CN115492177B - Method for determining optimal fly ash mixing amount of CFG pile - Google Patents
Method for determining optimal fly ash mixing amount of CFG pile Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D33/00—Testing foundations or foundation structures
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
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- E02D1/00—Investigation of foundation soil in situ
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D5/00—Bulkheads, piles, or other structural elements specially adapted to foundation engineering
- E02D5/22—Piles
- E02D5/34—Concrete or concrete-like piles cast in position ; Apparatus for making same
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02W—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO WASTEWATER TREATMENT OR WASTE MANAGEMENT
- Y02W30/00—Technologies for solid waste management
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Abstract
The invention belongs to the technical field of foundation treatment and pile foundation engineering, and relates to a method for determining the optimal fly ash mixing amount of a CFG pile, which comprises the following steps: curing the initial cementing material with the initial fly ash to prepare a first CFG pile, and carrying out field load test; monitoring the vertical ultimate bearing capacity of the first CFG pile and observing the damage mode of the pile body; changing the total doping amount of the cementing material and the doping amount of the fly ash through the destruction mode of the first CFG pile, re-piling to prepare a second CFG pile, and carrying out field load test to change the destruction mode; drawing by taking the unconfined compressive strength of the CFG pile test block as an x axis and the vertical ultimate bearing capacity of the CFG pile as a y axis, and determining the optimal fly ash doping amount; the invention provides a determination method aiming at the optimal mixing amount of the fly ash in the CFG pile, so that the vertical bearing capacity of the pile meets engineering requirements and realizes reasonable utilization of the fly ash.
Description
Technical Field
The invention belongs to the technical field of foundation treatment and pile foundation engineering, and relates to a method for determining the optimal fly ash mixing amount of a CFG pile.
Background
Along with the development of industrialization and city, the resource consumption in the industrial field of China is further increased; meanwhile, with the rapid development of the power industry, coal is used as a main fuel for power production, so that the emission of the fly ash is rapidly increased. A large amount of fly ash can fly without being treated, and serious pollution is caused to the environment; how to treat and use fly ash is a concern.
The CFG pile is a variable strength pile with certain strength, which is made up by mixing broken stone, sand and flyash with cement and adding water and using various pile-forming machines. The vertical bearing capacity of the CFG pile is affected by a plurality of factors, and the fly ash doping amount is one of the main influencing factors. Too high fly ash content can cause the pile body strength not to meet the design requirement, and too low fly ash content can waste cement and increase the economic cost. At present, no effective and reasonable determination method for the blending amount of the fly ash exists. If the mixing amount of the fly ash in the CFG pile can be scientifically and reasonably determined, the waste fly ash is consumed, the cement is saved, the strength of the pile body can be ensured, and the pile has important practical value and economic benefit.
Disclosure of Invention
The invention overcomes the defects of the prior art, provides a method for determining the optimal fly ash mixing amount of the CFG pile, and solves the problem that the fly ash mixing amount of the CFG pile in actual engineering application is uncertain.
In order to achieve the above purpose, the present invention is realized by the following technical scheme.
A method for determining the optimal fly ash mixing amount of a CFG pile comprises the following steps:
1) The method comprises the steps of presetting the total mixing amount of initial cementing materials and the mixing amount of initial fly ash in the CFG pile, designing test piles according to the preset total mixing amount of the initial cementing materials and the mixing amount of the initial fly ash, and curing to prepare the first CFG pile.
2) And testing the vertical ultimate bearing capacity of the pile body of the first CFG pile, observing the damage mode of the pile body, and determining the damage mode as pile-soil interface damage or pile body damage.
3) Adjusting the total doping amount of the cementing material and the doping amount of the fly ash based on the total doping amount of the initial cementing material and the initial doping amount of the fly ash through the damage mode observed in the step 2, re-piling to prepare a second CFG pile, and performing a field load test to change the pile-soil interface damage or the pile body damage of the first CFG pile into the pile body damage or the pile-soil interface damage of the second CFG pile; the failure mode is pile body failureThe unconfined compressive strength and the vertical ultimate bearing capacity corresponding to the CFG pile are respectively recorded as N 1 And N 2 The method comprises the steps of carrying out a first treatment on the surface of the The unconfined compressive strength and the vertical ultimate bearing capacity corresponding to the CFG pile with the failure mode of pile-soil interface failure are respectively recorded as M 1 And M 2 。
4) According to the total doping amount of the cementing material and the doping amount of the fly ash in the first CFG pile and the second CFG pile, preparing CFG pile test blocks with different fly ash doping amounts, maintaining the CFG pile test blocks, maintaining the maintaining time consistent with the maintaining time of the first CFG pile and the second CFG pile, measuring the unconfined compressive strength of the CFG pile test blocks after the CFG pile test blocks are maintained, and drawing a relation graph of the unconfined compressive strength and the fly ash doping amount.
