Method and device for determining self-flowing distance of paste filling slurry, equipment and medium

Abstract

This invention discloses a method, apparatus, equipment, and medium for determining the gravity-flow conveying distance of paste-filled slurry, relating to the field of paste-filling technology in underground mines. The method includes: obtaining the static yield stress of the paste-filled slurry and the pipeline parameters of the gravity-flow pipeline; based on the friction loss mechanism of the paste slurry under the ultimate flow velocity start-up state, constructing a critical gravity-flow equilibrium equation based on the static yield stress and pipeline parameters; calculating the maximum gravity-flow length of the paste-filled slurry based on the critical gravity-flow equilibrium equation; calculating the maximum horizontal gravity-flow conveying distance of the paste-filled slurry based on the pipeline parameters and the maximum gravity-flow length; and correcting the distance based on an engineering safety correction factor to obtain the designed horizontal conveying distance. Thus, by utilizing the static yield stress to establish a critical equilibrium equation between the gravity-driven pressure head and yield resistance under the start-up limit state where the flow velocity approaches zero, the horizontal conveying distance can be obtained, significantly improving the determination accuracy.

Description

Technical Field

[0001] This invention relates to the field of paste filling technology in underground mines, and in particular to a method, apparatus, equipment and medium for determining the gravity flow conveying distance of paste filling slurry. Background Technology

[0002] In the field of underground mine paste backfilling engineering, to reduce pumping energy consumption and equipment investment, the topographical elevation difference between the surface backfilling station and the underground goaf is often utilized to allow high-concentration paste backfill slurry to be gravity-fed in pipelines. Currently, the industry's assessment of gravity-flow capacity mainly relies on empirical analogy, hydraulic calculations based on the modified Darcy-Weisbach formula, and pipeline transport resistance calculations based on the Bingham fluid model and Buckingham equations.

[0003] It is known that existing technologies either rely too much on subjective experience or apply fluid dynamics models that do not match the physical mechanisms. They have failed to establish a quantitative criterion for the range of gravity-flow transportation that takes "whether it can be started" as the core and integrates the actual rheological characteristics of the slurry and the actual layout characteristics of the pipeline. This has led to frequent engineering accidents on site where "theoretical calculations are feasible, but actual operation results in pipe blockage". Summary of the Invention

[0004] In view of this, the purpose of the present invention is to overcome the shortcomings of the prior art and provide a method, apparatus, equipment and medium for determining the gravity flow transportation distance of paste filling slurry. This method uses static yield stress to determine the feasibility of gravity flow and predicts the maximum horizontal distance that high-concentration paste filling slurry can achieve stable gravity flow transportation under gravity, thereby improving prediction accuracy and engineering reliability.

[0005] This invention provides the following technical solution: In a first aspect, the present invention provides a method for determining the gravity-flow conveying distance of a paste-filling slurry, comprising: Obtain the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline; Based on the friction loss mechanism of paste slurry under the ultimate flow velocity start-up state, a critical self-flow equilibrium equation based on the static yield stress is constructed according to the static yield stress and the pipeline parameters. The maximum self-flow length of the paste filling slurry is calculated based on the critical self-flow equilibrium equation. Calculate the maximum horizontal gravity transport distance of the paste filling slurry based on the pipeline parameters and the maximum gravity flow length; The maximum horizontal gravity conveying distance is corrected based on the engineering safety correction factor to obtain the design horizontal conveying distance of the paste filling slurry.

[0006] In an optional implementation, the expression for the critical self-flow equilibrium equation is: In the formula, The density of the filling slurry in the paste, It is the acceleration due to gravity. The total elevation difference in the pipeline parameters is the total elevation difference in the pipeline. The static yield stress, The inner diameter of the pipe in the pipeline parameters is... The total length of the pipeline in the pipeline parameters is... The first in the gravity flow pipeline Additional starting head loss caused by a local component The number of local components in the gravity flow pipeline.

