CN117787145A - Column hemisphere infiltration grouting range determining method based on Binghan slurry dead weight and angle - Google Patents
Column hemisphere infiltration grouting range determining method based on Binghan slurry dead weight and angle Download PDFInfo
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Abstract
The invention relates to the technical field of environmental protection and ecological restoration, in particular to a method for determining a column hemisphere infiltration grouting range based on the dead weight and angle of Bingham slurry. The method for determining the osmotic grouting range provided by the invention comprises the following steps: acquiring first data of a porous medium to be grouting; acquiring second data of the grouting points; acquiring third data of Bingham cement slurry to be injected with the porous medium; setting grouting engineering parameters; constructing a hemispherical osmotic grouting range determination model of the column; and combining the first data, the second data and the third data by utilizing the column hemispherical infiltration grouting range determining model to obtain quantitative indexes of the column hemispherical infiltration grouting space diffusion range of the porous medium in grouting engineering based on grouting engineering parameters. The invention comprehensively considers the influence of the dead weight of the Bingham slurry and the laying angle of the grouting pipe on the diffusion form of the column hemispherical osmotic grouting space of the porous medium, and can accurately determine the diffusion range of the column hemispherical osmotic grouting of the Bingham slurry in the porous medium.
Description
Technical Field
The invention relates to the technical field of environmental protection and ecological restoration, in particular to a method for determining a column hemisphere infiltration grouting range based on the dead weight and angle of Bingham slurry.
Background
The osmotic grouting diffusion form of grouting slurry in a porous medium can be represented by the following 3 types: 1) When grouting is performed on the end part of the grouting pipe (namely point grouting), the diffusion form of grouting slurry in the porous loose medium is spherical; 2) When grouting is not segmented (a grouting pipe passes through an aquifer to reach a bottom impermeable layer), namely grouting is segmented through complete holes or from bottom to top, the diffusion form of grouting slurry in a porous loose medium is cylindrical; 3) When the slurry is injected into incomplete holes or from top to bottom in a segmented manner, the diffusion form of the slurry in the porous loose medium is represented as column-hemispherical. Meanwhile, grouting slurry can be divided into Newtonian fluid, bingham fluid and power law fluid according to different rheological equations. The osmotic grouting of different diffusion forms of grouting slurry of different fluid types in the porous medium has significantly different osmotic diffusion forms and diffusion effects, and further shows different osmotic grouting diffusion mechanisms; grouting slurries of different fluid types therefore have different methods of determining the spatial extent of osmotic grouting.
At present, good research results are obtained in the field of permeation grouting mechanism of Bingham slurry in a porous medium. The method comprises the steps of obtaining yield stress and plastic viscosity in a Bingham fluid constitutive equation through a Bingham fluid rheological curve, and obtaining a Bingham cement slurry rheological equation with different water-cement ratios; according to the tortuosity of the Bingham cement slurry in the rock-soil body flow path and the Bingham cement slurry rheological equation, deducing a seepage motion equation of Bingham fluid considering the tortuosity of the porous medium; and deducing a Bingham cement slurry liquid permeation grouting diffusion radius calculation formula considering the influence of the tortuosity of the porous loose medium according to the initial grouting condition and the boundary condition. The technology researches the effect of the tortuosity of the porous loose medium on the cylindrical osmotic grouting diffusion form of the Bingham cement slurry, and explores the cylindrical osmotic grouting space diffusion form of the porous medium by considering the comprehensive influence of the self weight of the Bingham slurry and the paving angle of a grouting pipe. Although the two are both research objects by taking the cylindrical osmotic grouting diffusion mode of the Bingham slurry in the porous medium, the influence factors considered by the two are completely different, so that the two have different osmotic grouting spatial diffusion morphological effects.
For another example, the patent publication number is CN115618643A, and the Chinese invention patent is named as a method for determining the hemispherical penetration radius of a tortuosity column of a water effect rock-soil body during Bingham slurry. The technology provides a method for determining the column-hemispherical penetrating grouting diffusion form by taking the cement slurry of the Bingham fluid type into consideration of the comprehensive influence of the cement slurry water-cement ratio, time-varying property and rock-soil body tortuosity of the Bingham fluid type as a research object; the invention aims at determining how to find out the porous medium cylindrical permeable grouting space diffusion form which considers the comprehensive influence of the weight of the Bingham slurry and the laying angle of the grouting pipe. Although the two are both studied by taking Bingham slurry as a study object, the osmotic grouting diffusion forms of the Bingham slurry in a rock-soil body are different, and the influence factors considered by the two are completely different, so that the two have different osmotic grouting space diffusion form effects.
For another example, the patent publication number is CN113310847a, and the name is "a method for calculating rheological parameters of bingham cement slurry by considering the coupling effect of time and water cement ratio". The invention only provides a method for calculating rheological parameters of the Bingham cement slurry by considering the coupling effect of time and water-cement ratio, but does not provide a method for determining the seepage grouting diffusion form of the Bingham cement slurry in a rock-soil body; the invention aims at determining how to find out the porous medium cylindrical permeable grouting space diffusion form which considers the comprehensive influence of the weight of the Bingham slurry and the laying angle of the grouting pipe.
According to engineering practice and theoretical research, the method shows that: the gravity of the Bingham slurry and the laying angle of the grouting pipe have very important influence on the permeation diffusion process and the grouting diffusion morphological effect. However, by analyzing the related documents and patents at home and abroad, it is known that: the related results of the hemispherical osmotic grouting mechanism of the porous medium column, which consider the comprehensive influence of the dead weight of the Bingham slurry and the paving angle of the grouting pipe, are not published. Therefore, the current osmotic grouting theory is difficult to meet the requirement of grouting engineering practice, and the hemispherical osmotic grouting space diffusion form of the porous medium column considering the comprehensive influence of the weight of Bingham slurry and the paving angle of a grouting pipe cannot be reasonably and effectively determined. Therefore, a method for determining the hemispherical osmotic grouting space diffusion range of the porous medium column and a visual simulation system which are more in line with the practice of grouting engineering and consider the comprehensive influence of the dead weight of Bingham slurry and the paving angle of a grouting pipe are needed.