5) Plotting is performed with unconfined compressive strength as x-axis and vertical ultimate bearing capacity as y-axis, and the cross point (M 1 ,M 2 ) To a straight line L parallel to the x-axis 1 Crossing the origin O and the point (N 1 ,N 2 ) Straight line L 2 Will be straight line L 1 And straight line L 2 And (3) marking the intersection point of the CFG pile as a point P, wherein the unconfined compressive strength corresponding to the abscissa Q of the point P is the unconfined compressive strength of the CFG pile under the optimal fly ash doping amount, and then determining the optimal fly ash doping amount of the CFG pile through the relation graph of the unconfined compressive strength and the fly ash doping amount obtained in the step 4.
Preferably, in the step 1, the total mixing amount of the initial cementing material and the mixing amount of the initial fly ash are preset according to the stratum structure and the soil body type through geological investigation of a construction site.
Preferably, in the step 3, when the first CFG pile is damaged by the pile body, the blending amount of the fly ash is further reduced until the second CFG pile is damaged by the pile-soil interface in the field load test; if the second CFG pile is not damaged at the pile-soil interface under all the fly ash doping amounts, increasing the total doping amount of the cementing material on the basis of the total doping amount of the initial cementing material, keeping the initial fly ash doping amount unchanged, and preparing the second CFG pile again until the pile-soil interface is damaged; when the first CFG pile is damaged by the pile-soil interface, the fly ash doping amount is further increased until the second CFG pile is damaged by the pile body in the field load test.
More preferably, the increasing or decreasing range of the fly ash is 1% -2% each time, and the increasing or decreasing range of the total cementing material is 4% -6% each time.
Preferably, in step 4, if the total doping amounts of the cementing materials in the first CFG pile and the second CFG pile are equal, the total doping amount of the cementing materials in the CFG pile test block is kept consistent with the total doping amount of the cementing materials in the first CFG pile and the second CFG pile;
the method comprises the steps of selecting the mixing amount of fly ash of 3 or more than 3 CFG pile test blocks, wherein the mixing amount of the fly ash of the CFG pile test blocks is selected between the mixing amounts of the fly ash in a first CFG pile and a second CFG pile, and the mixing amount of the fly ash in the first CFG pile and the second CFG pile is equal to the mixing amount of the fly ash in the first CFG pile and the second CFG pile; the increasing or decreasing amplitude of the fly ash doping amount is 1% -2% each time, the unconfined compressive strength of the CFG pile test block is measured, and a relation graph of the unconfined compressive strength and the fly ash doping amount is drawn.
Preferably, in step 4, when the pile body is damaged in the first CFG pile and the total doping amount of the cementing material in the second CFG pile with the damaged pile-soil interface is unequal to the total doping amount of the first CFG pile, first preparing a first CFG pile test block with the total doping amount of the cementing material and the doping amount of the fly ash equal to the total doping amount of the first CFG pile, and measuring the unconfined compressive strength of the first CFG pile test block;
and then preparing a second CFG pile test block with the total mixing amount of the cementing material being equal to that of a second CFG pile with the broken pile-soil interface, wherein the mixing amount of the fly ash of the second CFG pile test block is selected between the mixing amounts of the fly ash of the first CFG pile and the second CFG pile with the broken pile-soil interface, the mixing amount of the fly ash of the second CFG pile with the broken pile-soil interface is equal to that of the fly ash of the first CFG pile and the second CFG pile with the broken pile-soil interface, 3 or more than 3 fly ash mixing amounts are selected, the increasing or decreasing amplitude of the fly ash mixing amount is 1% -2% each time, measuring the unconfined compressive strength of the second CFG pile test block, and drawing a relation graph of the unconfined compressive strength and the fly ash mixing amount.
Compared with the prior art, the invention has the following beneficial effects:
the invention provides a determination method aiming at the optimal mixing amount of the fly ash in the CFG pile, so that the vertical bearing capacity of the pile meets the engineering requirement, the reasonable utilization of the fly ash is realized, the mixing amount of the fly ash in the CFG pile is more scientifically ensured to be an optimal value, the fly ash can be matched with other components together to ensure the pile body strength of the CFG pile, the waste of raw materials such as cement and the like is avoided, the engineering cost is saved, the environment is protected, and a feasible solution is provided for determining the mixing amount of the fly ash in the CFG pile in the actual engineering.
Drawings
Fig. 1 is a graph of a point P obtained by a field load test.
Fig. 2 is an unconfined compressive strength plot as described in example 1.
FIG. 3 is a point P in example 1 1 Is a graph of (c).
Fig. 4 is an unconfined compressive strength plot as described in example 2.