[0007] In an optional implementation, the expression for the critical self-flow equilibrium equation is: In the formula, The density of the filling slurry in the paste, It is the acceleration due to gravity. The total elevation difference in the pipeline parameters is the total elevation difference in the pipeline. The static yield stress, The inner diameter of the pipe in the pipeline parameters is... The total length of the pipeline in the pipeline parameters is... The equivalent straight pipe length of the local component in the gravity flow pipeline.

[0008] In an optional implementation, the formula for calculating the maximum self-flow length is: In the formula, The maximum self-flow length is given.

[0009] In an optional embodiment, calculating the maximum horizontal gravity-flow conveying distance of the paste-filled slurry based on the pipeline parameters and the maximum gravity-flow length includes: Obtain the cosine value of the average inclination angle in the pipeline parameters; The maximum horizontal gravity conveying distance is obtained based on the cosine value and the maximum gravity flow length.

[0010] In an optional implementation, after correcting the maximum horizontal gravity-flow conveying distance based on the engineering safety correction factor to obtain the design conveying horizontal distance of the paste filling slurry, the process includes: Determine whether the actual horizontal conveying distance of the paste filling slurry is less than or equal to the designed horizontal conveying distance; If not, adjust the self-flow parameters corresponding to the paste filling slurry.

[0011] In an optional embodiment, obtaining the static yield stress of the paste filling slurry includes any one of the following features (1) to (3): (1) Obtain the static yield stress of the paste filling slurry after it has been left to stand for a preset time; (2) Obtain the dynamic yield stress and the increment of the starting additional stress of the paste filling slurry, and obtain the static yield stress based on the dynamic yield stress and the increment of the starting additional stress; (3) Obtain the minimum inlet pressure required for the paste filling slurry to start flowing after a preset standing time, and calculate the static yield stress based on the minimum inlet pressure and the pipeline parameters.

[0012] In a second aspect, the present invention provides a device for determining the distance of gravity-flow conveying of paste filling slurry, comprising: The acquisition module is used to acquire the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline. A construction module is used to construct the friction loss mechanism of paste slurry under the extreme flow rate start-up state, and to construct the critical self-flow equilibrium equation based on the static yield stress and the pipeline parameters. The solution module is used to calculate the maximum self-flow length of the paste filling slurry based on the critical self-flow equilibrium equation. The calculation module is used to calculate the maximum horizontal gravity flow transport distance of the paste filling slurry based on the pipeline parameters and the maximum gravity flow length. The correction module is used to correct the maximum horizontal gravity conveying distance based on the engineering safety correction factor, so as to obtain the design conveying horizontal distance of the paste filling slurry.

[0013] Thirdly, the present invention provides a computer device including a memory and a processor, wherein the memory stores a computer program, and when the computer program is executed by the processor, it implements the method for determining the gravity flow conveying distance of paste filling slurry as described in any of the foregoing embodiments.

[0014] Fourthly, the present invention provides a computer-readable storage medium storing a computer program that, when executed by a processor, implements the method for determining the self-flowing conveying distance of paste filling slurry as described in any of the foregoing embodiments.

[0015] This invention discloses a method, apparatus, equipment, and medium for determining the gravity flow transport distance of paste filling slurry. The method involves obtaining the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline. Based on the friction loss mechanism of the paste slurry under the ultimate flow velocity start-up state, a critical gravity flow equilibrium equation is constructed based on the static yield stress and the pipeline parameters. The maximum gravity flow length of the paste filling slurry is calculated based on the critical gravity flow equilibrium equation. The maximum horizontal gravity flow transport distance of the paste filling slurry is calculated based on the pipeline parameters and the maximum gravity flow length. The maximum horizontal gravity flow transport distance is corrected based on an engineering safety correction factor to obtain the design horizontal transport distance of the paste filling slurry. In this way, by taking static yield stress as the core criterion, a critical equilibrium equation between gravity-driven pressure head and yield resistance is established under the starting limit state where the flow velocity approaches zero. This allows for the calculation of the maximum horizontal distance that high-concentration paste filling slurry can achieve stable gravity-flow transportation under gravity. Furthermore, by using an engineering safety correction factor, the theoretical value is converted into a practically reliable horizontal transportation distance, significantly improving the prediction accuracy and effectively avoiding the problem of theoretical feasibility but actual pipe blockage. This method is suitable for the scientific planning and intelligent scheduling of paste filling systems in underground mines such as metal mines. Attached Figure Description

[0016] To more clearly illustrate the technical solution of the present invention, the accompanying drawings used in the embodiments will be briefly described below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation on the scope of protection of the present invention. In the various drawings, similar components are numbered similarly.

