A method for calculating rheological relationship of grout during grouting of fractured rock mass in submarine tunnel

Abstract

The present invention relates to the field of numerical simulation calculations, and specifically discloses a calculation method for the rheological relationship of grout during the grouting process of fractured rock masses in a submarine tunnel, including: (1) calculating the variation curve of the dilution degree η of the grout with time t: η(t). (2) Obtaining the variation curve φ(t) of the rheological parameters of the grout from 0 to (1-δ) / δ with time. (3) Selecting Δt to differentiate the growth processes of η(t) and φ(t). (4) Calculating the dilution degree η of the grout within 0 to t 总 of the grout i . (5) Calculating the inverse function by obtaining the variation of the rheological parameter φ of the grout with time t. (6) Calculating the increment Δφ of the rheological parameter φ of the grout passing through Δt; then calculating φ i+1 , and finally calculating the rheological parameters of the grout at all times. The method of the present invention realizes the accurate calculation of the rheological relationship of the grout on the premise of considering the mixing effect of the grout and seawater, and provides an accurate basis for the effective prediction of the grouting diffusion process.

Description

Technical Field

[0001] The invention relates to the field of numerical simulation calculation, and in particular to a method for calculating the rheological relationship of slurry during the grouting process of fractured rock mass in a submarine tunnel. Background Art

[0002] The information disclosed in this background technology section is only intended to enhance the understanding of the overall background of the invention, and should not necessarily be regarded as an admission or any form of suggestion that the information constitutes the prior art already known to a person skilled in the art.

[0003] Water-rich fractured rock mass is one of the main sources of geological disasters in the construction of submarine tunnels. It is very easy to induce fracture-type sudden water inrush disasters during the construction of submarine tunnels. Grouting is the most commonly used method to control water hazards in water-rich fractured rock mass in submarine tunnels. After the slurry fills the fractures, a slurry stone body is formed. The slurry stone body will effectively reduce the seepage space of groundwater in the fractures, thereby improving the impermeability of the fractured rock mass and achieving effective control of sudden water inrush disasters.

[0004] The accurate characterization of the rheological relationship of slurry is the prerequisite for scientific grouting design. Only based on the accurate rheological relationship of slurry can the key grouting parameters such as accurate grouting diffusion radius and grouting pressure be obtained. The grouting diffusion process of the fractured rock mass of the submarine tunnel is the process of injecting slurry into the seawater-saturated fractures and then filling and diffusing in the fractures. It involves the mixing of slurry and seawater in the fractures and the gel curing reaction of the slurry itself. Due to the mixing of slurry and seawater, the slurry concentration will be diluted and seawater ions such as chloride ions and sulfate ions will be added to the slurry, changing the gel curing reaction process of the slurry itself, resulting in an extremely complex rheological relationship of the slurry. At present, most calculations of the grouting diffusion process of the fractured rock mass of the submarine tunnel ignore the mixing effect of slurry and seawater, resulting in high or low grouting diffusion resistance, strong discreteness, and large differences between the calculated values ​​of grouting diffusion radius and grouting pressure and the actual engineering, making it difficult to effectively predict the grouting diffusion process. Summary of the invention

[0005] In order to solve the problem that the rheological relationship of slurry is difficult to effectively calculate during the grouting process of fractured rock mass in submarine tunnels, the present invention proposes a method for calculating the rheological relationship of slurry, which realizes the accurate calculation of the rheological relationship of slurry under the premise of considering the mixing effect of slurry and seawater, thereby providing an accurate basis for the effective prediction of the grouting diffusion process. Specifically, the technical solution of the present invention is as follows.

[0006] A method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel comprises the following steps:

[0007] (1) Calculate the relationship between the degree of slurry dilution η and time t during grouting of fractured rock mass: η(t).

[0008] (2) Taking ∆η as the gradient of the slurry dilution degree, the relationship curve of the slurry rheological parameter φ changing with time t at different slurry dilution degrees in the range of 0~(1-δ) / δ is obtained: φ(t), where: δ is the filling rate of the fracture slurry.

