CN115422684A - Drilling non-submerged jet fluidization mining process parameter design method - Google Patents

Drilling non-submerged jet fluidization mining process parameter design method Download PDF

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CN115422684A
CN115422684A CN202211173194.6A CN202211173194A CN115422684A CN 115422684 A CN115422684 A CN 115422684A CN 202211173194 A CN202211173194 A CN 202211173194A CN 115422684 A CN115422684 A CN 115422684A
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问小江
刘应科
王凤超
康建宏
钮月
蒋名军
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China University of Mining and Technology CUMT
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Abstract

The invention discloses a method for designing technological parameters of drilling non-submerged jet fluidization mining, which comprises the steps of jet pump structure size design, fluidization mining technological parameter design, process matching degree verification and the like. The invention considers the influence of particles in the pulp promoted by the jet pump on the efficiency of the jet pump, perfects the basic equation of the performance of the liquid-solid jet pump, designs the structure size of the jet pump based on the improved basic equation of the performance of the liquid-solid jet pump, determines the corresponding structure size of the jet pump when the working efficiency of the jet pump is close to the peak efficiency, matches and designs the technological parameters of fluidized mining on the basis, and compares the actual flow ratio of the jet pump with the cavitation flow ratio to obtain the optimal matching parameters, so that the design result can meet the requirement that the high-pressure water jet in the fluidized mining process completes ore body crushing operation in a non-submerged state, further improves the efficiency of the fluidized mining, and can provide theoretical guidance and data support for the popularization and application of the non-submerged jet fluidized mining method.

Description

Drilling non-submerged jet fluidization mining process parameter design method
Technical Field
The invention relates to a parameter optimization method, in particular to a drilling non-submerged jet fluidization mining process parameter design method, and belongs to the technical field of fluidization mining.
Background
The fluidized mining refers to a mining method that the ore is cut and crushed by drilling and high-pressure water jet is used for forming ore pulp on a working face, and the ore pulp is lifted to the ground surface through drilling and sent to a concentrating mill for processing. Fluidized mining can be used for mining nonferrous metals and rare metal placers which are buried shallowly and have small thickness, and mineral deposits which are loose, porous and weak in cementation, such as peat, coal, apatite, loose manganese ores, soft bauxite, bituminous sandstone, gold iron placers, deposited oil mineral deposits and the like, can also be used for mining mineral deposits which are buried deeply and used as building materials, and is an effective mining method for sand, gravel and sandstone ores at the lower part of a permanent frozen soil layer.
In general, in the fluidized mining, a double-wall drill rod is used as a carrier, high-pressure water jet is adopted to realize mineral crushing, and the lifting of ore pulp is completed through a jet pump. As shown in figure 1, the outer flow passage of the double-wall drill rod is a high-pressure water channel, high-pressure water is a power source for crushing minerals and lifting ore pulp in the fluidization mining process, on one hand, high-pressure water forms high-pressure water jet through a hydraulic cutting nozzle to crush ore bodies, on the other hand, the high-pressure water forms pressure difference between the nozzle outlet and a drilling annulus after being sprayed out from a jet pump nozzle, and the ore pulp is sucked into the inner flow passage of the double-wall drill rod under the action of the pressure difference, so that the ore pulp lifting is realized. In addition, a plurality of turbulence nozzles can be arranged at the bottom of the double-wall drill rod, the turbulence nozzles jet flow to disturb ore pulp falling into the bottom of the drilling well, and the suction resistance of the jet pump to mineral particles at the bottom of the drilling well is reduced.
The lifting of the slurry in the vertical drilling is a core problem to be solved by the fluidization mining process. The resistance to be overcome by the vertical drilling ore pulp lifting mainly comprises static pressure energy of the ore pulp from the bottom of a drilling well to the ground, the loss of the ore pulp along the way in a flow passage in a double-wall drill rod and the dynamic pressure of the ore pulp. In the existing fluidized mining process, the slurry level in the double-wall drill pipe and the drilling annular space needs to be controlled to be close to the drilling wellhead. The self weight generated by the slurry column in the drilling annulus is balanced with the static pressure energy required by the slurry lifting, so that the total resistance of the slurry lifting is reduced. Although controlling the slurry level in the drilling annulus near the drilling wellhead is an effective way to achieve elevation of vertical drilling slurry, such a solution would cause high pressure water to exit the jet nozzles and first pass through the slurry environment and impact the ore body again, which would mean that fluidized mining breaks the ore body as submerged jets. For submerged jet, high-pressure water jet is sprayed out from a nozzle and then is mixed with ore pulp, the linear velocity of a jet axis is in a negative exponential decay rule, and the impact force of the high-pressure water jet is greatly weakened. Therefore, the single-well crushing radius and the production efficiency of the submerged jet fluidization mining process are low, and the popularization and the application of the fluidization mining process are limited.
In consideration of the well-forming cost of surface drilling and the economic benefit of the fluidization mining process, during fluidization mining, the high-pressure water jet can crush ore bodies in a non-submerged state by injecting high-pressure gas into the drilling annulus to force the liquid level in the drilling annulus to fall below the jet coal (rock) breaking nozzle. It is worth noting that a reliable non-submerged jet coal (rock) breaking process should meet the requirement that the high-pressure water jet always completes the breaking operation in a non-submerged state in the fluidized mining process. Therefore, the stability of the pulp level in the drilling annulus is an important target of the non-submerged jet fluidization mining process. Because the high-pressure water jet coal (rock) breaking process and the jet pump ore pulp lifting process are synchronous in time, the high-pressure water jet coal (rock) breaking process and the jet pump ore pulp lifting process need to have higher process matching performance between the high-pressure water jet coal (rock) breaking process and the jet pump ore pulp lifting process. The improvement performance of the jet pump ensures that the newly added ore pulp can be timely conveyed to the ground, and the operation environment of high-pressure water jet coal breaking is prevented from being changed from a non-submerged state to a submerged state. Therefore, the research on the matching of the fluidized mining process has important practical significance on the popularization and the application of the non-submerged jet fluidized mining method.
The matching of the non-submerged jet fluidization mining process mainly comprises two aspects of jet pump structure size and fluidization coal mining process parameter design. In one aspect, a jet pump is a fluid machine that utilizes turbulent diffusion to transfer energy and mass. However, the maximum defect of the jet pump is that the peak value lifting efficiency is low, and researches show that the maximum lifting efficiency of the jet pump is only 35%. Therefore, ensuring that the lifting efficiency of the jet pump approaches the peak value lifting efficiency is very important for improving the economic benefit of the application of the jet pump. Because no moving part exists in the jet pump, the structural size of the jet pump is an important influence factor for improving the performance of the jet pump. At present, researchers develop a large number of researches on the influence of the structural size of the jet pump on the efficiency of the jet pump, and provide an optimal jet pump performance equation empirical formula which is suitable for the working fluid and the sucked fluid which are the same medium. When the fluid contains particles, the velocity slip between the particles and the fluid has a great influence on the performance of the jet pump. The existing empirical formula of the optimal performance equation of the jet pump does not consider the key factor for a moment, and the structural design of the jet pump under a liquid-solid system is difficult to guide. On the other hand, the design of the fluidization mining process parameters should meet the requirement of high-pressure water jet non-submerged coal (rock) breaking, namely the pumping capacity of the jet pump is matched with the pulp production capacity, so as to maintain the stability of the pulp level in the drilling annulus in the non-submerged fluidization mining process. In addition, the actual pumping flow of the ore pulp by the jet pump is directly related to the fluidization mining process parameters, such as high-pressure water pressure, coal seam burial depth and the like, so that the fluidization mining process parameters still need to be matched and designed on the basis of obtaining the optimal structural size of the jet pump. However, at present, no relevant research records exist on the drilling non-submerged jet fluidization mining process parameter design method based on the jet pump.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a drilling non-submerged jet fluidization mining process parameter design method, which can realize the matching of the lifting performance of a jet pump in a non-submerged state and the fluidization mining rate, further realize the completion of ore body crushing operation of high-pressure water jet in the non-submerged state in the fluidization mining process, improve the fluidization mining efficiency, and provide theoretical guidance and data support for the popularization and application of the non-submerged jet fluidization mining method.