[0017] Figure 1 A flowchart illustrating the method for determining the self-flowing conveying distance of paste filling slurry proposed in this embodiment is shown. Figure 2 This illustration shows another flowchart of the method for determining the self-flowing conveying distance of paste filling slurry proposed in this embodiment; Figure 3 A schematic diagram of the apparatus for determining the distance of self-flowing paste filling slurry proposed in this embodiment is shown.

[0018] Explanation of reference numerals in the attached diagram: 300-Device for determining the distance of gravity-flow conveying of paste filling slurry; 301-Acquisition module; 302-Construction module; 303-Solution module; 304-Calculation module; 305-Correction module. Detailed Implementation

[0019] The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments.

[0020] The components of the embodiments of the invention described and illustrated herein can typically be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the invention without inventive effort are within the scope of protection of the invention.

[0021] In the following, the terms “comprising,” “having,” and their cognates, which may be used in various embodiments of the invention, are intended only to indicate a particular feature, number, step, operation, element, component, or combination thereof, and should not be construed as excluding, firstly, the presence of one or more other features, numbers, steps, operations, elements, components, or combinations thereof, or adding the possibility of one or more features, numbers, steps, operations, elements, components, or combinations thereof.

[0022] Furthermore, the terms "first," "second," and "third" are used only to distinguish descriptions and should not be interpreted as indicating or implying relative importance.

[0023] Unless otherwise specified, all terms used herein (including technical and scientific terms) shall have the same meaning as commonly understood by one of ordinary skill in the art to which the various embodiments of the invention pertain. Terms (such as those defined in commonly used dictionaries) shall be interpreted as having the same meaning as in their contextual meaning in the relevant technical field and shall not be interpreted as having an idealized or overly formal meaning, unless clearly defined in the various embodiments of the invention.

[0024] Example 1 This disclosure provides a method for determining the gravity flow transport distance of paste filling slurry. It uses static yield stress to determine the feasibility of gravity flow and predicts the maximum horizontal distance that high-concentration paste filling slurry can achieve stable gravity flow transport under gravity, thereby improving prediction accuracy and engineering reliability.

[0025] Please see Figure 1 The method for determining the gravity flow conveying distance of the paste filling slurry includes steps S101 to S105, and each step is described in detail below.

[0026] Step S101: Obtain the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline.

[0027] In this embodiment, the static yield stress of the paste filling slurry is obtained, which refers to the initial shear stress that the paste filling slurry needs to overcome to start flowing from a static state, reflecting the strength recovery ability of its internal particle network structure after standing; in addition, the pipeline parameters of the gravity flow pipeline also need to be obtained.

[0028] Piping parameters for gravity flow pipelines, including total elevation difference. (m), Pipe inner diameter (m), mean inclination angle (°), Total length of pipeline (m), and count the number and type of local components such as elbows, valves, and reducers.

[0029] In one specific embodiment, step S101 includes any one of the following features (1) to (3): (1) obtaining the static yield stress measured after the paste filling slurry has been left to stand for a preset time; (2) obtaining the dynamic yield stress and the starting additional stress increment of the paste filling slurry, and obtaining the static yield stress based on the dynamic yield stress and the starting additional stress increment; (3) obtaining the minimum inlet pressure required for the paste filling slurry to start flowing after being left to stand for a preset time, and calculating the static yield stress based on the minimum inlet pressure and the pipeline parameters.