[0009] (3) Select a micro-time unit Δt to differentiate the growth process of η(t) and the growth process of φ(t).

[0010] (4) Calculate 0~t 总 Within the time range, the dilution degree η of the slurry at all times t=iΔt i , where: i is a positive integer, and 1≤i≤n, t 总 = nΔt.

[0011] (5) By linear interpolation of the dilution degree η of the slurry, calculate η0, η1, η2, ..., η i ,…,η n The relationship between the rheological parameter φ of the slurry and the time t under the corresponding slurry dilution degree. Then, the inverse function of the change relationship function is obtained, that is, the time required to reach a specific rheological parameter under a fixed slurry dilution degree.

[0012] (6) Calculate the increment Δφ of the slurry rheological parameter φ from the time iΔt to the time (i+1)Δt. Then calculate the slurry rheological parameter φ corresponding to the time (i+1)Δt. i+1 Repeat the above steps to calculate 0~t 总 Rheological parameters of the slurry at all times t=iΔt within the time range.

[0013] Furthermore, in step (1), η(t) is calculated by the following formula (1):

[0014] (1).

[0015] In the above formula (1), the t 总 is the total grouting time, δ is the filling rate of the fracture slurry. In addition, in step (1), η is the dilution degree of the slurry, that is, the volume ratio of seawater to slurry: η=V 海水 / V 浆液 . The V 海水 Represents the volume of seawater in the mixture of slurry and seawater, V 浆液 Represents the volume of slurry in the mixture.

[0016] Furthermore, in step (2), when the initial dilution degree of the slurry η0=0 and the final dilution degree η t总 =(1-δ) / δ, and △η=(1-δ) / (δm). m is a positive integer not less than 2.

[0017] Further, in step (2), the dilution degree of the slurry is gradually increased from the initial dilution degree η0 to the final dilution degree η according to the Δη. t总 (i.e. η0, η 0+ △η、η 0+ 2△η......η 0+ i△η......η t总 ), and then test the relationship between the slurry rheological parameter φ and time t under these different slurry dilution degrees:

[0018] , , , …, , …, .

[0019] In the above formula, η0 represents the initial dilution degree of the slurry, η t总 represents the final dilution degree of the slurry, i is a positive integer, and 1≤i≤m, and m is a positive integer not less than 2. The slurry rheological parameter φ can be used to represent the viscosity and yield stress of the slurry.

[0020] Furthermore, in step (3), the micro-time unit Δt does not exceed t 总 10% of.

[0021] Furthermore, in step (4), the slurry dilution degree η at all times t=iΔt is i Calculated by the following formula (2):

[0022] (2).

[0023] Furthermore, in step (5), the relationship between the change of the slurry rheological parameter φ and time t is calculated by the following formula (3):

[0024] (3).

[0025] In the above formula (3), η i represents the dilution degree of the slurry at time t=iΔt, η low is lower than the η in step (2) i The dilution degree of an adjacent slurry. high represents the value higher than the η in step (2) i The dilution degree of an adjacent slurry. , Represents the dilution degree of slurry η high , η low Variation of slurry rheological parameter φ with time t under .

[0026] Furthermore, in step (5), the inverse function is calculated by the following formula:

[0027] , , …, , …, .

[0028] In the above formula, t represents the time required to reach a specific rheological parameter under the above-mentioned fixed slurry dilution degree, and φ represents the slurry rheological parameter.

[0029] Furthermore, in step (6), the increment Δφ of the slurry rheological parameter φ from the time iΔt to the time (i+1)Δt is calculated by the following steps:

[0030] ① Rheological parameter φ at the iΔt moment i In η i , η i+1 The corresponding horizontal coordinate time positions on the φ(t) curve under these two slurry dilution degrees can be expressed by inverse functions as follows: , .

[0031] ② Slurry dilution degree η i Under this condition, the rheological parameter increment corresponding to the micro-time unit Δt is determined by the following formula: . Where φ i Represents the rheological parameters of the slurry at the iΔt moment.

[0032] ③ Slurry dilution degree η i+1 Under this condition, the rheological parameter increment corresponding to the micro-time unit Δt is calculated by the following formula: . Where φ i Represents the rheological parameters of the slurry at the iΔt moment.