In order to realize the aim, the method for designing the technological parameters of the drilling non-submerged jet fluidization mining specifically comprises the following steps:
step1, designing the structure and size of a jet pump: setting initial values of the area ratio m and the flow rate ratio q of the jet pump according to empirical values, and setting the peak efficiency eta of the jet pump corresponding to the area ratio m of the jet pump max According to the method, the working efficiency eta of the jet pump is determined to be close to eta max Corresponding including jet pump nozzle outlet diameter D 1 The structure size of the jet pump and the theoretical pressure ratio h of the jet pump are set;
step2, design of technological parameters of fluidized mining: based on the structural size of the jet pump obtained in Step1, optimal fluidization mining process parameters are optimized by combining the occurrence conditions of the ore bed and the conditions of a drilling tool;
step2-1, according to the flow ratio q and the jet pump nozzle outlet diameter D 1 Presetting the diameter D of the outlet of the hydraulic cutting nozzle jet Initial value and outlet diameter D of turbulent flow nozzle subjet Initial value, adjusting high pressure water pressure P pumb And back pressure P b So that the actual pressure ratio h ' of the jet pump of the fluidization mining process is as close as possible to the theoretical pressure ratio h of the jet pump, and h ' is satisfied '<h;
Step2-2, adjusting the diameter D of the outlet of the hydraulic cutting nozzle jet And turbulent nozzle exit diameter D subjet Ensuring that the actual flow ratio q 'of the jet pump of the fluidization mining process is as close as possible to the theoretical flow ratio q of the jet pump and satisfies q'<q;
Step3, process matching degree verification: cavitation flow ratio q k The maximum flow ratio of the jet pump without cavitation erosion on the premise of giving the structural size of the jet pump is used for verifying whether the actual flow ratio q' of the jet pump in the fluidized mining process is smaller than the cavitation flow ratio q k If so, the structural size of the jet pump obtained at Step1 and the technological parameters of the fluidized mining obtained at Step2 are the optimal matching parameters; if not, modifying the initial value of the area ratio m or the flow ratio q of the jet pump according to the empirical value, and repeating the steps from Step1 to Step3 until the actual flow ratio q' of the jet pump of the fluidized mining process is smaller than the cavitation flow ratio q k
Further, in Step1, when the sucked fluid is a liquid-solid system, the basic equation of the jet pump is as follows:
Figure BDA0003864179620000041
Figure BDA0003864179620000042
Figure BDA0003864179620000043
Figure BDA0003864179620000044
Figure BDA0003864179620000045
Figure BDA0003864179620000046
Figure BDA0003864179620000047
in the formula:
Figure BDA0003864179620000048
is the flow rate coefficient of the nozzle;
Figure BDA0003864179620000049
the flow velocity coefficient of the throat;
Figure BDA00038641796200000410
is the flow rate coefficient of the diffuser tube;
Figure BDA00038641796200000411
is the flow velocity coefficient of the suction chamberTaking 0.95;
Figure BDA00038641796200000412
taking 1 as the flow velocity coefficient of the inlet section of the throat;
μ 1 the correction coefficient of the speed slippage of particles and liquid at the outlet section of the suction chamber; mu.s 2 The correction coefficient of the velocity slippage of the particles and the liquid at the inlet section of the throat pipe is obtained; mu.s 3 The correction coefficient of the velocity slippage of the particles and the liquid at the outlet section of the throat pipe is obtained;
a is a throat entrance function; c is the suction area ratio; q is a theoretical flow ratio; m is an area ratio; n is a coefficient related to the area ratio; delta is a fluid momentum correction coefficient of the outlet section of the throat pipe; beta is the contraction half angle of the inlet section of the throat pipe;
f 3 is the area of the throat entrance in m 2 ;f 1 Is the area of the nozzle outlet in m 2 ;f s1 Is the flow area of the sucked fluid in the section of the outlet of the suction chamber, and has a unit of m 2
k 1 Taking the coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe as 0.95; k' 1 The comprehensive coefficient of the uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe is the flow velocity distribution of the working fluid; k is a radical of 2 Taking a coefficient of uneven flow velocity distribution of the sucked fluid at the inlet section of the throat pipe, and taking 1.10; k' 2 The comprehensive coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe is obtained;
Figure BDA00038641796200000413
is the volume-weight ratio of the sucked fluid to the working fluid.