[0030] In this embodiment, when the static yield stress can be directly measured, the prepared paste-like filling slurry is left to stand for a preset time (usually 1 min to 3 h) under simulated on-site shutdown conditions. Subsequently, a rotational rheometer is used to perform stress growth tests or oscillation time scans to measure the yield point, thereby obtaining its static yield stress. (Unit: Pa); The slurry density can also be measured simultaneously. (Unit: kg / m³)

[0031] If direct measurement is not possible The dynamic yield stress of the paste filling slurry is then used. And superimposed additional stress increment ,Right now = + .

[0032] In addition, pressure can be reversed via pipeline initiation. Specifically, in the test section or pilot project, the minimum inlet pressure required to initiate flow of the stationary paste-filled slurry is measured. The equivalent static yield stress was calculated by combining the pipeline parameters. : , The first in the gravity flow pipeline Additional starting head loss caused by a local component This represents the number of local components in a gravity-flow piping system. This value can be directly used for subsequent design calculations and is suitable for field scenarios lacking laboratory equipment.

[0033] Understandably, by ensuring that the input parameters truly reflect the most unfavorable start-up conditions on site, the physical authenticity of the core criteria is guaranteed, preventing others from circumventing the rules using dynamic parameters.

[0034] Step S102: Based on the friction loss mechanism of the paste slurry under the extreme flow rate start-up state, and according to the static yield stress and the pipeline parameters, construct the critical self-flow equilibrium equation based on the static yield stress.

[0035] In this embodiment, the friction loss mechanism of the paste slurry under the extreme flow rate start-up state can be understood as follows: when the flow rate approaches zero ( v Under the starting limit state of →0), the friction loss of the paste slurry is mainly dominated by the static yield stress. Under this mechanism, a critical self-flow equilibrium equation based on the static yield stress is constructed according to the static yield stress and pipeline parameters to characterize the balance relationship between the gravity-driven pressure head and the static yield resistance.

[0036] It should be noted that the expression for the critical gravity equilibrium equation can be: In the formula, This is the acceleration due to gravity.

[0037] The components include multiple elbows and valves. This is to address the additional starting head loss. For example, the additional starting head loss for each 90° bend. Pick , This is an empirical parameter, and its value can range from 0.1 to 0.3; alternatively, a database of local starting pressure drops for typical pipe fittings under different pipe diameters can be established, and the values ​​can be directly obtained from the local starting pressure drop database based on the actual selection of each local component. Values ​​that do not rely on empirical coefficients .

[0038] It should be noted that in the delivery of high-concentration pastes, a low-shear slip layer may exist near the tube wall, which can be addressed by... Add a slip correction item on the right side However, the core criterion remains static yield stress.

[0039] Furthermore, instead of calculating the additional starting head loss for each elbow and valve separately, all local components can be uniformly converted into an equivalent straight pipe length. For example, each 90° bend effectively increases ( (Typically, it's taken as 30-50). The total conveying length becomes... Then the expression for the critical self-flow equilibrium equation can also be: This method simplifies the calculation process and is suitable for working conditions where the local component type is simple or the number is small.

[0040] Understandably, to address the phenomenon of structural bottlenecks forming at elbows, valves, etc., under low flow rates, an equivalent additional pressure drop based on the static yield stress (such as...) is used. Alternatively, the equivalent straight pipe length method can be used to reasonably account for the weakening effect of local resistance on gravity flow capacity, thus solving the problem of seriously overestimating the gravity flow distance in complex pipelines in existing technologies.

[0041] Step S103: Calculate the maximum self-flow length of the paste filling slurry according to the critical self-flow equilibrium equation.

[0042] In this embodiment, ignoring the additional starting head loss of local components (or converting it to an equivalent straight pipe length), the maximum self-flow length of the paste-filled slurry is obtained by solving the critical self-flow equilibrium equation. The maximum self-flow length is... The calculation formula is: .

[0043] Step S104: Calculate the maximum horizontal gravity transport distance of the paste filling slurry based on the pipeline parameters and the maximum gravity flow length.

[0044] In this embodiment, considering the additional starting head loss of local components, the maximum gravity flow length is reduced through iteration or simplification. The corrected length is obtained. Furthermore, the length will be corrected. Projecting the paste filling slurry horizontally yields the maximum horizontal gravity transport distance. .

