CN105699689A - Device and method for measuring fluid velocity slippage coefficient of seepage-free flow interface - Google Patents

Abstract

The invention relates to a device and method for measuring a fluid velocity slippage coefficient of a seepage-free flow interface. The device comprises a model housing, an artificial sandstone, a buffering partitioning plate, a water supply tank, a vacuum pump, a liquid trap, a camera, and a laser transmitter, wherein the artificial sandstone is disposed at the center of the interior of the model housing, the interior of the artificial sandstone is provided with a seepage channel, and a free flow channel is formed between the top of the artificial sandstone and a cavity of the model housing. The buffering partitioning plate achieves the buffering injection of fluid, and enables the injected fluid to move forwards uniformly. A laser Doppler speed measurer consists of the laser transmitter and a coordinate frame, and obtains the flow information of fluid in the free flow channel through laser detection. The device is simple in structure, is convenient to arrange, can precisely construct a speed slippage condition at a seepage-free flow coupling interface according to an experiment result, provides the technical basis and support for the coupling of the flowing of fluid in a pure fluid region and a porous dielectric region, and provides fundamental basis for the further flowing numerical simulation.

Description

Measure the device and method of seepage flow-free stream interface fluid velocity slip coefficient

Technical field

The invention belongs to petroleum works field, in particular it relates to one measures the device and method of seepage flow-free stream interface fluid velocity slip coefficient based on Laser Doppler Velocimeter (LDA)。

Background technology

Fractured-cavernous carbonate reservoir reservoir space type is various, large-scale solution cavity, crack and basement rock hole are also deposited, and dimensional variation scope is big, in oil reservoir, fluid flowing law is complicated, in the crack that large-scale solution cavity and yardstick are bigger, fluids free flow moves, and in the crack that basement rock and yardstick are less, fluid flows in seepage flow mode, and therefore such oil reservoir has seepage flow, freely flows the feature of coupling。The research of seepage flow-freely flow Coupled Flow finds, freely flows region speed tangential component on interface and be significantly greater than the tangential component in porous media district, it is thus regarded that the macroscopical interface place speed at the two is discontinuous。

[the BeaversGS that experiment the earliest is Gordon (Gordon.S.Beavers) and Denier (DanielD.Joseph) does on the basis of single-phase flow, JosephDD.Boundaryconditionsatanaturallypermeablewall [J] .JFluidMech1967, 30 (1): 197-207], they prove by experiment, compared with non-slip condition, freely flow region flow velocity after considering velocity-slip and flow all increases to some extent, and propose velocity-slip theory on this basis, give the semiempirical expression formula of velocity-slip, this expression formula exists a nondimensional velocity-slip factor alpha, determine that velocity-slip condition on interface, further seepage coupling and the key parameter freely flowed, think that its value is only relevant with interfacial structure, unrelated with fluid properties。But it is constrained to experiment condition at that time, it is impossible to measure the exact value of interface upper fluid speed。1997, Advani [GupteS, AdvaniS.Flownearthepermeableboundaryofaporousmedium:Anex perimentalinvestigationusingLDA [J] .Experimentsinfluids1997,22 (5): 408-422；GupteSK, AdvaniSG.Flownearthepermeableboundaryofanalignedfiberpre form:Anexperimentalinvestigationusinglaserdoppleranemome try [J] .Polymercomposites1997,18 (1): 114-124] utilize laser Doppler vibration (LDA) to record sliding velocity on interface first, but slip coefficient is not carried out research further and calculates by them。Beavers [BeaversGS, SparrowEM, MagnusonRA.Experimentsoncoupledparallelflowsinachannelan daboundingporousmedium [J] .JournalofBasicEngineering1970, 92:843], Richardson [RichardsonS.Amodelfortheboundaryconditionofaporousmateri al.Part2 [J] .JFluidMech1971, 49 (2): 327-336], Goyeau [GoyeauB, LhuillierD, GobinD, VelardeM.Momentumtransportatafluid porousinterface [J] .InternationalJournalofHeatandMassTransfer2003, 46 (21): 4071-4081] et al. the value how determining α has been done correlational study, attempt to set up Explicit Expression formula, but come to nothing so far, therefore at present the value of α relies primarily on experiment and determines。

From experimental viewpoint, the present invention determines that this slip coefficient, reliability and accuracy are higher, and the domestic report there are no similar experiments of measuring at present。