[0033] ④Slurry passes i Δ t Time to i +1)Δ t At this moment, the slurry rheological parameter increment Δ φ For the and The average value of is:

[0034] .

[0035] Furthermore, in step (6), the φ i+1 Calculated by the following formula: i+1 =φ i +Δφ. Where: iThat is, the slurry rheological parameter at the iΔt-th moment mentioned above, and Δφ is the slurry rheological parameter increment mentioned above.

[0036] Compared with the prior art, the present invention has at least the following beneficial technical effects: the calculation method provided by the present invention solves the problem of calculating the rheological parameters of the slurry in the process of the constantly changing degree of dilution of the slurry by seawater, and realizes the accurate calculation of the rheological relationship of the slurry under the combined influence of the slurry-seawater mixing effect and the slurry's own gel solidification reaction in the seawater-saturated rock mass fissure environment of the submarine tunnel, providing a scientific basis for the rheological relationship of the slurry for the effective prediction of the grouting diffusion process in the fissure rock mass of the submarine tunnel. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] The accompanying drawings in the specification, which constitute a part of the present invention, are used to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute improper limitations on the present invention.

[0038] Figure 1 Graph showing the relationship between the degree of slurry dilution η and time t in the following examples.

[0039] Figure 2 Graph showing the relationship between cement slurry viscosity μ and time t in the following examples.

[0040] Figure 3 Schematic diagram of the calculation principle for differentiating the growth process of φ(t) in the following embodiments.

[0041] Figure 4 In the following examples, n0 to n 20 Curve diagram of the relationship between slurry viscosity μ and time t at 21 different slurry dilution degrees within the range.

[0042] Figure 5 Graph showing the relationship between cement slurry viscosity and time t in the following examples. DETAILED DESCRIPTION

[0043] It should be noted that the following detailed descriptions are illustrative and intended to provide further explanation of the present invention. Unless otherwise specified, all technical and scientific terms used in the present invention have the same meanings as those commonly understood by those skilled in the art to which the present invention belongs.

[0044] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit exemplary embodiments according to the present invention. As used herein, unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. In addition, it should also be understood that when the terms "comprise" and / or "include" are used in this specification, it indicates the presence of features, steps, operations, devices, components and / or combinations thereof.

[0045] For the convenience of description, if the words "up", "down", "left" and "right" appear in the present invention, they only indicate that they are consistent with the up, down, left and right directions of the drawings themselves, and do not limit the structure. They are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the referred device or component needs to have a specific orientation, be constructed and operated in a specific orientation. Therefore, it cannot be understood as a limitation on the present invention.

[0046] The method for calculating the rheological relationship of slurry during grouting of fissured rock mass in an undersea tunnel of the present invention is now further described in conjunction with the accompanying drawings and specific embodiments of the specification. This embodiment selects a grouting and plugging project for water gushing from a fissured rock mass in an undersea tunnel in Jiaozhou Bay, Qingdao as the engineering background. The water-rich fissured rock mass suffers from serious water gushing disasters. The fissured rock mass serves as a water conduit to connect the tunnel excavation air surface with the seawater above the tunnel. The ion composition of the gushing water is consistent with the ion composition of the seawater above the tunnel. Therefore, the grouting plugging method is used to plug the fissure water. The grouting construction uses ordinary single-liquid cement slurry as the main plugging material. The cement slurry ratio used is W / C=0.8, the fissure slurry filling rate δ=0.8, and the total grouting time t 总 = 1h. Then the rheological relationship of the slurry during the grouting process of the fractured rock mass is calculated, which specifically includes the following steps:

[0047] (1) Calculate the relationship curve of the slurry dilution degree η during the grouting process of the fractured rock mass with the time t: η(t), wherein η(t) is calculated by the following formula (1):

[0048] (1).

[0049] Substituting each parameter into the above formula (1), we can obtain the relationship curve of the slurry dilution degree η versus time t: η(t)=0.25t, as Figure 1 shown.