[0045] In one specific embodiment, step S104 includes: obtaining the cosine value of the average inclination angle in the pipeline parameters; and obtaining the maximum horizontal gravity flow transport distance based on the cosine value and the maximum gravity flow length.

[0046] In this embodiment, the maximum horizontal gravity conveying distance The calculation formula is: Mine roadway design drawings are based on horizontal projected distance (not inclined length). The correction value of the maximum inclined gravity flow length is mapped to the horizontal distance by using the cosine value of the average dip angle, so that the calculation results can be directly embedded into the CAD design system or roadway construction drawings, eliminating engineering translation errors.

[0047] Step S105: Correct the maximum horizontal gravity conveying distance based on the engineering safety correction factor to obtain the design conveying horizontal distance of the paste filling slurry.

[0048] In this embodiment, to cover factors such as batch fluctuations in slurry, temperature changes, and pipe wall aging, an engineering safety correction factor is used to correct the maximum horizontal gravity flow conveying distance, thereby obtaining the design conveying horizontal distance of the paste filling slurry.

[0049] Exemplary engineering safety correction factors include safety factors. Temperature correction factor and pipe wall roughness factor Designed to transport horizontal distance The calculation formula is: Among them, the safety factor The value range can be 0.85~0.95, temperature correction factor. The wall roughness factor of high-density polyethylene is obtained based on the Arrhenius relation or measured data. It can be 0.98, the roughness factor of the new steel pipe wall. The roughness factor of the corroded pipe wall can be 0.95. It can be 0.85, but this embodiment does not limit it.

[0050] Understandably, by systematically considering actual interference factors such as batch fluctuations in slurry, changes in ambient temperature, and pipe aging, the calculation results are transformed from ideal limits into reliable design values, significantly improving the method's applicability and safety in the field.

[0051] Furthermore, it is not necessary to introduce a separate safety factor. Temperature factor and roughness factor Instead, it combines them into a single comprehensive environmental correction coefficient. (Value range: 0.75–0.95), i.e., the designed horizontal conveying distance. The calculation formula is: It is suitable for complex mining environments where parameters are highly coupled and difficult to quantify independently.

[0052] Please see Figure 2 In one specific embodiment, after step S105, steps S201 to S202 are included. Each step will be described in detail below.

[0053] Step S201: Determine whether the actual horizontal conveying distance of the paste filling slurry is less than or equal to the designed horizontal conveying distance.

[0054] In this embodiment, it is determined whether the actual horizontal conveying distance of the paste filling slurry is less than or equal to the designed horizontal conveying distance, thereby determining whether the current paste filling slurry can achieve reliable self-flow.

[0055] Step S202: If not, adjust the self-flowing parameters corresponding to the paste filling slurry.

[0056] In this embodiment, if the actual horizontal transport distance of the paste filling slurry is greater than the designed horizontal transport distance, the current paste filling slurry cannot achieve reliable gravity flow, and the gravity flow parameters corresponding to the paste filling slurry need to be adjusted, including adding a pump station or optimizing the pipeline slope; if the actual horizontal transport distance of the paste filling slurry is less than or equal to the designed horizontal transport distance, the current paste filling slurry can achieve reliable gravity flow.

[0057] It should be noted that in the total length of the pipeline Given the given conditions, the minimum topographic elevation difference required to maintain gravity flow can be obtained. : It is suitable for design scenarios where the tunnel development has been determined and the elevation difference needs to be checked in reverse.

[0058] As an example, the paste filling slurry was allowed to stand for 30 minutes before measurement. =92.00 Pa, =1880 kg / m 3 And obtain the pipeline height difference H =484 m, pipe inner diameter D =0.15 m, average inclination angle θ =7°.

[0059] Furthermore, the gravity flow pipeline contains 23 90° bends, taking... k b =0.2, then =23×0.2×92.00Pa=423.20 Pa.

[0060] Furthermore, ignoring the initial calculation of local losses: ≈3638.44 m; Furthermore, considering local losses including those at elbows, assuming an equivalent reduction of 5%, we get... ≈3456.52 m; Furthermore, the maximum horizontal gravity conveying distance =3456.52×cos7°≈3430.76 m.