Summary of the invention

For the defect overcoming prior art to exist, the present invention provides a kind of device and method measuring seepage flow-freely flow coupled interface fluid velocity slip coefficient based on Laser Doppler Velocimeter (LDA), measure seepage flow-freely flow by Laser Doppler Velocimeter and single-phase Coupled Flow system freely flows region flow velocity distribution, the velocity-slip formula calculating slip coefficient then proposed according to Gordon (Gordon.S.Beavers) and Denier (DanielD.Joseph)。

For achieving the above object, the present invention adopts following proposal:

Measure the device of seepage flow-free stream interface fluid velocity slip coefficient, including: model shell, artificial sand rock, buffering dividing plate, supply tank, vacuum pump, liquid trap, video camera, generating laser, wherein: artificial sand rock is placed in the centre position in model shell；It is model housing entry end that model shell injects fluid end, and discharging fluid end is model housing outlet end；It is artificial sand rock arrival end that fluid flows into end, and fluid outflow end is the artificial sand rock port of export；Artificial sand rock is internal is seepage channel, and the cavity between artificial sand rock top and model shell forms free flow road；Described the first pressure-measuring pipe, the second pressure-measuring pipe are respectively placed in arrival end and the port of export of artificial sand rock, for measuring the barometric gradient of fluid between two ends；Described buffering dividing plate is placed in the middle of model housing entry end and artificial sand rock arrival end；Described supply tank, vacuum pump, respectively through injecting liquid pipeline and control pump line line is connected with model housing entry end, inject and are respectively mounted injection hydraulic control valve door on liquid pipeline and control pump line line, control pump valve；Described liquid trap is connected with model housing outlet end by Produced Liquid pipeline, Produced Liquid pipeline is installed Produced Liquid and controls valve；Described Laser Doppler Velocimeter is made up of generating laser and frame of axes；Frame of axes is fixing in the horizontal plane, and frame of axes is installed generating laser；Described video camera is fixed on frame of axes。

Relative to prior art, there is advantages that experimental provision simple in construction, lay conveniently, can accurately build seepage flow-freely according to experimental result and flow the velocity-slip condition on coupling interface, thus improving seepage flow-freely flow mathematical model coupling, coupled problem for studying pure fluid zone and the flowing of porous media district fluid provides technical basis and support, provide fundamental basis for carrying out flow numerical simulation further, assist in researcher understanding and probe into the flow mechanism of fluid in fractured-cavernous carbonate reservoir。

Accompanying drawing explanation

Fig. 1 is the experimental provision schematic diagram measuring seepage flow-freely flow coupled interface fluid velocity slip coefficient；

In figure: 1, model shell；2, artificial sand rock；3, the first pressure-measuring pipe；4, the second pressure-measuring pipe；5, buffering dividing plate；6, supply tank；61, hydraulic control valve door is injected；7, Pressure gauge；71, pressure gage valve；8, vacuum pump；81, control pump valve；9, liquid trap；91, Produced Liquid controls valve；10, video camera；11, generating laser；12, frame of axes。

Detailed description of the invention

As it is shown in figure 1, measure the device of seepage flow-free stream interface fluid velocity slip coefficient, including: model shell 1, artificial sand rock 2, buffering dividing plate 5, supply tank 6, vacuum pump 8, liquid trap 9, video camera 10, generating laser 11, wherein:

Described model shell 1 is formed by fluid sealant is bonding by six pieces of poly (methyl methacrylate) plates, and described artificial sand rock 2 is made by uniform gravel coupling collar epoxy resins compacting is cementing, and artificial sand rock 2 is placed in the centre position in model shell 1；The length of artificial sand rock 2 is the 1/3 of model, width is identical with model, highly for the 1/2 of model, artificial sand rock 2 is used for simulating porous media；Model shell 1 provides the flowing space for fluid, and wherein injecting fluid end is model shell 1 arrival end, and discharging fluid end is model shell 1 port of export；It is artificial sand rock 2 arrival end that fluid flows into end, and fluid outflow end is artificial sand rock 2 port of export；Artificial sand rock 2 is internal is seepage channel, and the cavity between artificial sand rock 2 top and model shell forms free flow road。

First described pressure-measuring pipe the 3, second pressure-measuring pipe 4 is respectively placed in arrival end and the port of export of artificial sand rock 2, for measuring the barometric gradient of fluid between two ends。