[0050] (2) When the initial dilution degree of the slurry η0=0 and the final dilution degree η t总 =(1-δ) / δ=0.25, set the change gradient △η=0.05, and then according to the calculation formula △η=(1-δ) / (δm), get m=5.

[0051] Then, the dilution degree of the slurry is gradually increased from the initial dilution degree η0 to the final dilution degree η according to the Δη. t总 (i.e. η0, η 0+ △η、η 0+ 2△η......η 0+ i△η.....η t总), the relationship between the slurry rheological parameter φ and time t under different slurry dilution degrees was tested by rheometer. For cement slurry, its rheological parameter is expressed by slurry viscosity (μ). The calculation results are as follows and Figure 2 As shown:

[0052] ;

[0053] (3) Select a micro-time unit Δt=0.05h to differentiate the growth process of η(t) and the growth process of φ(t). The calculation principle for differentiating the growth process of φ(t) is as follows: Figure 3 shown.

[0054] (4) Calculate 0~t 总 (i.e. 0~1h) time range, the slurry dilution degree η at all times t=iΔt i , where: t 总 =nΔt=20Δt, so 1≤i≤n=20, and i is a positive integer. i Calculated by the following formula (2):

[0055] (2).

[0056] Substituting each parameter into the above formula (2), we can obtain η i =0.0125i.

[0057] (5) By linear interpolation of the dilution degree η of the slurry, calculate η0, η1, η2, ..., η i ,…,η n At the corresponding slurry dilution degree, the relationship between the slurry rheological parameter φ and time t is calculated by the following formula (3):

[0058] (3).

[0059] In the above formula (3), η i represents the dilution degree of the slurry at time t=iΔt, η low is lower than the η in step (2) i The dilution degree of an adjacent slurry. high represents the value higher than the η in step (2) i The dilution degree of an adjacent slurry. , Represents the dilution degree of slurry η high , η low Variation of slurry rheological parameter φ with time t under .

[0060] The specific calculation process is as follows: According to the above η i=0.0125i to obtain the relationship between the viscosity of the slurry and time under the slurry dilution degree corresponding to η1: η1=0.0125. η low is the dilution degree η of a slurry lower than η1 and adjacent to it in step (2) low =0. high represents the dilution degree η of a slurry in step (2) that is higher than η1 and adjacent to it high = 0.05. The η obtained in step (2) low =0, η high =0.05 is substituted into the above formula (3), and the relationship between the slurry viscosity (μ) and time under the slurry dilution degree corresponding to η1 is obtained:

[0061] Using the same method, we can obtain η0~η 20 The relationship between the viscosity of the slurry and the time t at 21 different slurry dilution degrees within the range is shown in the following figure. Figure 4 shown.

[0062] (6) Obtaining the inverse function of the relationship between the rheological parameter φ of the slurry and the time t, that is, the time required to reach a specific rheological parameter at a fixed slurry dilution degree, which is specifically calculated by the following formula:

[0063] , , …, , …, .

[0064] In the above formula, t represents the time required to reach a specific rheological parameter under the above-mentioned fixed slurry dilution degree, and φ represents the slurry rheological parameter.

[0065] (7) Calculating the increment Δφ of the rheological parameter φ of the slurry from the time iΔt to the time (i+1)Δt, specifically including the following steps:

[0066] ① Rheological parameter φ at the iΔt moment i In η i , η i+1 The corresponding horizontal coordinate time positions on the φ(t) curve under these two slurry dilution degrees can be expressed by inverse functions as follows: , .

[0067] ② Slurry dilution degree η i Under this condition, the rheological parameter increment corresponding to the micro-time unit Δt is determined by the following formula: . Where φ i Represents the rheological parameters of the slurry at the iΔt moment.

[0068] ④ Slurry dilution degree η i+1 Under this condition, the rheological parameter increment corresponding to the micro-time unit Δt is calculated by the following formula: . Where φ i Represents the rheological parameters of the slurry at the iΔt moment.

[0069] ④Slurry passes i Δ t Time to i +1)Δ t At this moment, the slurry rheological parameter increment Δ φ For the and The average value of is:

[0070] .