Disclosure of Invention
Aiming at the defects of the current osmotic grouting theory and the technical problems faced in the actual grouting engineering, the invention provides a method, a device, a system and a storage medium for determining the hemispherical osmotic grouting range of a column based on the dead weight and the angle of Bingham slurry, which aim to comprehensively consider the influence of the dead weight of Bingham slurry and the laying angle of a grouting pipe on the hemispherical osmotic grouting space diffusion form of a porous medium column so as to accurately determine the hemispherical osmotic grouting diffusion range of the column of Bingham slurry in the porous medium.
In a first aspect, the invention provides a method for determining a column hemisphere penetrating grouting range based on the dead weight and the angle of Bingham slurry, which comprises the following steps: acquiring first data of a porous medium to be grouting, wherein the first data comprise the porosity of the porous medium and the permeability coefficient of the porous medium; acquiring second data of the grouting point, wherein the second data comprises groundwater pressure at the grouting point; obtaining third data of the Bingham cement slurry to be injected into the porous medium, wherein the third data comprises yield stress of the Bingham cement slurry, plastic viscosity of the Bingham cement slurry, density of the Bingham cement slurry and viscosity of water in the Bingham cement slurry; setting grouting engineering parameters, wherein the grouting engineering parameters comprise grouting pressure, grouting time, the number of grouting holes on the side surface of a grouting pipe, grouting radius and paving angle of the grouting pipe; constructing a column hemispherical infiltration grouting range determination model, wherein the column hemispherical infiltration grouting range determination model meets the following formula:
，
wherein->First quantization index representing column hemispherical osmotic grouting space diffusion range, < >>Second quantitative index representing the diffusion range of the hemispherical osmotic grouting space of the column, < > >Represents grouting pressure, ++>Represents the groundwater pressure at the grouting point, +.>Indicates the number of grouting holes on the side surface of the grouting pipe, < + >>Representing the plastic viscosity of Bingham cement slurry, +.>Representing the porosity of the pore medium, +.>Represents the density of water>Indicating the acceleration of gravity>Represents the permeability coefficient of the porous medium, < >>Indicating the viscosity of water in Bingham cement slurry, </i >>Representing the yield stress of Bingham cement slurry, +.>Indicates grouting time, < > and->Represents grouting radius>Representing the density of the bingham cement slurry,,/>representing the included angle between the diffusion direction of the Binhan cement slurry and the grouting pipe, and>representing the laying angle of the grouting pipe; and combining the first data, the second data and the third data by using the column hemispherical infiltration grouting range determination model to obtain column hemispherical infiltration grouting space diffusion range quantization indexes of the porous medium in grouting engineering based on grouting engineering parameters.
The method for determining the column hemispherical osmotic grouting range based on the weight and the angle of the Bingham slurry can reflect the form of the column hemispherical osmotic grouting diffusion range of the Bingham slurry in a rock-soil body, so that the obtained column hemispherical osmotic grouting space diffusion range of the Bingham slurry is more consistent with grouting engineering practice, and can provide theoretical support for the osmotic grouting practice engineering of the rock-soil body.
Optionally, the method for determining the column hemisphere penetrating grouting range based on the dead weight and the angle of the Bingham slurry provided by the invention further comprises the following steps: and visualizing quantitative indexes of the diffusion range of the hemispherical column penetrating grouting space of the porous medium in the grouting engineering based on the grouting engineering parameters.
Further optionally, the visualizing the quantitative index of the diffusion range of the hemispherical column penetrating grouting space of the porous medium under the grouting engineering based on the grouting engineering parameters comprises the following steps: depending on a COMSOL Multiphysics platform, the quantitative index of the diffusion range of the hemispherical column osmotic grouting space of the porous medium under the grouting engineering based on the grouting engineering parameters is visualized.
Optionally, the acquiring the first data of the porous medium to be grouting includes the following steps: acquiring material characteristic parameters of a porous medium to be grouting, wherein the material characteristic parameters comprise the specific gravity of the porous medium, the mass water content of the porous medium and the density of the porous medium; and constructing a porosity characterization model of the porous medium, and combining the material characteristic parameters by utilizing the porosity characterization model to obtain the porosity of the porous medium.
Further optionally, the porosity characterization model satisfies the following formula:
wherein->Representing the specific gravity of the porous medium, < > and->Represents the density of pure distilled water at 4℃, [ about ]>Represents the mass water content of the porous medium, < > and->Representing the density of the porous medium.
Optionally, obtaining third data of the bingham cement slurry to be injected into the porous medium, comprising the steps of: and obtaining a rheological equation of the Bingham cement slurry, and obtaining the third data through the rheological equation of the Bingham cement slurry.
Further alternatively, in the method for determining the column hemisphere penetrating grouting range based on the dead weight and the angle of the Bingham slurry, the water-cement ratio of the Bingham slurry is in the range of 0.75 to 1.25.
In a second aspect, the invention further provides a column hemisphere penetrating grouting range determining device based on the weight and the angle of the bingham slurry, which specifically comprises a first data acquisition module, a second data acquisition module and a third data acquisition module; the first data acquisition module is used for acquiring the first data according to the first aspect of the invention; the second data acquisition module is used for acquiring second data according to the first aspect of the invention; the third data acquisition module is used for acquiring third data according to the first aspect of the invention.
The column hemisphere infiltration grouting range determining device based on the weight and the angle of the Bingham slurry provided by the invention collects and integrates different types of data under the combined action of the plurality of data collecting modules, and provides accurate input for determination of infiltration grouting range based on grouting engineering parameters. The column hemisphere permeation grouting range determining device based on the weight and the angle of the Bingham slurry is suitable for porous medium grouting engineering, and provides an overall and reliable tool for engineers so as to optimize grouting design and improve stability and efficiency of the engineering.