Furthermore, the correction coefficient mu of the sliding between the particles and the liquid speed at the outlet section of the suction chamber 1 Expressed as:
Figure BDA0003864179620000051
Figure BDA0003864179620000052
Figure BDA0003864179620000053
Figure BDA0003864179620000054
Figure BDA0003864179620000055
Figure BDA0003864179620000056
Figure BDA0003864179620000057
in the formula: c. C v Is the particle volume concentration;
Figure BDA0003864179620000058
the average flow velocity of the solid particles at the outlet section of the suction chamber is expressed in m/s; v. of s1 In order to neglect the average flow velocity of the sucked fluid on the outlet section of the suction chamber under the influence of particles, the unit is m/s; q s Is the flow rate of the fluid sucked by the jet pump, and has unit m 3 /s;f s1 Is the flow area of the sucked fluid in the section of the outlet of the suction chamber, and has a unit of m 2 ;D 1 The diameter of the outlet of the jet pump nozzle is unit m; l is c Is the distance between the laryngeal and the mouth in m; m is an area ratio; beta is the contraction half angle of the throat inlet section; v. of ss The flow velocity of fluid at the slurry suction port is in m/s; f drags The unit is N of drag force borne by the particles at the pulp suction port; g is gravity acceleration in m/s 2 (ii) a A is the projected area of the particles along the water flow direction, and the unit m 2 ;a 1 Taking 1.2 as a nozzle wall thickness correction coefficient; d p Is the maximum particle diameter of the particles at the pulp suction port, unit m; gamma ray p Particle volume weight, unit N/m 3 ;γ s Is the fluid volume weight of the pulp suction port,unit N/m 3 ;V p Is the volume of the maximum particle size particles at the pulp suction port, and the unit m 3
Figure BDA0003864179620000059
The sedimentation terminal speed of the particles with the maximum particle size at the pulp suction port is in unit of m/s; s is the area of the pulp suction port in m 2 ;L s Is the suction chamber length, in m; c d Taking the drag coefficient of the particles as 0.44;
correction coefficient mu of velocity slip of particles and liquid at inlet section of throat 2 Expressed as:
Figure BDA00038641796200000510
Figure BDA00038641796200000511
Figure BDA00038641796200000512
Figure BDA00038641796200000513
in the formula: v. of s2 In order to ignore the average flow velocity of the sucked fluid at the inlet section of the throat under the influence of particles, the unit is m/s;
Figure BDA00038641796200000514
the average flow velocity of solid particles at the inlet section of the throat pipe is unit m/s; f drag1 The drag force of the solid particles on the outlet section of the suction chamber is expressed in unit N; f. of 3 Is the area of the throat entrance in m 2 ;f 1 Is the area of the nozzle outlet in m 2 ;γ 1 The unit of volume weight of fluid at the inlet of the throat inlet is N/m 3
Correction coefficient mu of sliding between particles and liquid speed at throat outlet section 3 Expressed as:
Figure BDA0003864179620000061
Figure BDA0003864179620000062
Figure BDA0003864179620000063
Figure BDA0003864179620000064
in the formula: q is a theoretical flow ratio; v. of s3 In order to ignore the average flow velocity of the fluid at the outlet section of the throat under the influence of particles, the unit is m/s;
Figure BDA0003864179620000065
the average flow velocity of solid particles at the outlet section of the throat pipe is unit m/s; f drag2 The drag force of solid particles on the inlet section of the throat pipe is expressed in unit N; gamma ray 2 The unit of the volume weight of the fluid at the inlet of the throat pipe is N/m 3 ;Q 0 Is the flow rate of working fluid of the jet pump in m 3 /s。
Further, in Step2-1, the jet pump actual pressure ratio h' is expressed as:
P jetpumb =ρ lift gH+h lift +h v
Figure BDA0003864179620000066
in the formula: p jetpumb The energy required for lifting ore pulp to the ground under the condition of no back pressure is unit Pa; rho lift The unit of the density of ore pulp in a flow passage in a double-wall drill rod is kg/m 3 (ii) a g is gravity acceleration, m/s 2 ;h lift Is an ore pulp edge of an inner flow passage of a double-wall drill rodStroke resistance, unit Pa; h is int The on-way resistance of a double-wall drill rod outer flow passage water inlet pipe is expressed by unit Pa; h is v The dynamic pressure of ore pulp in a flow channel in the double-wall drill rod is in unit Pa; h is the lifting height of the ore pulp in m; p b Hydraulic mining back pressure in Pa; p pumb Is high pressure water pressure in Pa;
the energy P required for lifting the ore pulp to the ground under the condition of no back pressure jetpumb Pulp density rho of inner flow channel of double-wall drill rod in formula lift Expressed as:
Figure BDA0003864179620000067
in the formula: ρ is a unit of a gradient p In terms of ore bed density, in kg/m 3 (ii) a Rho is high-pressure water density and unit kg/m 3 ;Q water Is the flow rate of liquid in the sucked fluid in the slag returning pipe, and the unit m 3 /s;Q coal Is the flow rate of particles in the sucked fluid in the slag returning pipe, and the unit m 3 /s;Q’ 0 For the working fluid flow of a jet pump in a fluidized mining process, in m 3 /s;Q’ s For the sucked fluid flow of a jet pump in a fluidized mining process, in m 3 /s;
The ore pulp is lifted to the ground without back pressure to obtain the required energy P jetpumb Double-wall drill rod inner channel ore pulp dynamic pressure h in formula v Expressed as:
Figure BDA0003864179620000071
Figure BDA0003864179620000072
in the formula: u shape lift The flow rate of ore pulp in a flow channel in the double-wall drill rod is in the unit of m/s; a. The inner The inner diameter of the double-wall drill rod is unit m;
the energy P required for lifting the ore pulp to the ground under the condition of no back pressure jetpumb Formula and jet pump actual pressure ratio h' formulaInner runner ore pulp on-way resistance h of double-wall drill rod lift On-way resistance h of outer runner water inlet pipe of double-wall drill rod int Expressed as:
Figure BDA0003864179620000073
Figure BDA0003864179620000074
in the formula: lambda [ alpha ] lift Taking the friction coefficient of a flow channel in the double-wall drill rod to be 0.04; d lift The diameter of a flow channel in the double-wall drill rod is the unit m; lambda [ alpha ] int Taking the friction coefficient of an outer flow channel of the double-wall drill rod to be 0.04; d int The diameter is the hydraulic diameter of an outer flow channel of the double-wall drill rod and is unit m; u shape int The unit is m/s of the outer flow channel speed of the double-wall drill rod.
Further, in Step2-2, the actual flow rate ratio q' of the jet pump is expressed as:
Figure BDA0003864179620000075
in the formula: q' 0 The flow rate of the working fluid of the jet pump; q' s The flow rate of the fluid sucked by the jet pump;
working fluid flow Q 'of jet pump' 0 And jet pump sucked fluid flow rate Q' s Expressed as:
Figure BDA0003864179620000081
Q s '=Q water +Q coal
Figure BDA0003864179620000082
Figure BDA0003864179620000083
Figure BDA0003864179620000084
in the formula: u is high-pressure water speed in m/s; d 1 Is the nozzle exit diameter in m; q water Is the flow rate of liquid in the sucked fluid in the slag returning pipe, and the unit m 3 /s;Q coal Is the flow rate of particles in the sucked fluid in the slag returning pipe, and the unit m 3 /s;λ jet Taking the flow rate coefficient of the nozzle as 0.975; d jet The diameter of the outlet of the hydraulic cutting nozzle is in m; d subjet The diameter of the outlet of the turbulent flow nozzle is unit m; p is pumb Is high pressure water pressure in Pa; rho is high-pressure water density and unit kg/m 3 (ii) a H is the lifting height of the ore pulp in m; p b Hydraulic mining back pressure in Pa; h is int The on-way resistance of the double-wall drill rod outer flow passage water inlet pipe is in unit Pa.
Further, in Step3, the cavitation flow rate ratio q k Expressed as:
Figure BDA0003864179620000085
in the formula: m is the area ratio of the jet pump; h is a total of k Is the cavitation pressure ratio; epsilon is a cavitation flow ratio coefficient;
cavitation pressure ratio h k Expressed as:
Figure BDA0003864179620000086
in the formula: p is a Is atmospheric pressure in Pa; p b Is hydraulic mining back pressure, unit Pa; p pumb Is high pressure water pressure in Pa; rho lift The density of ore pulp in a double-wall drill rod inner flow channel is unit kg/m 3 (ii) a g is gravity acceleration in m/s 2 (ii) a H is the lifting height of the ore pulp in m; h is int Is an outer flow passage of a double-wall drill rodThe on-way resistance of the water inlet pipe is in unit Pa; p k Is the saturated vapor pressure of water, in Pa.