[0061] Furthermore, take k s =0.9, k T =1.0, k r =0.98, designed horizontal conveying distance ≈3025.93 m.

[0062] It should be noted that this embodiment has been verified in multiple mines, and the calculation error fluctuation is less than or equal to ±8%, which is significantly better than the traditional method by more than ±30%. It can also provide a complete closed-loop process from laboratory testing to on-site design and can be directly embedded into the intelligent scheduling platform of the filling system.

[0063] The method for determining the gravity flow transport distance of paste filling slurry proposed in this embodiment obtains the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline; based on the friction loss mechanism of the paste slurry under the ultimate flow velocity start-up state, a critical gravity flow equilibrium equation is constructed based on the static yield stress and the pipeline parameters; the maximum gravity flow length of the paste filling slurry is calculated based on the critical gravity flow equilibrium equation; the maximum horizontal gravity flow transport distance of the paste filling slurry is calculated based on the pipeline parameters and the maximum gravity flow length; the maximum horizontal gravity flow transport distance is corrected based on an engineering safety correction factor to obtain the design transport horizontal distance of the paste filling slurry. In this way, by taking static yield stress as the core criterion, a critical equilibrium equation between gravity-driven pressure head and yield resistance is established under the starting limit state where the flow velocity approaches zero. This allows for the calculation of the maximum horizontal distance that high-concentration paste filling slurry can achieve stable gravity-flow transportation under gravity. Furthermore, by using an engineering safety correction factor, the theoretical value is converted into a practically reliable horizontal transportation distance, significantly improving the prediction accuracy and effectively avoiding the problem of theoretical feasibility but actual pipe blockage. This method is suitable for the scientific planning and intelligent scheduling of paste filling systems in underground mines such as metal mines.

[0064] Example 2 Furthermore, this disclosure provides a device 300 for determining the distance of gravity-flow conveying of paste filling slurry; please refer to [link to relevant documentation]. Figure 3 The device includes: The acquisition module 301 is used to acquire the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline. Module 302 is used to construct the friction loss mechanism of paste slurry under the extreme flow rate start-up state, and to construct the critical self-flow equilibrium equation based on the static yield stress and the pipeline parameters. Solver module 303 is used to calculate the maximum self-flow length of the paste filling slurry based on the critical self-flow equilibrium equation; Calculation module 304 is used to calculate the maximum horizontal gravity conveying distance of the paste filling slurry based on the pipeline parameters and the maximum gravity flow length; The correction module 305 is used to correct the maximum horizontal gravity conveying distance based on the engineering safety correction factor to obtain the design conveying horizontal distance of the paste filling slurry.

[0065] In one embodiment, the expression for the critical self-flow equilibrium equation is: In the formula, The density of the filling slurry in the paste, It is the acceleration due to gravity. The total elevation difference in the pipeline parameters is the total elevation difference in the pipeline. The static yield stress, The inner diameter of the pipe in the pipeline parameters is... The total length of the pipeline in the pipeline parameters is... The first in the gravity flow pipeline Additional starting head loss caused by a local component The number of local components in the gravity flow pipeline.

[0066] In one embodiment, the expression for the critical self-flow equilibrium equation is: In the formula, The density of the filling slurry in the paste, It is the acceleration due to gravity. The total elevation difference in the pipeline parameters is the total elevation difference in the pipeline. The static yield stress, The inner diameter of the pipe in the pipeline parameters is... The total length of the pipeline in the pipeline parameters is... The equivalent straight pipe length of the local component in the gravity flow pipeline.

[0067] In one embodiment, the formula for calculating the maximum gravity flow length is: In the formula, The maximum self-flow length is given.

[0068] In one embodiment, the calculation module 304 is further configured to obtain the cosine value of the average inclination angle in the pipeline parameters; and to obtain the maximum horizontal gravity flow transport distance based on the cosine value and the maximum gravity flow length.

[0069] In one embodiment, the device further includes a judgment module for judging whether the actual horizontal conveying distance of the paste filling slurry is less than or equal to the designed horizontal conveying distance; if not, the gravity flow parameter corresponding to the paste filling slurry is adjusted.