In a third aspect, the invention also provides a column hemisphere infiltration grouting range determining system based on the weight and the angle of the Bingham slurry, which comprises a data input module, a data acquisition module, a data analysis module and a data output module; the data input module is used for inputting and collecting grouting engineering parameters according to the first aspect of the invention, the data collecting module is used for collecting first data, second data and third data according to the first aspect of the invention, the data analyzing module is used for constructing the column hemispherical infiltration grouting range determining model, and the column hemispherical infiltration grouting range determining model is used for combining the data input by the data input module and the data collecting module to obtain and collect column hemispherical infiltration grouting space diffusion range quantization indexes according to the first aspect of the invention; and the data output module is used for outputting quantitative indexes of the diffusion range of the hemispherical grouting space of the column.
The column hemisphere penetrating grouting range determining system based on the weight and the angle of the Bingham slurry provided by the invention is characterized in that data input by a data input module and data acquired by a data acquisition module are transmitted to a data analysis module through signal connection, the data analysis module executes program instructions, and the quantization index of the porous medium column hemisphere penetrating grouting space diffusion range is calculated and determined by using the column hemisphere penetrating grouting range determining method based on the weight and the angle of the Bingham slurry. The column hemisphere infiltration grouting range determining system based on the weight and the angle of the Bingham slurry provided by the invention provides a comprehensive and automatic tool for grouting engineering, can accurately and efficiently determine the grouting range, and is beneficial to optimizing engineering design and improving engineering execution effect.
In a fourth aspect, the present invention further provides a computer readable storage medium, where the computer readable storage medium stores program instructions capable of being executed by a processor, where the program instructions are configured to implement the method for determining a column hemisphere grouting range based on the dead weight and the angle of bingham slurry according to the first aspect of the present invention.
Through the computer readable storage medium provided by the invention, a user can easily operate the method for determining the osmotic grouting range on a computer, so that the accurate and efficient calculation and quantification of the hemispherical osmotic grouting space diffusion range of the porous medium column of grouting engineering parameters are realized. This helps to improve the scientificity and feasibility of engineering design, and ensures the smooth implementation of grouting engineering.
Drawings
FIG. 1 is a first flow chart of a method for determining the range of column hemisphere infiltration grouting based on the dead weight and angle of Bingham slurry according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a hemispherical osmotic grouting diffusion form of a porous medium column, which considers the comprehensive influence of the weight of Bingham slurry and the laying angle of a grouting pipe;
FIG. 3 is a schematic illustration of fluid forces taking into account the combined effects of the weight of the Bingham slurry and the angle of the grouting pipe lay;
FIG. 4 is a second flow chart of a method for determining the range of column hemisphere infiltration grouting based on the dead weight and angle of Bingham slurry according to an embodiment of the present invention;
FIG. 5 is a schematic block diagram of a device for determining the range of grouting by column hemisphere infiltration based on the dead weight and angle of Bingham slurry according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of a system for determining the range of grouting by column hemisphere infiltration based on the dead weight and angle of Bingham slurry according to an embodiment of the present invention;
FIG. 7 is a first simulation of the spatial diffusion range of hemispherical osmotic grouting of a porous medium column taking into account the comprehensive influence of the weight of Bingham slurry and the laying angle of a grouting pipe;
FIG. 8 is a second simulation diagram of the hemispherical osmotic grouting spatial diffusion range of the porous medium column taking into consideration the comprehensive influence of the weight of the Bingham slurry and the laying angle of the grouting pipe;
FIG. 9 is a simulation diagram of the hemispherical osmotic grouting space diffusion range of a porous medium column without considering the comprehensive influence of the weight of Bingham slurry and the laying angle of a grouting pipe;
fig. 10 is an experimental graph of the diffusion range of the hemispherical osmotic grouting space of the porous medium column obtained based on the parameters in the embodiment of the invention.
Detailed Description
Specific embodiments of the invention will be described in detail below, it being noted that the embodiments described herein are for illustration only and are not intended to limit the invention. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention. However, it will be apparent to one of ordinary skill in the art that: no such specific details are necessary to practice the invention. In other instances, well-known circuits, software, or methods have not been described in detail in order not to obscure the invention.
Throughout the specification, references to "one embodiment," "an embodiment," "one example," or "an example" mean: a particular feature, structure, or characteristic described in connection with the embodiment or example is included within at least one embodiment of the invention. Thus, the appearances of the phrases "in one embodiment," "in an embodiment," "one example," or "an example" in various places throughout this specification are not necessarily all referring to the same embodiment or example. Furthermore, the particular features, structures, or characteristics may be combined in any suitable combination and/or sub-combination in one or more embodiments or examples. Moreover, those of ordinary skill in the art will appreciate that the illustrations provided herein are for illustrative purposes and that the illustrations are not necessarily drawn to scale.
In one embodiment, referring to fig. 1, fig. 1 is a first flowchart of a method for determining a range of grouting for hemispherical pillars based on the gravity and the angle of the bingham slurry according to an embodiment of the present invention. As shown in FIG. 1, the method for determining the column hemisphere penetrating grouting range based on the dead weight and the angle of the Bingham slurry provided by the invention comprises the following steps:
s01, acquiring first data of a porous medium to be grouting, wherein the first data comprise the porosity of the porous medium and the permeability coefficient of the porous medium.
Further, the first data of the porous medium may be obtained by a rock-soil body test. The rock-soil body test is a series of tests for studying and evaluating the properties of soil and rock, which are intended to understand the engineering properties of the rock-soil body under different conditions, such as rock-soil mechanics test, rock-soil penetration test, rock-soil liquid property test, soil compression test, soil moisture content test and soil particle analysis test. The choice of specific test procedures and modes depends on the specific engineering requirements and research objectives.