Compared with the prior art, the structural size of the jet pump and the drilling fluidization exploitation process parameters designed by the design method provided by the drilling non-submerged jet fluidization mining process parameter design method can meet the technical requirements of drilling non-submerged jet fluidization exploitation, namely the lifting capacity of the jet pump to ore pulp is matched with the ore pulp production capacity of high-pressure water jet in the fluidization exploitation process, and high-pressure gas with certain pressure is pressed into the drilling annulus in a matching manner, so that the liquid level of the ore pulp in the drilling annulus can be ensured to be lower than the height of a jet coal breaking nozzle, and the liquid level of the ore pulp in the drilling annulus is kept stable in the fluidization exploitation process, and the drilling non-submerged jet fluidization exploitation is realized; in addition, compared with submerged jet, the axial velocity attenuation rate of non-submerged jet under the same high-pressure water flow is obviously reduced, and the energy of high-pressure water jet is more concentrated, so that the drilling non-submerged jet environment formed by the design method of the patent not only can greatly improve the single-well mining radius of drilling fluidized mining, but also can obviously reduce the water consumption of a fluidized mining process while ensuring the mining radius, has obvious fluidized mining efficiency and economic benefit, and can provide theoretical guidance and data support for popularization and application of the non-submerged jet fluidized mining method.
Drawings
FIG. 1 is a schematic view of fluidized mining;
FIG. 2 is a schematic structural view of a jet pump, wherein I is a nozzle, II is a throat inlet section, III is a throat, IV is a diffuser, V is a suction chamber, VI is a double-wall drill pipe outer flow passage, s-s section is a slurry suction port section, c-c section is a diffuser outlet section, 0-0 section is a nozzle inlet section, 1-1 section is a suction chamber outlet section, 2-2 section is a throat inlet section, 3-3 section is a throat outlet section, and beta is a throat inlet section contraction half angle;
FIG. 3 is a flow chart of the present invention;
FIG. 4 is an enlarged partial view of the throat inlet section of the jet pump;
FIG. 5 is a diagram of a jet pump lift numerical calculation physical model in which (a) is a boundary condition diagram, (b) is a global model diagram, and (c) is a partial model diagram;
fig. 6 is a jet pump axis pressure distribution diagram.
Detailed Description
The invention is further described below with reference to the accompanying drawings.
As shown in fig. 2, the key components of the jet pump of the fluidization mining process include a nozzle, a throat inlet section, a throat, a diffuser and a suction chamber, and since the suction chamber is generally a channel structure with a uniform diameter and has a small influence on the performance of the jet pump, the influence of the suction chamber on the performance of the jet pump is ignored, and the structural names of the rest components to be designed are shown in table 1.
Table 1 jet pump key parts structure
Figure BDA0003864179620000091
Figure BDA0003864179620000101
The jet pump lift performance can be expressed in the following dimensionless quantities:
(1) theoretical flow ratio q:
Figure BDA0003864179620000102
in the formula: q s Is the flow rate of the sucked fluid, and has unit m 3 /s;Q 0 Is the working fluid flow rate, in m 3 /s。
(2) Theoretical pressure ratio h:
Figure BDA0003864179620000103
in the formula: p c Is the hydrostatic pressure at the outlet of the diffuser pipe, in Pa;
P s is hydrostatic pressure of slurry suction portPa, unit;
P 0 is the hydrostatic pressure of the working fluid inlet of the jet pump, and has the unit Pa;
v c the flow velocity of the fluid at the outlet of the diffusion tube is in m/s;
v s the flow velocity of the fluid at the slurry suction port is in m/s;
v 0 the flow rate of the fluid at the working fluid inlet of the jet pump is in m/s;
z c is the height of the outlet of the diffusion tube, in m;
z s is the height of the pulp sucking port in m;
z 0 is the height of the working fluid inlet of the jet pump, and is unit m;
γ c is the volume weight of the fluid at the outlet of the diffusion tube and has the unit of N/m 3
γ s The fluid volume weight of the pulp suction port is in the unit of N/m 3
γ 0 The fluid volume weight of the working fluid inlet of the jet pump is in the unit of N/m 3
(3) Area ratio m:
Figure BDA0003864179620000111
in the formula: f. of 3 Is the area of the throat entrance in m 2 ;f 1 Is the area of the nozzle outlet in m 2
(4) Efficiency η:
Figure BDA0003864179620000112
the jet pump performance equation is a functional relationship which must be satisfied between the pressure ratio, the flow ratio, the area ratio and the critical component structure size of the jet pump when the jet pump can lift sucked fluid to a target position. In addition, during fluidized mining, the method is limited by a drilling space, and the jet pump structural design not only meets the basic equation of the jet pump, but also ensures that the lifting efficiency of the jet pump on ore pulp is matched with the crushing efficiency of high-pressure water jet on an ore bed so as to ensure the fluidized mining efficiency.
As shown in FIG. 3, the parameter design method for the drilling non-submerged jet fluidization mining process comprises the following steps:
step1, designing the structure and size of a jet pump: initial values of the area ratio m and the flow ratio q of the jet pump are given according to empirical values, and then the structural size of the jet pump and the theoretical pressure ratio h of the jet pump corresponding to the highest working efficiency of the jet pump are determined by changing variable parameters of the jet pump.
The jet pump pressure ratio, the flow ratio and the structural size of key components meet the basic equation of the jet pump, which is a necessary and insufficient condition that the jet pump can lift the sucked fluid to a target position. When the absorbed fluid is a liquid-solid system, the basic equation of the jet pump is as follows:
Figure BDA0003864179620000121
Figure BDA0003864179620000122
Figure BDA0003864179620000123
Figure BDA0003864179620000124
Figure BDA0003864179620000125
Figure BDA0003864179620000126
Figure BDA0003864179620000127
in the formula:
Figure BDA0003864179620000128
is the flow rate coefficient of the nozzle;
Figure BDA0003864179620000129
the flow rate coefficient of the throat;
Figure BDA00038641796200001210
is the flow velocity coefficient of the diffuser tube;
Figure BDA00038641796200001211
taking the flow rate coefficient of the suction chamber as 0.95;
Figure BDA00038641796200001212
the flow rate coefficient of the throat inlet is related to the friction coefficient of the throat inlet, and the friction loss of the throat inlet can be ignored due to the short throat inlet
Figure BDA00038641796200001213
μ 1 Correction factor for particle and liquid velocity slip for suction chamber exit profile (profile 1-1 in FIG. 2);
μ 2 the correction coefficient of the particle and liquid velocity slip of the inlet section of the throat (section 2-2 in figure 2);
μ 3 the correction coefficient of the particle and liquid velocity slip of the outlet section of the throat (section 3-3 in figure 2);
a is a throat entrance function;
c is the suction area ratio;
q is a flow ratio;
m is an area ratio;
n is a coefficient related to the area ratio;
delta is the fluid momentum correction coefficient of the throat outlet section (section 3-3 in figure 2);
beta is the throat inlet section contraction half angle (as shown in figure 2);
f 3 is the area of the throat entrance in m 2
f 1 Is the area of the nozzle outlet in m 2
f s1 Is the flow area of the sucked fluid in the section of the outlet of the suction chamber, and has a unit of m 2
k 1 Taking the coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe as 0.95;
k' 1 the comprehensive coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe is obtained;
k 2 taking 1.10 as the coefficient of the flow velocity distribution unevenness of the sucked fluid at the inlet section of the throat;
k' 2 the comprehensive coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe is obtained;
Figure BDA0003864179620000131
is the volume-weight ratio of the sucked fluid to the working fluid.