[0070] In one embodiment, the acquisition module 301 is further configured to perform any one of the following features (1) to (3): (1) acquire the static yield stress measured after the paste filling slurry has been left to stand for a preset time; (2) acquire the dynamic yield stress and the starting additional stress increment of the paste filling slurry, and obtain the static yield stress based on the dynamic yield stress and the starting additional stress increment; (3) acquire the minimum inlet pressure required for the paste filling slurry to start flowing after being left to stand for a preset time, and calculate the static yield stress based on the minimum inlet pressure and the pipeline parameters.

[0071] The apparatus provided in this embodiment can perform the steps of the method for determining the gravity conveying distance of paste filling slurry provided in Embodiment 1. To avoid repetition, the steps will not be repeated.

[0072] The device for determining the gravity flow distance of paste filling slurry proposed in this embodiment obtains the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline; based on the friction loss mechanism of the paste slurry under the ultimate flow velocity start-up state, a critical gravity flow equilibrium equation is constructed based on the static yield stress and the pipeline parameters; the maximum gravity flow length of the paste filling slurry is calculated based on the critical gravity flow equilibrium equation; the maximum horizontal gravity flow distance of the paste filling slurry is calculated based on the pipeline parameters and the maximum gravity flow length; and the maximum horizontal gravity flow distance is corrected based on an engineering safety correction factor to obtain the design horizontal flow distance of the paste filling slurry. In this way, by taking static yield stress as the core criterion, a critical equilibrium equation between gravity-driven pressure head and yield resistance is established under the starting limit state where the flow velocity approaches zero. This allows for the calculation of the maximum horizontal distance that high-concentration paste filling slurry can achieve stable gravity-flow transportation under gravity. Furthermore, by using an engineering safety correction factor, the theoretical value is converted into a practically reliable horizontal transportation distance, significantly improving the prediction accuracy and effectively avoiding the problem of theoretical feasibility but actual pipe blockage. This method is suitable for the scientific planning and intelligent scheduling of paste filling systems in underground mines such as metal mines.

[0073] Example 3 Furthermore, this disclosure provides a computer device including a memory and a processor. The memory stores a computer program, which, when executed by the processor, implements the method for determining the gravity-flow conveying distance of paste filling slurry as described in Embodiment 1.

[0074] The device provided in this embodiment can perform the steps of the method for determining the self-flowing conveying distance of paste filling slurry provided in Embodiment 1. To avoid repetition, the steps will not be repeated.

[0075] Example 4 This disclosure provides a computer-readable storage medium storing a computer program that, when executed by a processor, implements the method for determining the self-flowing conveying distance of paste filling slurry as described in Embodiment 1.

[0076] In this embodiment, the computer-readable storage medium may be a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk, etc.

[0077] The computer-readable storage medium provided in this embodiment can implement the method for determining the gravity flow conveying distance of paste filling slurry provided in Embodiment 1. To avoid repetition, it will not be described again here.

[0078] In all examples shown and described herein, any specific values ​​should be interpreted as merely exemplary and not as limitations; therefore, other examples of exemplary embodiments may have different values.

[0079] It should be noted that similar labels and letters in the following figures indicate similar items. Therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures.

[0080] The above-described embodiments are merely illustrative of several implementations of the present invention, and while the descriptions are specific and detailed, they should not be construed as limiting the scope of the invention. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of the present invention, and these modifications and improvements all fall within the scope of protection of the present invention.

Claims

1. A method for determining the gravity-flow conveying distance of paste filling slurry, characterized in that, include: Obtain the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline; Based on the friction loss mechanism of paste slurry under the ultimate flow velocity start-up state, a critical self-flow equilibrium equation based on the static yield stress is constructed according to the static yield stress and the pipeline parameters. The maximum self-flow length of the paste filling slurry is calculated based on the critical self-flow equilibrium equation. Calculate the maximum horizontal gravity transport distance of the paste filling slurry based on the pipeline parameters and the maximum gravity flow length; The maximum horizontal gravity conveying distance is corrected based on the engineering safety correction factor to obtain the design horizontal conveying distance of the paste filling slurry.