The porosity of the porous medium refers to the ratio of the volume of the voids within the porous medium to the total volume. In one or some embodiments, the step S01 of obtaining the porosity of the porous medium to be grouting includes the following steps:
And S011, acquiring material characteristic parameters of the porous medium to be grouting, wherein the material characteristic parameters comprise the specific gravity of the porous medium, the mass water content of the porous medium and the density of the porous medium.
In the present embodiment, the material characteristic parameters of the porous medium can be obtained by the above-mentioned rock-soil body test, for example, by the irrigation method, the sand irrigation method or the ring-cutting methodObtaining the density of the porous mediumThe method comprises the steps of carrying out a first treatment on the surface of the Obtaining the mass water content of the porous medium by using a drying method>The method comprises the steps of carrying out a first treatment on the surface of the Obtaining specific gravity of porous medium by combining pycnometer method with siphon method>。
S012, constructing a porosity characterization model of the porous medium, and combining the material characteristic parameters by utilizing the porosity characterization model to obtain the porosity of the porous medium.
In this embodiment, the porosity characterization model satisfies the following formula:
wherein->Represents the porosity of the porous medium, +.>Representing the specific gravity of the porous medium, < > and->Represents the density of pure distilled water at 4℃, [ about ]>Represents the mass water content of the porous medium, < > and->Representing the density of the porous medium.
Further, the porosity of the porous mediumIs a dimensionless number; specific gravity of porous Medium->Is also a dimensionless number; pure distilled water Density at 4- >In kg/m 3 The method comprises the steps of carrying out a first treatment on the surface of the Typically 1000kg/m 3 The method comprises the steps of carrying out a first treatment on the surface of the The mass water content of the porous medium means that the ratio of the mass of water in the porous medium to the total mass is percent (%), the density of the porous medium +.>In kg/m 3 。
Permeability coefficientIs a physical quantity used to describe the ability of a rock-soil body to penetrate a fluid (typically water) and measures the ability of the fluid in a porous medium to pass through a unit area in m/s per unit time. In one or some embodiments, the permeability coefficient of the porous media may be obtained by a water injection test. Further, the water injection test may be performed in a laboratory or in the field. In order to reflect the permeability of the porous medium more truly, water injection tests are generally performed on the porous medium in situ to obtain a corresponding permeability coefficient.
S02, obtaining second data of the grouting point, wherein the second data comprise groundwater pressure at the grouting point.
The groundwater pressure refers to the pressure state of groundwater in an underground medium, namely the pressure of water molecules in the underground medium due to the action of gravity, and the unit is Pa. In grouting engineering, the groundwater pressure at the grouting point is measured in order to understand the horizontal distribution of groundwater, the direction of water flow, and the variation of groundwater level.
Further, in order to obtain the groundwater pressure data at the grouting point, a pore water pressure sensor is pre-buried underground at the grouting point, and then the groundwater pressure at the corresponding pre-buried point is obtained through the pore water pressure sensor.
S03, obtaining third data of the Bingham cement slurry to be injected into the porous medium, wherein the third data comprise yield stress of the Bingham cement slurry, plastic viscosity of the Bingham cement slurry, density of the Bingham cement slurry and viscosity of water in the Bingham cement slurry.
It is understood that Bingham cement slurry is a slurry that satisfies the osmotic diffusion profile and diffusion effect of Bingham fluid, and the water cement ratio is the ratio of the weight of water to the weight of cement in the cement slurry. The choice of the water-cement ratio is critical to the performance of the concrete or cement-based material, depending on the requirements of the project and the characteristics of the material. Further, the cement ratio of the Bingham cement slurry used in this example was in the range of 0.75 to 1.25. In other one or some embodiments, the cement ratio of the bingham cement slurry may be outside the range of 0.75 to 1.25, or may include the range provided by this embodiment.
The yield stress of the Bingham cement slurry refers to the minimum stress at which the Bingham fluid begins to plastically deform when subjected to an external stimulus (e.g., shear force), and reflects the critical condition in Pa at which the Bingham cement slurry first deforms after an external force is applied.
The plastic viscosityThe additional stress required for the fluid to continue to be a bingham fluid after the yield stress is exceeded is characteristic of the resistance of the bingham cement slurry during flow in pa.s.
The viscosity of water in the binhan cement slurry is the flow resistance of the water in the binhan cement slurry, and the unit is Pa.s; the viscosity number of water in Bingham cement slurry is affected by a number of factors, including the type of cement, the ratio of cement to water (cement to water ratio), the temperature of the slurry, and the like.
Further, in one or some embodiments, the yield stress, plastic viscosity, and viscosity of water in the bingham cement slurry in the third data may be obtained by: and obtaining a rheological equation of the Bingham cement slurry, and obtaining the third data through the rheological equation of the Bingham cement slurry.
Specifically, the obtaining the rheological equation of the bingham cement slurry, and obtaining the third data through the rheological equation of the bingham cement slurry, includes the following steps: the bingham cement slurry was first subjected to a rheological test at different times using a viscometer. Obtaining a corresponding rheological curve in a shear speed-shear stress coordinate system according to the result of the rheological test; and then based on the Bingham fluid rheology equation, combining the rheology curves to obtain the rheology equation of the Bingham cement slurry. And finally, obtaining the third data through a rheological equation of the Bingham cement slurry.
Further, the viscometer may be a rotational viscometer or a capillary viscometer. Specifically, the selection can be performed according to actual conditions. In the test, the shear rate of the slurry can be varied and the rheological behaviour of the slurry under different conditions observed and recorded. Shear stress data at different shear rates were obtained by these experiments.