In order to calculate the particle-to-fluid slip velocity in the jet pump, a drag model is introduced into the calculation of the particle velocity in the jet pump, and then the correction coefficient mu of the slip velocity of the particles and the fluid at the outlet section of the suction chamber is shown in FIG. 4 1 Can be expressed as:
Figure BDA0003864179620000132
Figure BDA0003864179620000133
Figure BDA0003864179620000134
Figure BDA0003864179620000135
Figure BDA0003864179620000136
Figure BDA0003864179620000137
Figure BDA0003864179620000138
in the formula: c. C v Is the particle volume concentration;
Figure BDA0003864179620000141
average flow velocity of solid particles at the outlet section of the suction chamber (section 1-1 in fig. 2), in m/s;
v s1 average flow velocity in m/s for the sucked fluid at the outlet profile of the suction chamber (profile 1-1 in fig. 2) neglecting the influence of particles;
Q s is the flow rate of the fluid sucked by the jet pump, and has unit m 3 /s;
f s1 Is the flow area of the sucked fluid in the section of the outlet of the suction chamber (section 1-1 in FIG. 2) 2
D 1 The diameter of the outlet of the jet pump nozzle is unit m;
L c is the distance between the laryngeal and the mouth in m;
m is an area ratio;
beta is the contraction half angle of the inlet section of the throat pipe;
v ss the flow velocity of fluid at the slurry suction port is in m/s;
F drags the unit is N of drag force borne by the particles at the pulp suction port;
g is gravity acceleration in m/s 2
A is the projected area of the particles along the water flow direction, and the unit m 2
a 1 Taking 1.2 as a nozzle wall thickness correction coefficient;
D p is the maximum particle diameter of the particles at the pulp suction port, unit m;
γ p particle volume weight, unit N/m 3
γ s Is the fluid volume weight of the pulp suction port, and the unit is N/m 3
V p Is the volume of the maximum particle size particles at the pulp suction port, and the unit m 3
Figure BDA0003864179620000142
The sedimentation terminal speed of the particles with the maximum particle size at the pulp suction port is in unit of m/s;
s is the area of the pulp suction port in unit m 2
L s Is the suction chamber length, in m;
C d for the particle drag coefficient, 0.44 was taken.
Correction coefficient mu of velocity slip of particles and liquid at inlet section of throat 2 Can be expressed as:
Figure BDA0003864179620000151
Figure BDA0003864179620000152
Figure BDA0003864179620000153
Figure BDA0003864179620000154
in the formula: v. of s2 Average flow velocity in m/s for the fluid being drawn at the throat entrance section (section 2-2 in FIG. 2) neglecting particle effects;
Figure BDA0003864179620000155
the average flow velocity of the solid particles at the inlet section (section 2-2 in FIG. 2) of the throat in m/s;
F drag1 the drag force on the solid particles at the outlet cross-section of the suction chamber (cross-section 1-1 in fig. 2) in units of N;
f 3 is the area of the throat entrance in m 2
f 1 Is the area of the nozzle outlet in m 2
γ 1 The volume weight of the fluid at the inlet of the throat inlet is N/m 3
Correction coefficient mu of velocity slippage between particles and liquid on throat outlet section 3 Can be expressed as:
Figure BDA0003864179620000156
Figure BDA0003864179620000157
Figure BDA0003864179620000158
Figure BDA0003864179620000159
in the formula: q is a theoretical flow ratio;
v s3 to ignore the average flow velocity of the fluid at the throat exit profile (profile 3-3 in FIG. 2) under the influence of particles, in m/s;
Figure BDA00038641796200001510
the average flow velocity of the solid particles at the exit section of the throat (section 3-3 in FIG. 2) is given in m/s;
F drag2 the drag force on the solid particles at the throat entrance section (section 2-2 in fig. 2) is given in units of N;
γ 2 the unit of the volume weight of the fluid at the inlet of the throat pipe is N/m 3
Q 0 Is the flow rate of working fluid of the jet pump, and has unit m 3 /s。
Step2, design of technological parameters of fluidized mining: and on the basis of the structural size of the jet pump obtained in the Step1, optimizing optimal fluidization mining process parameters by combining the occurrence conditions of the ore bed and the conditions of the drilling tool.
In general, the inner diameter and the outer diameter of a double-wall drill rod used for fluidized mining are fixed, so matched fluidized mining process parameters are designed according to the buried depth of a mineral seam and the conditions of a drilling tool when the fluidized mining is carried out. The technological parameters of fluidized mining mainly include high-pressure water pressure P pumb Hydraulic mining back pressure P b Diameter D of outlet of hydraulic cutting nozzle jet And turbulent nozzle exit diameter D subjet The specific design steps are as follows:
step2-1, according to the flow ratio q and the jet pump nozzle outlet diameter D 1 Presetting the diameter D of the outlet of the hydraulic cutting nozzle jet Initial value and outlet diameter D of turbulent flow nozzle subjet Initial value, adjusting high pressure water pressure P pumb And back pressure P b The actual pressure ratio h ' of the jet pump for fluidization mining is close to the theoretical pressure ratio h of the jet pump as much as possible and h ' is satisfied '<h。
The physical meaning of the pressure ratio in the fluidization mining process is the ratio of the energy required by the ore pulp at the bottom of a drilling well to be lifted to the ground to the total energy of high-pressure water at the inlet of the jet pump. The jet pump actual pressure ratio h' in fluidization mining can thus be expressed as:
P jetpumb =ρ lift gH+h lift +h v
Figure BDA0003864179620000161
in the formula: p is jetpumb The unit Pa is the energy required for lifting the ore pulp to the ground under the condition of no back pressure;
ρ lift the density of ore pulp in a double-wall drill rod inner flow channel is unit kg/m 3
g is the acceleration of gravity, m/s 2
h lift The resistance of the double-wall drill rod inner runner ore pulp along the way is in unit Pa;
h int the on-way resistance of a double-wall drill rod outer flow passage water inlet pipe is expressed by unit Pa;
h v the dynamic pressure is the pulp dynamic pressure of a flow channel in the double-wall drill rod, and the unit is Pa;
h is the lifting height of the ore pulp in m;
P b hydraulic mining back pressure in Pa;
P pumb is high pressure water pressure in Pa.
The energy P required for lifting the ore pulp to the ground under the condition of no back pressure jetpumb Pulp density rho of inner flow channel of double-wall drill rod in formula lift Can be expressed as:
Figure BDA0003864179620000171
in the formula: rho p In terms of ore bed density, in kg/m 3
Rho is high-pressure water density and unit kg/m 3
Q water Is the flow rate of liquid in the sucked fluid in the slag returning pipe, and the unit m 3 /s;
Q coal Is the flow rate of particles in the sucked fluid in the slag returning pipe, and the unit m 3 /s;
Q’ 0 For the working fluid flow of a jet pump in a fluidized mining process, in m 3 /s;
Q’ s For the sucked fluid flow of a jet pump in a fluidized mining process, in m 3 /s。
The ore discharge without back pressureEnergy P required for lifting the pulp to the ground jetpumb Double-wall drill rod inner channel ore pulp dynamic pressure h in formula v Can be expressed as:
Figure BDA0003864179620000172
Figure BDA0003864179620000173
in the formula: u shape lift The flow rate of ore pulp in a flow channel in the double-wall drill rod is in the unit of m/s;
A inner is the inner diameter of the double-wall drill rod in m.
