;
    The steam injection pipe is generated according to each section in the multiple section of determination of material and size;
    Oil reservoir where steam injection well is heated by the steam injection pipe.
  2. 2. according to the method for claim 1, it is characterised in that calculate in the multiple section each section according to below equation Radial direction heat loss:
    <mrow> <msub> <mi>Q</mi> <mi>m</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>T</mi> <mi>s</mi> </msub> <mo>-</mo> <msub> <mi>T</mi> <mi>e</mi> </msub> </mrow> <msub> <mi>R</mi> <mi>m</mi> </msub> </mfrac> <msub> <mi>dL</mi> <mi>m</mi> </msub> </mrow>
    Wherein, QmRepresent the radial direction heat loss of m sections, RmRepresent the radial direction entire thermal resistance of m sections, TeRepresent the bottom after circulation preheating Layer temperature constant value, TsRepresent the mean temperature of saturated vapor, dLmRepresent the length of m sections.
  3. 3. according to the method for claim 2, it is characterised in that calculate in the multiple section each section according to below equation Radial direction entire thermal resistance:
    Rm=Rm1+Rm2+Rm3+Rm4+Rm5+Rm6+Rm7+Rm8
    Rm1Represent the thermal convection current thermal resistance value between steam and steam injection inside pipe wall, Rm2Represent the heat between the inwall and outer wall of steam injection pipe Thermal-conduction resistance value, Rm3Represent the thermally conductive heat resistance of thermal insulation layer, Rm4Represent the thermally conductive heat resistance of heat-insulated tube wall, Rm5Represent Annular space thermal convection current thermal resistance value, Rm6Represent the thermally conductive heat resistance of casing wall, Rm7Represent the thermally conductive heat resistance of cement sheath, Rm8Table Show the thermally conductive heat resistance of oil reservoir.
  4. 4. according to the method for claim 1, it is characterised in that the mean temperature of saturated vapor is calculated according to below equation:
    Ts=195.94P0.225-17.8
    Wherein, TsThe mean temperature of saturated vapor is represented, P is vapour pressure, unit Pa.
  5. 5. method according to claim 4, it is characterised in that calculate vapour pressure according to below equation:
    <mrow> <mfrac> <mrow> <mi>d</mi> <mi>P</mi> </mrow> <mrow> <mi>d</mi> <mi>l</mi> </mrow> </mfrac> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;rho;</mi> <mi>l</mi> </msub> <msub> <mi>H</mi> <mi>l</mi> </msub> <mo>+</mo> <msub> <mi>&amp;rho;</mi> <mi>g</mi> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>H</mi> <mi>l</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mi>g</mi> <mi> </mi> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mi>&amp;theta;</mi> <mo>+</mo> <mfrac> <mrow> <mi>&amp;lambda;</mi> <mi>G</mi> <mi>v</mi> </mrow> <mrow> <mn>2</mn> <msub> <mi>DA</mi> <mi>p</mi> </msub> </mrow> </mfrac> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <mfrac> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;rho;</mi> <mi>l</mi> </msub> <msub> <mi>H</mi> <mi>l</mi> </msub> <mo>+</mo> <msub> <mi>&amp;rho;</mi> <mi>g</mi> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msub> <mi>H</mi> <mi>l</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <msub> <mi>vv</mi> <mrow> <mi>s</mi> <mi>g</mi> </mrow> </msub> </mrow> <mi>P</mi> </mfrac> </mrow> </mfrac> </mrow>
    Wherein, P is vapour pressure, unit Pa;L represents the distance axially flowed, unit m;ρlFor density of liquid phase, unit kg/ m3;ρgFor density of gas phase, unit kg/m3;HlFor liquid holdup, unit m3/m3;G is acceleration of gravity, unit m/s2;θ is The angle of pipeline and horizontal direction;λ is the frictional resistant coefficient of two-phase flow;G be mixture mass flow, unit kg/ s;V be mixture flow velocity, unit m/s;vsgFor the specific speed of gas phase, unit m/s;D is pipe diameter, unit m; ApAccumulated for pipeline section, unit m2
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