The bingham fluid rheology equation is an equation describing the rheological properties of bingham cement slurries, which can be used to fit a rheological curve and obtain corresponding rheological parameters, in particular, the bingham fluid rheology equation isWherein->Represents shear stress (Pa),>indicating yield stress +.>Indicating plastic viscosity->Represents the shear rate(s) -1 ）。
In one or more embodiments, the density of the Bingham cement slurryCan be obtained by specific gravity measurement in kg/m 3 。
S04, setting grouting engineering parameters, wherein the grouting engineering parameters comprise grouting pressure, grouting time, the number of grouting holes on the side face of a grouting pipe, grouting radius and paving angle of the grouting pipe.
The grouting engineering parameters refer to a series of parameters which need to be set and controlled in the grouting engineering and directly influence the progress of the grouting process and the achievement of the grouting effect. Further, the grouting engineering parameters of the invention comprise grouting pressure Grouting time->(s) number of grouting holes on side face of grouting pipe->(dimensionless number), grouting radius +.>(m) laying Angle of grouting pipe +.>（°）。
Grouting pressure refers to the pressure applied in a grouting pipe for pushing grouting material (such as cement slurry) to flow and permeate into a rock-soil body. The grouting time refers to the duration of the grouting operation, that is, the length of time the grouting operation is performed under a certain grouting pressure. The number of grouting holes on the side surface of the grouting pipe represents the number of holes arranged on the side surface of the grouting pipe. The grouting radius refers to the distance between the center of the grouting pipe and the holes on the side surface of the grouting pipe, namely the radius range of the grouting influence. The laying angle of the grouting pipe refers to the inclination angle of the grouting pipe relative to the horizontal direction of the ground.
S05, constructing a hemispherical osmotic grouting range determination model of the column.
In this embodiment, the column hemispherical infiltration grouting range determination model satisfies the following formula:
，
wherein->First quantization index representing column hemispherical osmotic grouting space diffusion range, < >>Second quantitative index representing the diffusion range of the hemispherical osmotic grouting space of the column, < >>Represents grouting pressure, ++>Represents the groundwater pressure at the grouting point, +. >Indicates the number of grouting holes on the side surface of the grouting pipe, < + >>Representing the plastic viscosity of Bingham cement slurry, +.>Representing the porosity of the pore medium, +.>Represents the density of water>Indicating the acceleration of gravity>Represents the permeability coefficient of the porous medium, < >>Indicating the viscosity of water in Bingham cement slurry, </i >>Representing the yield stress of Bingham cement slurry, +.>Indicates grouting time, < > and->Represents grouting radius>Representing the density of the bingham cement slurry,,/>representing the included angle between the diffusion direction of the Binhan cement slurry and the grouting pipe, and>the laying angle of the grouting pipe is shown.
It is easy to understand that the column hemispherical grouting range determination model can utilize computer programming languages, such as Python, MATLAB, C ++, and the like, to construct a corresponding calculation model according to the specific characterization equation of the model, and then output the quantitative index of the calculated grouting range as a program result.
Further, referring to fig. 2 and 3, fig. 2 is a schematic diagram of a hemispherical osmotic grouting diffusion form of a porous medium column taking into consideration the comprehensive influence of the gravity of the bingham slurry and the laying angle of the grouting pipe, and fig. 3 is a schematic diagram of the stress of a fluid taking into consideration the comprehensive influence of the gravity of the bingham slurry and the laying angle of the grouting pipe. The hemispherical osmotic grouting range determination model of the column comprises the following construction steps:
As shown in FIG. 2, the included angle between the central axis of any grouting pipe and the horizontal plane is recorded as(0.ltoreq.alpha.ltoreq.2pi), i.eGrouting pipe laying angle; in the dispersing process of the slurry, the included angle between the dispersing direction and the central axis of the grouting pipe is recorded as +.>. The slurry in FIG. 2 is subject to gravity when it spreads in any direction after exiting the orifice of the grouting pipe, and the gravity in this direction when the unit volume of slurry spreads in any direction can be expressed as + ->。
Assuming a single capillary channel of radiusSelecting cylindrical microelements with capillary center line as symmetry axis, wherein the radius is +.>And->The method comprises the steps of carrying out a first treatment on the surface of the The stress condition of the microcell body is shown in figure 3 (in figure 3 +.>And->The pressure exerted on the two sections of the cylindrical microelements are respectively +.>For the fluid flow nucleus radius of Bingham +.>For slurry flow rate within the flow core radius, +.>Is the slurry flow rate outside the radius of the flow core).