[0071] The specific calculation process is: when i=0, calculate the increment Δφ of the slurry viscosity (μ) from 0 to Δt:

[0072] ①No. t= Rheological parameters at time 0

[0073] .exist η 0 , η 1 The φ( t ) The corresponding horizontal axis time position on the curve can be obtained by the inverse function , The solution is obtained.

[0074] ② Slurry dilution degree η 0=0, micro time unit Δ t The corresponding rheological parameter increment is determined by the following formula: .

[0075] ③ Slurry dilution degree η 1, micro time unit Δ t The corresponding rheological parameter increment is calculated by the following formula: .

[0076] ④Slurry passes t= 0 time to Δ t At this moment, the slurry rheological parameter increment Δ φ For the and The average value of is:

[0077] .

[0078] (8) Then calculate the slurry rheological parameter φ corresponding to the time (i+1)Δti+1 Specifically, it is calculated by the following formula: i+1 =φ i +Δφ. Where: i That is, the slurry rheological parameter at the i-th Δt moment, and Δφ is the slurry rheological parameter increment. For example, when i=0, the slurry rheological parameter φ1 corresponding to the Δt moment is calculated, φ1=φ0+Δφ=19.9+1.4=21.3Pa.s.

[0079] (9) Repeat the above steps (7) and (8) to calculate the slurry rheological parameters at all times t = iΔt within the time range of t = 0 ~ 1h, that is, the relationship between the above cement slurry viscosity and time t. The results are as follows: Figure 5 shown.

[0080] Furthermore, the relationship between the rheological parameters of the slurry and the time of the slurry considering the mixing effect of seawater and slurry was obtained, and the viscosity-time relationship μ = f was established. 浆水混合 After (t), based on the fracture flow theory, the grouting pressure and grouting time can be established, which can be calculated by the following formula (4). The quantitative relationship between the grouting pressure and the grouting diffusion radius can also be established, which can be calculated by the following formula (5). This can effectively predict the grouting pressure and grouting diffusion radius during the grouting diffusion process.

[0081] (4).

[0082] (5).

[0083] In the above formulas (4) and (5), the p c represents the grouting pressure corresponding to the grouting time t, q is the grouting flow rate, and μ=f 浆水混合 (t) is the relationship between the viscosity of the slurry and seawater mixing and its change with time, b is the crack opening, t is the grouting time, r0 is the grouting hole radius, R is the grouting diffusion radius corresponding to the grouting time t, and p w is the hydrostatic pressure.

[0084] The technical solution of this embodiment obtains the time-varying curves of the rheological parameters of the slurry at different slurry dilution degrees, and then differentiates the time-varying process of the slurry dilution degree and the time-varying process of the slurry rheological parameters at different slurry dilution degrees through the differential method, thereby obtaining the time-varying relationship of the slurry rheological parameters at varying slurry dilution degrees, and realizing accurate calculation of the slurry rheological parameters considering the slurry-seawater mixing effect, providing quantitative slurry rheological parameter data for the calculation of grouting diffusion resistance, grouting diffusion radius, and grouting pressure, greatly improving the prediction accuracy of the grouting diffusion process, and providing an accurate scientific basis for the effective prediction of the grouting diffusion process in fractured rock mass of an undersea tunnel.

[0085] Finally, it should be noted that any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention. Although the above describes the specific implementation of the present invention in conjunction with the drawings, it is not a limitation of the protection scope of the present invention. Those skilled in the art should understand that on the basis of the technical solution of the present invention, various modifications or deformations that can be made by those skilled in the art without creative labor are still within the protection scope of the present invention.