The ore pulp is lifted to the ground without back pressure to obtain the required energy P jetpumb Formula and in-pass resistance h of double-wall drill rod inner channel ore pulp in jet pump actual pressure ratio h' formula lift On-way resistance h of outer runner water inlet pipe of double-wall drill rod int Can be expressed as:
Figure BDA0003864179620000174
Figure BDA0003864179620000175
in the formula: lambda lift Taking the friction coefficient of a flow channel in the double-wall drill rod to be 0.04;
d lift the diameter of a flow channel in the double-wall drill rod is the unit m;
λ int taking the friction coefficient of an outer flow channel of the double-wall drill rod to be 0.04;
d int the diameter is the hydraulic diameter of an outer flow channel of the double-wall drill rod and is unit m;
U int the unit is m/s of the outer flow channel speed of the double-wall drill rod.
Step2-2, adjusting the diameter D of the outlet of the hydraulic cutting nozzle jet And turbulent nozzle exit diameter D subjet So as to enable the fluidized mining processThe actual flow ratio q 'of the jet pump is as close as possible to the theoretical flow ratio q of the jet pump and satisfies q'<q。
When the efficiency of the jet pump for improving the ore pulp is matched with the efficiency of breaking coal by high-pressure water jet, the physical meaning of the actual flow ratio of the jet pump in the hydraulic mining process is the ratio of the sum of the high-pressure water flow and the coal dropping flow for breaking coal by jet to the working fluid flow of the jet pump. That is, the actual flow ratio q' of the jet pump in the fluidized mining process can be expressed as:
Figure BDA0003864179620000181
in the formula: q' 0 The flow rate of the working fluid of the jet pump; q' s Is the flow rate of the fluid sucked by the jet pump.
The coal flow in the fluidization mining process is about 10 percent of the high-pressure water jet flow in a unit time, and then the working fluid flow Q 'of the jet pump in the fluidization mining process' 0 And jet pump sucked fluid flow rate Q' s Can be expressed as:
Figure BDA0003864179620000182
Q s '=Q water +Q coal
Figure BDA0003864179620000183
Figure BDA0003864179620000184
Figure BDA0003864179620000185
in the formula: u is high-pressure water speed in m/s;
D 1 is the nozzle exit diameter in m;
Q water is the flow rate of liquid in the sucked fluid in the slag returning pipe, and the unit m 3 /s;
Q coal Is the flow rate of particles in the sucked fluid in the slag returning pipe, and the unit is m 3 /s;
λ jet Taking the flow rate coefficient of the nozzle as 0.975;
D jet the diameter of the outlet of the hydraulic cutting nozzle is in m;
D subjet the diameter of the outlet of the turbulent flow nozzle is unit m;
P pumb is high pressure water pressure in Pa;
rho is high-pressure water density and unit kg/m 3
H is the lifting height of the ore pulp in m;
P b hydraulic mining back pressure in Pa;
h int the on-way resistance of the double-wall drill rod outer flow passage water inlet pipe is in unit Pa.
Step3, process matching degree verification: cavitation flow ratio q k The maximum flow ratio of the jet pump without cavitation under the premise of giving the structural size of the jet pump is used for verifying whether the actual flow ratio q' of the jet pump for fluidized mining is smaller than the cavitation flow ratio q k If so, the structure size of the jet pump obtained at Step1 and the fluidization mining process parameters obtained at Step2 are optimal matching parameters; if not, modifying the initial value of the area ratio m or the flow ratio q of the jet pump according to the empirical value, and repeating the steps from Step1 to Step3 until the actual flow ratio q' of the jet pump for fluidized mining is smaller than the cavitation flow ratio q k
Cavitation flow ratio q k Can be expressed as:
Figure BDA0003864179620000191
in the formula: m is the area ratio of the jet pump; h is k Is the cavitation pressure ratio;
epsilon is the cavitation flow rate ratio coefficient.
The cavitation flow rate ratio q k Cavitation pressure ratio h in formula k Can be expressed as:
Figure BDA0003864179620000192
in the formula: p is a Is atmospheric pressure, in Pa;
P b is hydraulic mining back pressure, unit Pa;
P pumb is high pressure water pressure in Pa;
ρ lift the unit of the density of ore pulp in a flow passage in a double-wall drill rod is kg/m 3
g is gravity acceleration in m/s 2
H is the lifting height of the ore pulp in m;
h int the on-way resistance of a double-wall drill rod outer flow passage water inlet pipe is expressed by unit Pa;
P k is the saturated vapor pressure of water in Pa.
The present invention is further illustrated by the following examples.
Taking the example of fluidized mining adopted by a coal seam with the embedding depth of 425m of a certain coal mine, the inner diameter of a double-wall drill rod is 120mm, and the annular space of the double-wall drill rod is 18mm, according to the steps, the optimal jet pump structure size and the optimal field process parameters in the fluidized mining process of the coal seam are respectively shown in the following tables 2 and 3.
TABLE 2 jet pump construction parameters
Parameter name Numerical value Parameter name Numerical value
Area ratio m 8 Nozzle outlet diameter D 1 9.5mm
Flow rate ratio q 2.18 Nozzle length 39mm
Area S of pulp suction port 0.0018m 2 Length of throat Lt 188mm
Number of pulp suction ports 4 Diameter D of throat 3 27mm
Distance L between laryngeal and laryngeal c 14.25mm Length of diffusion tube 750mm
Throat inlet section contraction half angle beta 30° Diameter D of outlet of diffusion tube c 120mm
Nozzle inlet diameter D 0 50mm Theoretical pressure ratio h 0.1117
TABLE 3 in-situ Process parameters
Parameter name Numerical value Parameter name Numerical value
High pressure water pressure P pumb 17MPa Inner flow passage diameter D of double-wall drill rod c 120mm
Back pressure P b 3.05MPa Outer flow passage gap of double-wall drill rod 18mm
Height of lift H 425m Diffuser pipe outlet pressure P k 4.75MPa
Jet coal breaking nozzle diameter D jet 13.2mm Actual pressure ratio h' 0.114
Diameter D of turbulent nozzle subjet 1.5mm Actual flow ratio q' 2.17
Number of turbulent flow nozzles 2 Jet pump design to increase total flow 34.11kg/s
In order to verify the rationality of the drilling non-submerged jet fluidization mining process parameter design method, a numerical calculation model is adopted to verify the lifting performance of the jet pump. In order to reduce the calculation amount, the numerical calculation model only comprises the double-wall drill pipe inner flow passage. The dimensions of the diffuser and throat are as in table 2 above, with a riser length of 400mm overall. The numerical calculation physical model is shown in fig. 5. The numerical calculation boundary conditions are shown in table 4 below.
TABLE 4 numerical calculation boundary conditions
Boundary name Numerical values (MPa)
Pressure inlet P int 18.30
Pressure inlet P b 3.05
Pressure outlet P out 4.75
The total lifting flow of the jet pump is 33.16kg/s, and compared with the total lifting mass of 34.11kg/s designed by the jet pump, the relative error is only 2.79 percent, thereby meeting the design requirement of the drilling non-submerged jet fluidization mining process.