FIG. 5 is a point P in example 2 2 Is a graph of (c).
Fig. 6 is an unconfined compressive strength plot as described in example 3.
FIG. 7 is a point P in example 3 3 Is a graph of (c).
Detailed Description
In order to make the technical problems, technical schemes and beneficial effects to be solved more clear, the invention is further described in detail by combining the embodiments and the drawings. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention. The following describes the technical scheme of the present invention in detail with reference to examples and drawings, but the scope of protection is not limited thereto.
Example 1
A method for determining the optimal fly ash mixing amount of a CFG pile comprises the following specific steps:
step 1) survey the soil quality of a certain construction site according to the geotechnical engineering survey Specification GB50021-2001, and the result is shown in Table 1, and the soil type is known as powdery clay from Table 1.
Step 2) determining that the total doping amount of the initial cementing material in the CFG pile is 18 percent and the doping amount of the initial fly ash is 7 percent according to local construction experience, preparing a first CFG pile, and performing field load test after curing for 28 days to find that the damage mode is pile body damage and the vertical ultimate bearing capacity is 490 and kN;
and 3) further reducing the mixing amount of the fly ash, and preparing a second CFG pile. It was found that when the fly ash incorporation was reduced to 4%, the failure mode of the second CFG pile was pile-soil interface failure with a vertical ultimate bearing capacity of 540 kN.
And 4) preparing CFG pile test blocks with the total mixing amount of the cementing material of 18%, the mixing amount of the fly ash of 4%, 5%, 6% and 7% according to JGJ/T233-2011 of the cement-soil mixing ratio design rule, curing for 28 days, measuring the unconfined compressive strength of the CFG pile test blocks to be 25.32 MPa, 23.43 MPa, 21.17 MPa and 20.21MPa respectively, and drawing a graph of the relation between the unconfined compressive strength and the mixing amount of the fly ash, as shown in figure 2.
Step 5) carrying out two-dimensional drawing by taking unconfined compressive strength of the CFG pile test block as an x axis and the vertical ultimate bearing capacity of the CFG pile as a y axis, and making a straight line L parallel to the x axis by passing points (25.32, 540) 11 Passing through the origin O and the point (20.21, 490) to form a straight line L 21 Will be straight line L 11 And straight line L 21 The intersection point of (2) is denoted as point P 1 Point P 1 The value corresponding to the abscissa is 22.27 MPa, namely the unconfined compressive strength of the CFG pile under the optimal fly ash doping amount is shown in figure 3. Further from the graph of unconfined compressive strength versus fly ash loading of the CFG pile test block obtained in step 4) (fig. 2), it was determined that the optimum fly ash loading of the CFG pile was 5.51%.
Example 2
A method for determining the optimal fly ash mixing amount of a CFG pile comprises the following specific steps:
step 1) survey the soil quality of a certain construction site according to the geotechnical engineering survey Specification GB50021-2001, the result is shown in Table 2, and the soil type is known as clay from Table 2.
Step 2) determining that the total mixing amount of initial cementing materials in the CFG pile is 15% and the mixing amount of initial fly ash is 6% according to local construction experience, preparing a first CFG pile, and performing field load test after curing for 28 days to find that the damage mode is pile body damage and the vertical ultimate bearing capacity is 460 kN;
step 3) further reducing the mixing amount of the fly ash to 1%, 3% and 5% in sequence, and finding that the second CFG pile damage mode is pile body damage; the total mixing amount of the initial cementing material is increased to 20%, the mixing amount of the initial fly ash is kept to be 6%, the second CFG pile is prepared again, and the damage mode of the second CFG pile is found to be pile body damage, so that the mixing amount of the fly ash is further reduced; when the blending amount of the fly ash is reduced to 3%, the damage mode is found to be pile-soil interface damage, and the vertical ultimate bearing capacity is 590 kN.
And 4) preparing a CFG pile test block with the total mixing amount of the cementing material of 15% and the mixing amount of the fly ash of 6% according to JGJ/T233-2011 of the cement-soil mixing ratio design rule, curing for 28 days, and measuring the unconfined compressive strength of the CFG pile test block to be 18.82 MPa. CFG pile test blocks with the total doping amount of the cementing material of 20 percent and the doping amounts of 3 percent, 4 percent, 5 percent and 6 percent of the fly ash are prepared, maintained for 28 days, the unconfined compressive strengths of the CFG pile test blocks are respectively 27.12 MPa, 25.88 MPa, 23.46 MPa and 21.63MPa, and a graph of the relation between the unconfined compressive strengths and the doping amounts of the fly ash is drawn, as shown in figure 4.