Under the condition of considering the comprehensive influence of the dead weight of the Bingham slurry and the laying angle of the grouting pipe, as can be seen from fig. 1-2, the stress balance relationship on the fluid column micro-element body is as follows:
the method comprises the steps of carrying out a first treatment on the surface of the Further simplifying the stress balance relation equation on the fluid column infinitesimal body into:
。
when (when)，/>The radial distance +. >The following equation is satisfied:
。
distance to radial directionSubstitution of the rheological equation Bingham fluid constitutive equation>（/>Indicating shear stress->Indicating yield stress +.>Indicating plastic viscosity->，/>Indicating the shear rate),the method can obtain:
。
for a pair ofThe integration can be performed to obtain:
the method comprises the steps of carrying out a first treatment on the surface of the Thereby obtaining the flow in a single capillary>Specifically, the number of the cells, specifically,。
flow rate of a single capillary tubeDivided by capillary section>Obtaining average speed +.>The method comprises the following steps:. Further, when the flow rate in the capillary is zero, there is +.>。
Solving the equation obtained when the flow in the capillary tube is zero, and obtaining the starting pressure gradientSaid start pressure gradient->The following formula is satisfied:
。
using the Dupuit-forscheimer relationship:wherein->Represents the permeation rate; let->，/>The permeability of the porous medium is represented, and then a seepage motion equation considering the comprehensive influence of the dead weight of the Bingham slurry and the laying angle of the grouting pipe is obtained as follows:
。
the pressure gradient of the grouting material after grouting is far greater than the starting pressure gradient of the Bingham fluid, namely:the higher order terms in the percolation motion equation can be ignored, and the percolation motion equation is further simplified into:
。
due toFurther combining with the simplified post-seepage motion equation, the method can be used for obtaining:
. In the column hemisphere permeation grouting diffusion process considering the comprehensive influence of the weight of Bingham slurry and the laying angle of a grouting pipe, the grouting amount in unit time is +. >Wherein->Represents the grouting amount per unit time, +.>A is the area of a cylinder through which cement slurry flows during the transportation process, and +.>Representing the columnar diffusion height, and further, the following can be obtained:
。
height of diffusion of column portionAnd->The relationship is as follows:
. Meanwhile, consider grouting boundary conditions of the hemispherical diffusion model of the column: i.e. < ->，/>（/>Radius of grouting pipe),>（is groundwater pressure) is added with water>Substituting boundary conditions into +.>Can obtain. And because of the grouting amountFurther, it is possible to:。
based on permeability coefficientAnd permeability->Is the relation of: />Wherein->Represents the osmotic coefficient>Indicating the viscosity of water, ">Represents the density of water>Representing gravitational acceleration; substituting it into the aboveFurther, it is possible to obtain:。
by passing through，/>And +.>Can be obtained. Substituting it into:the first quantization index of the diffusion range of the hemispherical osmotic grouting space of the porous medium column, which considers the comprehensive influence of the weight of the Bingham slurry and the laying angle of the grouting pipe, can be obtained>：/>。
According toThe second quantization index of the diffusion range of the hemispherical osmotic grouting space of the porous medium column, which considers the comprehensive influence of the weight of the Bingham slurry and the laying angle of the grouting pipe, can be obtained>：/>。
S06, combining the first data, the second data and the third data by utilizing the column hemispherical infiltration grouting range determining model to obtain column hemispherical infiltration grouting space diffusion range quantification indexes of the porous medium under grouting engineering based on grouting engineering parameters.
Further, the included angle between the slurry liquid diffusion direction of Bingham cement and the grouting pipeAt->To->Taking a value, and obtaining a corresponding first quantization index +.>And a first quantization index->. In this embodiment, the first quantization index +.>The included angle between the diffusion direction of the Bingham cement slurry and the grouting pipe is +.>In the horizontal direction, half of the diffusion range length of the hemispherical grouting space is filled with the second quantitative index +.>The included angle between the diffusion direction of the Bingham cement slurry and the grouting pipe is +.>And the diffusion range length of the hemispherical grouting space of the column is in the height direction of the column part.
In yet another embodiment, please refer to fig. 4, fig. 4 is a second flowchart of a method for determining a range of grouting for hemispherical pillars based on the gravity and angle of the bingham slurry according to an embodiment of the present invention. As shown in fig. 4, the method for determining the column hemisphere grouting range based on the gravity and the angle of the bingham slurry provided by the invention comprises the following steps:
s07, visualizing quantitative indexes of the diffusion range of the hemispherical column osmotic grouting space of the porous medium in the grouting engineering based on the grouting engineering parameters.
Specifically, a visual simulation system for the hemispherical osmotic grouting space diffusion range of the porous medium column, which considers the comprehensive influence of the dead weight of the Bingham slurry and the laying angle of the grouting pipe, can be developed secondarily based on a computer programming technology by means of the COMSOL Multiphysics platform, so that the real-time dynamic numerical simulation for the hemispherical osmotic grouting whole process space diffusion range of the porous medium column, which considers the comprehensive influence of the dead weight of the Bingham slurry and the laying angle of the grouting pipe, is realized.
In still another embodiment, please refer to fig. 5, fig. 5 is a schematic diagram of a column hemisphere grouting range determination device based on the gravity and the angle of the bingham slurry according to an embodiment of the present invention. As shown in fig. 5, the device for determining the range of column hemispherical infiltration grouting based on the dead weight and the angle of the bingham slurry comprises: the system comprises a first data acquisition module, a second data acquisition module and a third data acquisition module.
Further, the first data acquisition module, the second data acquisition module and the third data acquisition module are respectively used for acquiring the first data, the second data and the third data in the column hemisphere grouting range determination method based on the weight and the angle of the Bingham slurry.
Specifically, the first data acquisition module comprises a sensor, a measuring instrument or a detecting device required in a rock-soil body test and is used for acquiring the porosity of the porous medium and the permeability coefficient of the porous medium. The second data acquisition module comprises a water pressure sensor device for groundwater pressure at the grouting point. The third data acquisition module comprises relevant experimental equipment and experimental analysis instruments for realizing rheological tests and analysis of rheological test data results, and is used for obtaining yield stress of the Bingham cement slurry, plastic viscosity of the Bingham cement slurry and viscosity of water in the Bingham cement slurry; further, the third data acquisition module further comprises experimental equipment for realizing a specific gravity experiment, and further is used for obtaining the density of the binhan cement slurry.
In yet another embodiment, please refer to fig. 6, fig. 6 is a schematic diagram of a column hemisphere grouting range determination system based on the gravity and the angle of the bingham slurry according to an embodiment of the present invention. As shown in fig. 6, the system for determining the grouting range of the hemispherical column osmosis based on the dead weight and the angle of the bingham slurry comprises a data input module, a data acquisition module, a data analysis module and a data output module.
Further, the data input module is configured to receive grouting engineering parameters input by a user, and specifically, the data input module may be an input device or an input interface, through which a user may input parameters of interest in grouting engineering, such as properties of grouting material, grouting depth, grouting flow rate, and the like.
The data acquisition module is used for acquiring the first data, the second data and the third data in the column hemisphere infiltration grouting range determination method based on the weight and the angle of the Bingham slurry. Specifically, the data acquisition module may include the first data acquisition module, the second data acquisition module, and the third data acquisition module, and further acquire the corresponding first data, the second data, and the third data by using the first data acquisition module, the second data acquisition module, and the third data acquisition module, respectively.