Described buffering dividing plate 5 is placed in the middle of model shell 1 arrival end and artificial sand rock 2 arrival end, plays buffering and injects fluid matasomatism so that injects fluid and uniformly pushes ahead。

Described supply tank 6, vacuum pump 8, respectively through injecting liquid pipeline and control pump line line is connected with model shell 1 arrival end, inject and are respectively mounted injection hydraulic control valve door 61 on liquid pipeline and control pump line line, control pump valve 81。

Described liquid trap 9 is connected with model shell 1 port of export by Produced Liquid pipeline, is used for collecting experimental waste liquid, and installs Produced Liquid control valve 91 on Produced Liquid pipeline。

Described Laser Doppler Velocimeter is made up of generating laser 11 and frame of axes 12；Frame of axes 12 is fixing in the horizontal plane, frame of axes is installed generating laser 11 as measuring probe, generating laser can be controlled horizontally or vertically to move on frame of axes by computer, free flow road place fluid flow information is obtained by laser acquisition, data after acquisition process return terminal and are analyzed and obtain rate of flow of fluid, and the movement finally by generating laser obtains the rate of flow of fluid of free flow road various location and draws real-time flow rate scattergram。

Described video camera 10 is fixed on frame of axes 12, is used for recording process fluid flow。

Measuring the experimental technique of seepage flow-freely flow coupled interface fluid velocity slip coefficient, adopt the experimental provision of above-mentioned measurement seepage flow-freely flow coupled interface fluid velocity slip coefficient, step is as follows:

Step 1: experimental field is arranged

Utilize epoxide-resin glue that transparent organic glass is packaged into cuboid hollow mould shell；Gravel epoxide-resin glue is consolidated into cuboid artificial sand rock, measures artificial sand rock length L and permeability k, be then locked in see-through model shell；Measure the spacing of artificial sand rock upper surface and model cover top portion, namely freely flow region height h；

Step 2: formulated fluids

Experimental Flowing Object is distilled water, adds appropriate trace particle, the viscosity, mu of experiments of measuring fluid, then added in supply tank 6 by the fluid prepared in distilled water；

Step 3: model evacuation saturation experiments fluid

Close and inject hydraulic control valve door 61, output hydraulic control valve door 91, open pressure gage valve 71, control pump valve 81 and vacuum pump 8, by experimental model evacuation；When Pressure gauge 7 numerical value drops to 1 × 10^-2During Pa, closing presure meter valve 71, control pump valve 81, vacuum pump 8, open injection hydraulic control valve door 61；After fully saturated distilled water in model shell 1 and artificial sand rock 2, close and inject hydraulic control valve door 61；

Step 4: measure interface flow velocity

Open Laser Doppler Velocimeter, relevant parameter is set and adjusts generating laser, make laser beam intersection point be located exactly in the middle of artificial sand rock 2 upper surface；Open injection hydraulic control valve door 61, output hydraulic control valve door 91, after and laser measurement signal stable until fluid flowing is normal, along being parallel to the rate of flow of fluid of interface orientation measurement various location and averaging, thus the sliding velocity u obtained on interface_B；Read the pressure value P of pressure-measuring pipe 3₁, manometer tube 4 pressure value P₂, thus trying to achieve barometric gradient Δ P=(P₁-P₂)/L, wherein L is artificial sand rock 2 length；

Step 5: calculate velocity-slip coefficient

According to the porous media permeability recorded, fluid viscosity, free flow road height and piezometric pressure value, Beavers-Joseph velocity-slip formula is utilized to calculate slip coefficient α:

$\begin{array}{ccc}\mathrm{\σ}=h/\sqrt{k},& m=\frac{2\mathrm{\μ}\·u_B}{-k\·\mathrm{\Δ}P},& \mathrm{\α}=\frac{{\mathrm{\σ}}^2-m}{\mathrm{\σ}\·(m-2)}\end{array}$

In formula, α is slip coefficient, and k is porous media permeability, and h is for freely to flow region height, and μ is fluid viscosity, u_BFor the sliding velocity on interface。

Claims (4)