In addition, the peak of the operation efficiency of the jet pump is related to the area ratio m, and when the area ratio m =8, the peak of the operation efficiency of the jet pump is about 30%. Through calculation, when the area ratio of the jet pump is 8m, the lifting efficiency of the jet pump designed by the design method provided by the patent is 31.1 percent, which is equivalent to the peak efficiency of the jet pump under the same area ratio. Meanwhile, the jet pump axial pressure monitoring line is shown in fig. 5 (a). The jet pump pressure profile along the pressure monitoring line is shown in fig. 6. As can be seen from FIG. 6, the high pressure water drops sharply after being ejected from the jet pump nozzle and drops to a minimum value (2.05 MPa) at the throat entrance. The minimum pressure in the jet pump is far larger than the saturated vapor pressure of water at normal temperature and normal pressure, which shows that the jet pump of the embodiment can not generate cavitation when lifting ore pulp.
The optimal jet pump structure size and the matched on-site fluidization mining process parameters under the conditions of known ore bed burial depth, double-wall drill rod size, ore bed physical properties and the like can be obtained by utilizing the drilling non-submerging jet fluidization mining process parameter design method, the optimization result can meet the requirement that the high-pressure water jet completes ore body crushing operation in a non-submerging state in the fluidization mining process, further the fluidization mining efficiency is improved, and theoretical guidance and data support can be provided for popularization and application of the non-submerging fluidization mining method.

Claims (6)

1. A drilling non-submerged jet fluidization mining process parameter design method is characterized by comprising the following steps:
step1, designing the structural size of the jet pump: setting the area ratio m and the flow ratio of the jet pump according to empirical valuesq, the jet pump peak efficiency eta corresponding to the jet pump area ratio m max According to the method, the working efficiency eta of the jet pump is determined to be close to eta max Including jet pump nozzle outlet diameter D 1 The structure size of the jet pump and the theoretical pressure ratio h of the jet pump are set;
step2, design of technological parameters of fluidized mining: based on the structural size of the jet pump obtained in Step1, optimal fluidization mining process parameters are optimized by combining the occurrence conditions of the ore bed and the conditions of a drilling tool;
step2-1, according to the flow ratio q and the jet pump nozzle outlet diameter D 1 Presetting the diameter D of the outlet of the hydraulic cutting nozzle jet Initial value and outlet diameter D of turbulent flow nozzle subjet Initial value, adjusting high pressure water pressure P pumb And back pressure P b So that the actual pressure ratio h ' of the jet pump of the fluidization mining process is as close as possible to the theoretical pressure ratio h of the jet pump and h ' is satisfied '<h;
Step2-2, adjusting the diameter D of the outlet of the hydraulic cutting nozzle jet And turbulent nozzle exit diameter D subjet Ensuring that the actual flow ratio q 'of the jet pump of the fluidization mining process is as close as possible to the theoretical flow ratio q of the jet pump and satisfies q'<q;
Step3, process matching degree verification: cavitation flow ratio q k The maximum flow ratio of the jet pump without cavitation erosion on the premise of giving the structural size of the jet pump is used for verifying whether the actual flow ratio q' of the jet pump in the fluidized mining process is smaller than the cavitation flow ratio q k If so, the structural size of the jet pump obtained at Step1 and the technological parameters of the fluidized mining obtained at Step2 are the optimal matching parameters; if not, modifying the initial value of the area ratio m or the flow ratio q of the jet pump according to the empirical value, and repeating the steps from Step1 to Step3 until the actual flow ratio q' of the jet pump of the fluidized mining process is smaller than the cavitation flow ratio q k
2. The method for designing the parameters of the drilling non-submerged jet fluidization mining process as claimed in claim 1, wherein in Step1, when the sucked fluid is a liquid-solid system, the basic equation of the jet pump is as follows:
Figure FDA0003864179610000021
Figure FDA0003864179610000022
Figure FDA0003864179610000023
Figure FDA0003864179610000024
Figure FDA0003864179610000025
Figure FDA0003864179610000026
Figure FDA0003864179610000027
in the formula:
Figure FDA0003864179610000028
is the flow rate coefficient of the nozzle;
Figure FDA0003864179610000029
the flow rate coefficient of the throat;
Figure FDA00038641796100000210
is the flow rate coefficient of the diffuser tube;
Figure FDA00038641796100000211
taking the flow rate coefficient of the suction chamber as 0.95;
Figure FDA00038641796100000212
taking 1 as the flow velocity coefficient of the inlet section of the throat;
μ 1 the correction coefficient of the speed slippage of particles and liquid at the outlet section of the suction chamber; mu.s 2 The correction coefficient of the velocity slippage of the particles and the liquid at the inlet section of the throat pipe is obtained; mu.s 3 The correction coefficient of the velocity slippage of the particles and the liquid on the section of the outlet of the throat pipe;
a is a throat entrance function; c is the suction area ratio; q is a theoretical flow ratio; m is an area ratio; n is a coefficient related to the area ratio; delta is a fluid momentum correction coefficient of the outlet section of the throat pipe; beta is the contraction half angle of the throat inlet section;
f 3 is the area of the throat entrance in m 2 ;f 1 Is the area of the nozzle outlet in m 2 ;f s1 Is the flow area of the sucked fluid in the section of the outlet of the suction chamber, and has a unit of m 2
k 1 Taking the coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe as 0.95; k' 1 The comprehensive coefficient of the uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe is the flow velocity distribution of the working fluid; k is a radical of 2 Taking a coefficient of uneven flow velocity distribution of the sucked fluid at the inlet section of the throat pipe, and taking 1.10; k' 2 The comprehensive coefficient of uneven distribution of the flow velocity of the working fluid at the inlet section of the throat pipe is obtained;
Figure FDA00038641796100000213
is the volume-weight ratio of the sucked fluid to the working fluid.