The data analysis module is used for constructing the column hemispherical infiltration grouting range determination model, and acquiring quantitative indexes of the column hemispherical infiltration grouting space diffusion range of the porous medium under grouting engineering based on grouting engineering parameters by utilizing the column hemispherical infiltration grouting range determination model and combining data input by the data input module and the data acquisition module.
The data output module is used for outputting quantitative indexes of the diffusion range of the hemispherical grouting space of the column, and further, the analysis result of the data analysis module can be output by the data output module in a text report or graphic display mode.
In yet another alternative embodiment, the invention further provides a computer readable storage medium, where the computer readable storage medium stores program instructions capable of being executed by a processor, where the program instructions are configured to implement the method for determining a column hemisphere grouting range based on the weight and angle of bingham slurry.
Further, these program instructions cover the steps described by the column hemisphere grouting range determination method based on the weight and angle of bingham slurry, including: obtaining first data of a porous medium to be grouting, obtaining second data of grouting points, obtaining third data of Bingham cement slurry to be injected into the porous medium, setting grouting engineering parameters, constructing a column hemispherical infiltration grouting range determination model, combining the first data, the second data and the third data by utilizing the column hemispherical infiltration grouting range determination model, obtaining column hemispherical infiltration grouting space diffusion range quantization indexes of the porous medium under grouting engineering based on the grouting engineering parameters, visualizing column hemispherical infiltration grouting space diffusion range quantization indexes of the porous medium under grouting engineering based on the grouting engineering parameters and the like.
Through the computer readable storage medium, a user can easily operate the method for determining the osmotic grouting range on a computer, and accurate and efficient calculation and quantification of the hemispherical osmotic grouting space diffusion range of the porous medium column of grouting engineering parameters are realized. This helps to improve the scientificity and feasibility of engineering design, and ensures the smooth implementation of grouting engineering.
In a specific embodiment, the method for determining the column hemispherical osmotic grouting range based on the dead weight and the angle of the Bingham slurry provided by the invention is used for obtaining the quantization index of the column hemispherical osmotic grouting diffusion range of the Bingham slurry in a porous medium, and specifically comprises the following implementation steps:
obtaining the porosity of the porous medium by developing a rock-soil body testCoefficient of penetrationUnderground water pressure at grouting point +.>. Wherein the porosity of the porous medium is->The following formula is satisfied by the porosity characterization model: />Obtained at this time, the->，，/>，/>。
Further, the yield stress of the designed cement slurry with the water-cement ratio of 1.00 Bingham is obtained by carrying out a rheological testPlastic viscosity->Density->And determining the viscosity of water. According to the actual situation, the grouting pressure is designed>Grouting time- >The number of grouting holes on the side surface of the grouting pipe>Grouting radius->Paving angle->。
Further, cement paste for binghamIncluded angle between liquid diffusion direction and grouting pipeAt->To->Taking a value, and obtaining a corresponding first quantization index +.>And a first quantization index->。
And (3) visualizing the hemispherical osmotic grouting space diffusion range of the porous medium column, which is obtained by a column hemispherical osmotic grouting range determination method based on the weight and angle of the Bingham slurry and considers the comprehensive influence of the weight and the laying angle of the grouting pipe, and obtaining a first simulation diagram of the hemispherical osmotic grouting space diffusion range of the porous medium column, which is obtained by the method for determining the hemispherical osmotic grouting range of the column based on the comprehensive influence of the weight and the laying angle of the Bingham slurry, as shown in fig. 7. In fig. 7, (a) to (f) respectively show simulation graphs of the hemispherical osmotic grouting space diffusion ranges of the porous medium column at different moments in the visualization process, and three-dimensional coordinates respectively show the hemispherical osmotic grouting ranges of the siraitia grosvenorii slurry in the three-dimensional direction column under consideration of the influence of the dead weight and the laying angle of the siraitia grosvenorii slurry.
Based on the data, in the present embodiment, for different paving anglesUnder the condition, by combining the method for determining the hemispherical osmotic grouting range of the column based on the weight and the angle of the Bingham slurry, which is provided by the invention, the corresponding simulation of the hemispherical osmotic grouting space diffusion range of the porous medium column taking the comprehensive influence of the weight and the paving angle of the grouting pipe into account is carried out, and the hemispherical osmotic grouting space diffusion range of the porous medium column taking the comprehensive influence of the weight and the paving angle of the grouting pipe into account is obtained A second simulated view is shown in fig. 8. Fig. 8 (a) to (g) show simulation graphs of the hemispherical osmotic grouting spatial diffusion ranges of porous medium columns at different laying angles.
Further, the space diffusion range obtained by the hemispherical osmotic grouting theory of the porous medium column without considering the influence of the factors is visualized, and a simulation diagram of the space diffusion range of the hemispherical osmotic grouting of the porous medium column without considering the comprehensive influence of the dead weight of the Bingham slurry and the paving angle of the grouting pipe is obtained, as shown in fig. 9. Further, in fig. 9, three-dimensional coordinates respectively represent hemispherical osmotic grouting ranges of the siraitia grosvenorii slurry in the three-dimensional direction column without considering the influence of the dead weight and the laying angle of the siraitia grosvenorii slurry.
Further, according to the parameters in the method for determining the hemispherical osmotic grouting range of the column based on the dead weight and the angle of the bingham slurry provided by the embodiment, an experimental diagram of the hemispherical osmotic grouting spatial diffusion range of the porous medium column is obtained, as shown in fig. 10, the area a represents a spherical diffusion area, and the area B represents a cylindrical diffusion area. Comparing fig. 10 with fig. 7 (f) and fig. 9, it can be seen that, according to the method for determining the hemispherical osmotic grouting range of the column based on the dead weight and angle of the bingham slurry provided in this embodiment, the spatial diffusion range obtained by the hemispherical osmotic grouting theory of the porous medium column without considering the influence of these factors is closer to the test result, and the form of the osmotic grouting diffusion range of the bingham slurry in the rock-soil body can be reflected more, so that the method is more suitable for grouting engineering practice. Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some or all of the technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit of the invention, and are intended to be included within the scope of the appended claims and description.