Claims

1. A method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel, characterized in that: The steps include: (1) Calculate the relationship between the degree of slurry dilution η and time t during grouting of fractured rock mass: η(t); (2) Taking ∆η as the gradient of the slurry dilution degree, the relationship curve of the slurry rheological parameter φ with time t at different slurry dilution degrees in the range of 0~(1-δ) / δ is obtained: φ(t), where: δ is the filling rate of the fracture slurry; (3) Selecting a micro-time unit Δt to differentiate the growth process of η(t) and the growth process of φ(t); (4) Calculate 0~t 总 Within the time range, the dilution degree η of the slurry at all times t=iΔt i , where: i is a positive integer, and 1≤i≤n, t 总 = nΔt; (5) By linear interpolation of the dilution degree η of the slurry, calculate η0, η1, η2, ..., η i ,…,η n The relationship between the rheological parameter φ of the slurry and the time t under the corresponding slurry dilution degree; then the inverse function of the change relationship function is obtained; (6) Calculate the increment Δφ of the slurry rheological parameter φ from the time iΔt to the time (i+1)Δt; then calculate the slurry rheological parameter φ corresponding to the time (i+1)Δt i+1 ; Repeat the above steps to calculate 0~t 总 Rheological parameters of the slurry at all times t=iΔt within the time range.

2. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 1, characterized in that: In step (1), η(t) is calculated by the following formula (1): （1）； In the above formula (1), the t 总 is the total grouting time, and δ is the filling rate of the fracture grout.

3. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 1, characterized in that: In step (2), the initial dilution degree of the slurry η0 = 0 and the final dilution degree η t总 =(1-δ) / δ, and △η=(1-δ) / (δm), where m is a positive integer not less than 2.

4. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 1, characterized in that: In step (2), the dilution degree of the slurry is gradually increased from the initial dilution degree η0 to the final dilution degree η according to the Δη. t总 , that is, η0, η 0+ △η、η 0+ 2△η......η 0+ i△η......η t总 Then, the relationship between the slurry rheological parameter φ and time t under these different slurry dilution degrees is tested: 、 、 、…、 、…、 ； In the above formula, η0 represents the initial dilution degree of the slurry, η t总 represents the final dilution degree of the slurry, i is a positive integer, and 1≤i≤m, and m is a positive integer not less than 2.

5. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 1, characterized in that: In step (3), the micro time unit Δt does not exceed t 总 10% of.

6. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 1, characterized in that: In step (4), the dilution degree η of the slurry at all times t=iΔt is i Calculated by the following formula (2): （2）。 7. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 1, characterized in that: In step (5), the relationship between the change of the slurry rheological parameter φ and time t is calculated by the following formula (3): （3）； In the above formula (3), η i represents the dilution degree of the slurry at time t=iΔt, η low is lower than the η in step (2) i The dilution degree of an adjacent slurry; η high represents the value higher than the η in step (2) i The dilution degree of an adjacent slurry; , Represents the dilution degree of slurry η high , η low Variation of slurry rheological parameter φ with time t under .

8. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to any one of claims 1 to 7, characterized in that: In step (5), the inverse function is calculated by the following formula: 、 、…、 、…、 ； In the above formula, t represents the time required to reach a specific rheological parameter under the above-mentioned fixed slurry dilution degree, and φ represents the slurry rheological parameter.

9. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 8, characterized in that: In step (6), the increment Δφ of the slurry rheological parameter φ from time iΔt to time (i+1)Δt is calculated by the following steps: ①No. i Δ t Rheological parameters at time φ i exist η i , η i+1 The φ( t ) The corresponding horizontal axis time position on the curve, these two coordinate time positions can be expressed by inverse functions as follows: , ; ② Slurry dilution degree η i Next, micro-time unit Δ t The corresponding rheological parameter increment is determined by the following formula: ;in φ i Representative i Δ t Rheological parameters of slurry at the moment; ③ Slurry dilution degree η i+1 Next, micro-time unit Δ t The corresponding rheological parameter increment is calculated by the following formula: ;in φ i Representative i Δ t Rheological parameters of slurry at the moment; ④Slurry passes i Δ t Time to i +1)Δ t At this moment, the slurry rheological parameter increment Δ φ For the and The average value of is: 。 10. The method for calculating the rheological relationship of slurry during grouting of fractured rock mass in a submarine tunnel according to claim 9, characterized in that: In step (6), the φ i+1 Calculated by the following formula: i+1 =φ i +Δφ; where: the φ i That is, the slurry rheological parameter at the iΔt-th moment, and Δφ is the slurry rheological parameter increment.

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