3. The method for designing parameters of a drilling non-submerged jet fluidization mining process according to claim 2, wherein the correction coefficient μ for the slip of the particles and the liquid velocity at the outlet profile of the suction chamber 1 Expressed as:
Figure FDA0003864179610000031
Figure FDA0003864179610000032
Figure FDA0003864179610000033
Figure FDA0003864179610000034
Figure FDA0003864179610000035
Figure FDA0003864179610000036
Figure FDA0003864179610000037
in the formula: c. C v Is the particle volume concentration;
Figure FDA0003864179610000038
the average flow velocity of the solid particles at the outlet section of the suction chamber is expressed in m/s; v. of s1 In order to neglect the average flow velocity of the sucked fluid at the outlet section of the suction chamber under the influence of particles, the unit is m/s; q s Is the flow rate of the fluid sucked by the jet pump, and has unit m 3 /s;f s1 Is the flow area of the sucked fluid in the section of the outlet of the suction chamber, and has a unit of m 2 ;D 1 The diameter of the outlet of the jet pump nozzle is unit m; l is c Is the distance between the laryngeal and the mouth in m; m is an area ratio; beta is the contraction half angle of the throat inlet section; v. of ss For the slurry suction portFluid flow rate, in m/s; f drags The unit is N of drag force borne by the particles at the pulp suction port; g is gravity acceleration in m/s 2 (ii) a A is the projected area of the particles along the water flow direction, and the unit m 2 ;a 1 Taking 1.2 as a nozzle wall thickness correction coefficient; d p Is the maximum particle diameter of the particles at the pulp suction port, unit m; gamma ray p Particle volume weight, unit N/m 3 ;γ s The fluid volume weight of the pulp suction port is in the unit of N/m 3 ;V p Is the volume of the maximum particle size particles at the pulp suction port, and the unit m 3
Figure FDA0003864179610000039
The sedimentation terminal speed of the particles with the maximum particle size at the pulp suction port is in unit of m/s; s is the area of the pulp suction port in unit m 2 ;L s Is the suction chamber length, in m; c d Taking the drag coefficient of the particles to be 0.44;
correction coefficient mu of velocity slip of particles and liquid at inlet section of throat 2 Expressed as:
Figure FDA00038641796100000310
Figure FDA00038641796100000311
Figure FDA00038641796100000312
Figure FDA00038641796100000313
in the formula: v. of s2 In order to ignore the average flow velocity of the sucked fluid at the inlet section of the throat under the influence of particles, the unit is m/s;
Figure FDA00038641796100000314
the average flow velocity of solid particles at the inlet section of the throat pipe is expressed in m/s; f drag1 The drag force of the solid particles on the outlet section of the suction chamber is expressed by N; f. of 3 Is the area of the throat entrance in m 2 ;f 1 Is the area of the nozzle outlet in m 2 ;γ 1 The unit of the volume weight of the fluid at the inlet of the throat pipe is N/m 3
Correction coefficient mu of sliding between particles and liquid speed at throat outlet section 3 Expressed as:
Figure FDA0003864179610000041
Figure FDA0003864179610000042
Figure FDA0003864179610000043
Figure FDA0003864179610000044
in the formula: q is a theoretical flow ratio; v. of s3 In order to ignore the average flow velocity of the fluid at the outlet section of the throat under the influence of particles, the unit is m/s;
Figure FDA0003864179610000045
the average flow velocity of solid particles at the outlet section of the throat pipe is unit m/s; f drag2 The drag force of solid particles on the inlet section of the throat pipe is expressed in unit N; gamma ray 2 The unit of the volume weight of the fluid at the inlet of the throat pipe is N/m 3 ;Q 0 Is the flow rate of working fluid of the jet pump in m 3 /s。
4. The method for designing parameters of a drilling non-submerged jet fluidization mining process, which is characterized in that in Step2-1, the actual pressure ratio h' of a jet pump is expressed as follows:
P jetpumb =ρ lift gH+h lift +h v
Figure FDA0003864179610000046
in the formula: p jetpumb The energy required for lifting ore pulp to the ground under the condition of no back pressure is unit Pa; rho lift The density of ore pulp in a double-wall drill rod inner flow channel is unit kg/m 3 (ii) a g is the acceleration of gravity, m/s 2 ;h lift The resistance of the inner runner of the double-wall drill rod along the way is in unit Pa; h is int The on-way resistance of a double-wall drill rod outer flow channel water inlet pipe is in unit Pa; h is a total of v The dynamic pressure is the pulp dynamic pressure of a flow channel in the double-wall drill rod, and the unit is Pa; h is the lifting height of ore pulp in unit m; p b Hydraulic mining back pressure in Pa; p pumb Is high pressure water pressure in Pa;
the ore pulp is lifted to the ground without back pressure to obtain the required energy P jetpumb Pulp density rho of inner flow channel of double-wall drill rod in formula lift Expressed as:
Figure FDA0003864179610000047
in the formula: ρ is a unit of a gradient p In terms of ore bed density in kg/m 3 (ii) a Rho is high-pressure water density and unit kg/m 3 ;Q water Is the flow rate of liquid in the sucked fluid in the slag returning pipe, and the unit m 3 /s;Q coal Is the flow rate of particles in the sucked fluid in the slag returning pipe, and the unit m 3 /s;Q’ 0 For the working fluid flow of a jet pump in a fluidized mining process, in m 3 /s;Q’ s For the sucked fluid flow of a jet pump in a fluidized mining process, in m 3 /s;
The energy P required for lifting the ore pulp to the ground under the condition of no back pressure jetpumb In the formulaDouble-wall drill rod inner flow channel ore pulp dynamic pressure h v Expressed as:
Figure FDA0003864179610000051
Figure FDA0003864179610000052
in the formula: u shape lift The flow rate of ore pulp in a flow channel in the double-wall drill rod is in the unit of m/s; a. The inner The inner diameter of the double-wall drill rod is unit m;
the energy P required for lifting the ore pulp to the ground under the condition of no back pressure jetpumb Formula and in-process resistance h of double-wall drill rod inner runner ore pulp in jet pump actual pressure ratio h' formula lift And the on-way resistance h of the double-wall drill rod outer flow passage water inlet pipe int Expressed as:
Figure FDA0003864179610000053
Figure FDA0003864179610000054
in the formula: lambda [ alpha ] lift Taking the friction coefficient of a flow channel in the double-wall drill rod to be 0.04; d is a radical of lift The diameter of a flow channel in the double-wall drill rod is the unit m; lambda [ alpha ] int Taking the friction coefficient of an outer flow channel of the double-wall drill rod as 0.04; d int The diameter is the hydraulic diameter of an outer flow channel of the double-wall drill rod and is unit m; u shape int The unit is m/s of the outer flow channel speed of the double-wall drill rod.
5. The method for designing the parameters of the drilling non-submerged jet fluidization mining process according to the claim 1, wherein in Step2-2, the actual flow rate ratio q' of the jet pump is expressed as:
Figure FDA0003864179610000055
in the formula: q' 0 The flow rate of the working fluid of the jet pump; q' s The flow rate of the fluid sucked by the jet pump;
jet pump working fluid flow Q' 0 And jet pump sucked fluid flow rate Q' s Expressed as:
Figure FDA0003864179610000061
Q’ s =Q water +Q coal
Figure FDA0003864179610000062
Figure FDA0003864179610000063
Figure FDA0003864179610000064
in the formula: u is high-pressure water speed in m/s; d 1 Is the nozzle exit diameter in m; q water Is the flow rate of liquid in the sucked fluid in the slag returning pipe, and the unit m 3 /s;Q coal Is the flow rate of particles in the sucked fluid in the slag returning pipe, and the unit is m 3 /s;λ jet Taking the flow rate coefficient of the nozzle as 0.975; d jet Is the diameter of the outlet of the hydraulic cutting nozzle, and is in m; d subjet Is the diameter of the outlet of the turbulent flow nozzle, and is unit m; p is pumb Is high pressure water pressure in Pa; rho is high-pressure water density and unit kg/m 3 (ii) a H is the lifting height of the ore pulp in m; p b Is hydraulic mining back pressure, unit Pa; h is int The unit is the on-way resistance of the double-wall drill rod outer flow passage water inlet pipe and is Pa.
6. The method for designing parameters of a drilling non-submerged jet fluidization mining process as claimed in claim 1, wherein in Step3, the cavitation flow ratio q is k Expressed as:
Figure FDA0003864179610000065
in the formula: m is the area ratio of the jet pump; h is k Is cavitation pressure ratio; epsilon is the cavitation flow ratio coefficient;
cavitation pressure ratio h k Expressed as:
Figure FDA0003864179610000066
in the formula: p a Is atmospheric pressure, in Pa; p b Hydraulic mining back pressure in Pa; p pumb Is high pressure water pressure in Pa; ρ is a unit of a gradient lift The unit of the density of ore pulp in a flow passage in a double-wall drill rod is kg/m 3 (ii) a g is gravity acceleration in m/s 2 (ii) a H is the lifting height of ore pulp in unit m; h is int The on-way resistance of a double-wall drill rod outer flow passage water inlet pipe is expressed by unit Pa; p k Is the saturated vapor pressure of water, in Pa.
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