Claims (10)
1. The method for determining the column hemisphere penetrating grouting range based on the weight and the angle of the Bingham slurry is characterized by comprising the following steps of:
acquiring first data of a porous medium to be grouting, wherein the first data comprise the porosity of the porous medium and the permeability coefficient of the porous medium;
acquiring second data of the grouting point, wherein the second data comprises groundwater pressure at the grouting point;
obtaining third data of the Bingham cement slurry to be injected into the porous medium, wherein the third data comprises yield stress of the Bingham cement slurry, plastic viscosity of the Bingham cement slurry, density of the Bingham cement slurry and viscosity of water in the Bingham cement slurry;
setting grouting engineering parameters, wherein the grouting engineering parameters comprise grouting pressure, grouting time, the number of grouting holes on the side surface of a grouting pipe, grouting radius and paving angle of the grouting pipe;
constructing a column hemispherical infiltration grouting range determination model, wherein the column hemispherical infiltration grouting range determination model meets the following formula:
，
wherein->First quantization index representing column hemispherical osmotic grouting space diffusion range, < >>Second quantitative index representing the diffusion range of the hemispherical osmotic grouting space of the column, < > >Represents grouting pressure, ++>Represents the groundwater pressure at the grouting point, +.>Indicates the number of grouting holes on the side surface of the grouting pipe, < + >>Representing the plastic viscosity of Bingham cement slurry, +.>Representing the porosity of the pore medium, +.>Represents the density of water>Indicating the acceleration of gravity>Represents the permeability coefficient of the porous medium, < >>Indicating the viscosity of water in Bingham cement slurry, </i >>Representing the yield stress of Bingham cement slurry, +.>Indicates grouting time, < > and->Represents grouting radius>Representing the density of the bingham cement slurry,,/>representing the included angle between the diffusion direction of the Binhan cement slurry and the grouting pipe, and>representing the laying angle of the grouting pipe;
and combining the first data, the second data and the third data by using the column hemispherical infiltration grouting range determination model to obtain column hemispherical infiltration grouting space diffusion range quantization indexes of the porous medium in grouting engineering based on grouting engineering parameters.
2. The method for determining the range of column hemispherical infiltration grouting based on the dead weight and the angle of Bingham slurry according to claim 1, further comprising the following steps:
and visualizing quantitative indexes of the diffusion range of the hemispherical column penetrating grouting space of the porous medium in the grouting engineering based on the grouting engineering parameters.
3. The method for determining the column hemispherical osmotic grouting range based on the dead weight and the angle of the bingham slurry according to claim 2, wherein the step of visualizing the quantitative index of the spatial diffusion range of the column hemispherical osmotic grouting of the porous medium in the grouting engineering based on the grouting engineering parameters comprises the following steps:
depending on a COMSOL Multiphysics platform, the quantitative index of the diffusion range of the hemispherical column osmotic grouting space of the porous medium under the grouting engineering based on the grouting engineering parameters is visualized.
4. The method for determining the range of column hemispherical infiltration grouting based on the dead weight and the angle of the bingham slurry according to claim 1, wherein the step of obtaining the first data of the porous medium to be grouting comprises the following steps:
acquiring material characteristic parameters of a porous medium to be grouting, wherein the material characteristic parameters comprise the specific gravity of the porous medium, the mass water content of the porous medium and the density of the porous medium;
and constructing a porosity characterization model of the porous medium, and combining the material characteristic parameters by utilizing the porosity characterization model to obtain the porosity of the porous medium.
5. The method for determining the range of column hemispherical infiltration grouting based on the dead weight and the angle of Bingham slurry according to claim 4, wherein the porosity characterization model satisfies the following formula:
Wherein->Representing the specific gravity of the porous medium, < > and->Represents the density of pure distilled water at 4℃, [ about ]>Represents the mass water content of the porous medium, < > and->Representing the density of the porous medium.
6. The method for determining the range of column hemispherical infiltration grouting based on the dead weight and angle of Bingham slurry according to claim 1, wherein the third data of Bingham cement slurry to be injected into the porous medium is obtained, comprising the steps of:
and obtaining a rheological equation of the Bingham cement slurry, and obtaining the third data through the rheological equation of the Bingham cement slurry.
7. The method for determining the column hemisphere penetrating grouting range based on the dead weight and the angle of the Bingham slurry according to any one of claims 1 to 6, wherein the water-cement ratio of the Bingham slurry is in the range of 0.75 to 1.25.
8. The column hemisphere infiltration grouting range determining device based on the weight and the angle of the Bingham slurry is characterized by comprising a first data acquisition module, a second data acquisition module and a third data acquisition module;
wherein the first data acquisition module is used for acquiring the first data according to any one of claims 1 to 7; the second data acquisition module is used for acquiring the second data of any one of claims 1 to 7; the third data acquisition module is used for acquiring the third data according to any one of claims 1 to 7.
9. The column hemisphere infiltration grouting range determining system based on the weight and the angle of the Bingham slurry is characterized by comprising a data input module, a data acquisition module, a data analysis module and a data output module;
the data input module is used for inputting grouting engineering parameters according to any one of claims 1-7, the data acquisition module is used for acquiring first data, second data and third data according to any one of claims 1-7, the data analysis module is used for constructing the column hemispherical infiltration grouting range determination model, and the column hemispherical infiltration grouting range determination model is used for combining the data input by the data input module and the data acquisition module to acquire the column hemispherical infiltration grouting space diffusion range quantization index according to any one of claims 1-7; and the data output module is used for outputting quantitative indexes of the diffusion range of the hemispherical grouting space of the column.
10. A computer readable storage medium storing program instructions executable by a processor for implementing the method for determining a range of grouting for hemispherical pillars based on the dead weight and angle of the bingham slurry according to any one of claims 1 to 6.
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