1. the device measuring seepage flow-free stream interface fluid velocity slip coefficient, including: model shell, artificial sand rock, buffering dividing plate, supply tank, vacuum pump, liquid trap, video camera, generating laser, it is characterized in that: artificial sand rock is placed in the centre position in model shell, model shell provides the flowing space for fluid, wherein injecting fluid end is model housing entry end, and discharging fluid end is model housing outlet end；It is artificial sand rock arrival end that fluid flows into end, and fluid outflow end is the artificial sand rock port of export；Described the first pressure-measuring pipe, the second pressure-measuring pipe are respectively placed in arrival end and the port of export of artificial sand rock；Described buffering dividing plate is placed in the middle of model housing entry end and artificial sand rock arrival end, described supply tank, vacuum pump, respectively through injecting liquid pipeline and control pump line line is connected with model housing entry end, inject and are respectively mounted injection hydraulic control valve door on liquid pipeline and control pump line line, control pump valve；Described liquid trap is connected with model housing outlet end by Produced Liquid pipeline, Produced Liquid pipeline is installed Produced Liquid and controls valve；Described Laser Doppler Velocimeter is made up of generating laser and frame of axes；Frame of axes is fixing in the horizontal plane, and frame of axes is installed generating laser；Described video camera is fixed on frame of axes。

2. the device of measurement seepage flow according to claim 1-free stream interface fluid velocity slip coefficient, it is characterized in that: described model shell is formed by fluid sealant is bonding by six pieces of poly (methyl methacrylate) plates, described artificial sand rock is made by uniform gravel coupling collar epoxy resins compacting is cementing, and artificial sand rock is used for simulating porous media；Artificial sand rock is internal is seepage channel, and the cavity between artificial sand rock 2 top and model shell forms free flow road。

3. the device measuring seepage flow-free stream interface fluid velocity slip coefficient according to claim 1-2, it is characterised in that: the length of artificial sand rock is the 1/3 of model, width is identical with model, be highly the 1/2 of model。

4. measure an experimental technique for seepage flow-freely flow coupled interface fluid velocity slip coefficient, adopt the experimental provision measuring seepage flow-freely flow coupled interface fluid velocity slip coefficient that one of claim 1-3 is described, it is characterised in that step is as follows:

Step 1: experimental field is arranged

Utilize epoxide-resin glue that transparent organic glass is packaged into cuboid hollow mould shell；Gravel epoxide-resin glue is consolidated into cuboid artificial sand rock, measures artificial sand rock length L and permeability k, be then locked in see-through model shell；Measure the spacing of artificial sand rock upper surface and model cover top portion, namely freely flow region height h；

Step 2: formulated fluids

Experimental Flowing Object is distilled water, adds appropriate trace particle, the viscosity, mu of experiments of measuring fluid, then added in supply tank by the fluid prepared in distilled water；

Step 3: model evacuation saturation experiments fluid

Close and inject hydraulic control valve door, output hydraulic control valve door, open pressure gage valve, control pump valve and vacuum pump, by experimental model evacuation；When Pressure gauge numerical value drops to 1 × 10^-2During Pa, closing presure meter valve, control pump valve, vacuum pump, open injection hydraulic control valve door；After distilled water fully saturated in model shell and artificial sand rock, close and inject hydraulic control valve door；

Step 4: measure interface flow velocity

Open Laser Doppler Velocimeter, relevant parameter is set and adjusts generating laser, make laser beam intersection point be located exactly in the middle of artificial sand rock upper surface；Open injection hydraulic control valve door, output hydraulic control valve door, after and laser measurement signal stable until fluid flowing is normal, along being parallel to the rate of flow of fluid of interface orientation measurement various location and averaging, thus the sliding velocity u obtained on interface_B；Read the pressure value P of pressure-measuring pipe₁, manometer tube 4 pressure value P₂, thus trying to achieve barometric gradient Δ P=(P₁-P₂)/L, wherein L is artificial sand rock length；

Step 5: calculate velocity-slip coefficient

According to the porous media permeability recorded, fluid viscosity, free flow road height and piezometric pressure value, calculate slip coefficient α:

$\mathrm{\σ}=h/\sqrt{k},$ $m=\frac{2\mathrm{\μ}\·u_B}{-k\·\mathrm{\Δ}P},$ $\mathrm{\α}=\frac{{\mathrm{\σ}}^2-m}{\mathrm{\σ}\·(m-2)}$

In formula, α is slip coefficient, and k is porous media permeability, and h is for freely to flow region height, and μ is fluid viscosity, u_BFor the sliding velocity on interface。