2. The method for determining the gravity-flow conveying distance of paste filling slurry according to claim 1, characterized in that, The expression for the critical gravity equilibrium equation is: In the formula, The density of the filling slurry in the paste, It is the acceleration due to gravity. The total elevation difference in the pipeline parameters is the total elevation difference in the pipeline. The static yield stress, The inner diameter of the pipe in the pipeline parameters is... The total length of the pipeline in the pipeline parameters is... The first in the gravity flow pipeline Additional starting head loss caused by a local component The number of local components in the gravity flow pipeline.

3. The method for determining the gravity-flow conveying distance of paste filling slurry according to claim 1, characterized in that, The expression for the critical gravity equilibrium equation is: In the formula, The density of the filling slurry in the paste, It is the acceleration due to gravity. The total elevation difference in the pipeline parameters is the total elevation difference in the pipeline. The static yield stress, The inner diameter of the pipe in the pipeline parameters is... The total length of the pipeline in the pipeline parameters is... The equivalent straight pipe length of the local component in the gravity flow pipeline.

4. The method for determining the gravity-flow conveying distance of paste filling slurry according to claim 2 or 3, characterized in that, The formula for calculating the maximum gravity flow length is: In the formula, The maximum self-flow length is given.

5. The method for determining the gravity-flow conveying distance of paste filling slurry according to claim 1, characterized in that, The calculation of the maximum horizontal gravity-flow conveying distance of the paste filling slurry based on the pipeline parameters and the maximum gravity-flow length includes: Obtain the cosine value of the average inclination angle in the pipeline parameters; The maximum horizontal gravity conveying distance is obtained based on the cosine value and the maximum gravity flow length.

6. The method for determining the gravity-flow conveying distance of paste filling slurry according to claim 1, characterized in that, After correcting the maximum horizontal gravity conveying distance based on the engineering safety correction factor to obtain the design conveying horizontal distance of the paste filling slurry, the process includes: Determine whether the actual horizontal conveying distance of the paste filling slurry is less than or equal to the designed horizontal conveying distance; If not, adjust the self-flow parameters corresponding to the paste filling slurry.

7. The method for determining the gravity-flow conveying distance of paste filling slurry according to claim 1, characterized in that, The method for obtaining the static yield stress of the paste filling slurry includes any one of the following characteristics (1) to (3): (1) Obtain the static yield stress of the paste filling slurry after it has been left to stand for a preset time; (2) Obtain the dynamic yield stress and the increment of the starting additional stress of the paste filling slurry, and obtain the static yield stress based on the dynamic yield stress and the increment of the starting additional stress; (3) Obtain the minimum inlet pressure required for the paste filling slurry to start flowing after a preset standing time, and calculate the static yield stress based on the minimum inlet pressure and the pipeline parameters.

8. A device for determining the distance of gravity-flow conveying of paste filling slurry, characterized in that, include: The acquisition module is used to acquire the static yield stress of the paste filling slurry and the pipeline parameters of the gravity flow pipeline. A construction module is used to construct the friction loss mechanism of paste slurry under the extreme flow rate start-up state, and to construct the critical self-flow equilibrium equation based on the static yield stress and the pipeline parameters. The solution module is used to calculate the maximum self-flow length of the paste filling slurry based on the critical self-flow equilibrium equation. The calculation module is used to calculate the maximum horizontal gravity flow transport distance of the paste filling slurry based on the pipeline parameters and the maximum gravity flow length. The correction module is used to correct the maximum horizontal gravity conveying distance based on the engineering safety correction factor, so as to obtain the design conveying horizontal distance of the paste filling slurry.

9. A computer device, characterized in that, It includes a memory and a processor, the memory storing a computer program that, when executed by the processor, implements the method for determining the gravity-flow conveying distance of paste filling slurry as described in any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that, It stores a computer program that, when executed by a processor, implements the method for determining the self-flowing conveying distance of paste filling slurry as described in any one of claims 1 to 7.

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