Step 5) carrying out two-dimensional drawing by taking unconfined compressive strength of the CFG pile test block as an x axis and the vertical ultimate bearing capacity of the CFG pile as a y axis, and making a straight line L parallel to the x axis by a passing point (27.12, 590) 13 Straight line L passing through origin O and point (18.82, 460) 23 Will be straight line L 13 And straight line L 23 The intersection point of (2) is denoted as point P 3 Point P 3 The value corresponding to the abscissa is 24.14 MPa, namely the unconfined compressive strength of the CFG pile under the optimal fly ash doping amount is shown in figure 5. Advancing oneThe optimum fly ash incorporation of the CFG pile was determined to be 4.71% by plotting the unconfined compressive strength of the CFG pile block obtained in step 4) against the fly ash incorporation (FIG. 4).
Example 3
A method for determining the optimal fly ash mixing amount of a CFG pile comprises the following specific steps:
step 1) survey the soil quality of a certain construction site according to the geotechnical engineering survey Specification GB50021-2001, the result is shown in Table 3, and the soil type is known as powdery clay from Table 3.
And 2) determining that the total mixing amount of the initial cementing material in the CFG pile is 25 percent and the mixing amount of the initial fly ash is 5 percent according to local construction experience, preparing a first CFG pile, and performing field load test after curing for 28 days to find that the damage mode is pile-soil interface damage and the vertical ultimate bearing capacity is 810 and kN.
And 3) further increasing the mixing amount of the fly ash to prepare a second CFG pile. It was found that when the fly ash doping amount was increased to 8%, the failure mode of the second CFG pile was pile body failure, and the vertical ultimate bearing capacity was 730 kN.
And 4) preparing CFG pile test blocks with the total doping amount of the cementing material of 25%, the doping amount of the fly ash of 5%, 6%, 7% and 8% according to JGJ/T233-2011 of the cement-soil mixing ratio design rule, curing for 28 days, measuring the unconfined compressive strength of the CFG pile test blocks to be 28.93 MPa, 26.48 MPa, 25.37 MPa and 22.61MPa respectively, and drawing a relation graph of the unconfined compressive strength and the doping amount of the fly ash, wherein the graph is shown in figure 6.
Step 5) carrying out two-dimensional drawing by taking unconfined compressive strength of the CFG pile test block as an x axis and the vertical ultimate bearing capacity of the CFG pile as a y axis, and making a straight line L parallel to the x axis by passing points (28.93, 810) 12 Passing through the origin O and the point (22.61, 730) to form a straight line L 22 Will be straight line L 12 And straight line L 22 The intersection point of (2) is denoted as point P 2 Point P 2 The value corresponding to the abscissa is 25.09MPa, which is the unconfined compressive strength of the CFG pile at the optimum fly ash loading, is shown in fig. 7. Further from the graph of unconfined compressive strength versus fly ash loading of the CFG pile test block obtained in step 4) (fig. 6), it was determined that the optimum fly ash loading of the CFG pile was 7.08%.
While the invention has been described in detail in connection with specific preferred embodiments thereof, it is not to be construed as limited thereto, but rather as a result of a simple deduction or substitution by a person having ordinary skill in the art to which the invention pertains without departing from the scope of the invention defined by the appended claims.
Claims (3)
1. The method for determining the optimal fly ash doping amount of the CFG pile is characterized by comprising the following steps of:
1) Presetting the total mixing amount of initial cementing materials and the mixing amount of initial fly ash in the CFG pile, wherein the cementing materials comprise cement and the fly ash, and designing a test pile and curing to prepare a first CFG pile according to the preset total mixing amount of the initial cementing materials and the preset mixing amount of the initial fly ash;
2) Testing the vertical ultimate bearing capacity of the first CFG pile body, observing the damage mode of the pile body, and determining the damage mode as pile-soil interface damage or pile body damage;
3) Adjusting the total doping amount of the cementing material and the doping amount of the fly ash based on the total doping amount of the initial cementing material and the initial doping amount of the fly ash through the damage mode observed in the step 2, re-piling to prepare a second CFG pile, and performing a field load test to change the pile-soil interface damage or the pile body damage of the first CFG pile into the pile body damage or the pile-soil interface damage of the second CFG pile; the unconfined compressive strength and the vertical ultimate bearing capacity corresponding to the CFG pile with the failure mode of pile body failure are respectively recorded as N 1 And N 2 The method comprises the steps of carrying out a first treatment on the surface of the The unconfined compressive strength and the vertical ultimate bearing capacity corresponding to the CFG pile with the failure mode of pile-soil interface failure are respectively recorded as M 1 And M 2 The method comprises the steps of carrying out a first treatment on the surface of the When the first CFG pile occurs, the pile bodyThe coal ash doping amount is further reduced until the second CFG pile is damaged at the pile-soil interface in the field load test; if the second CFG pile is not damaged at the pile-soil interface under all the fly ash doping amounts, increasing the total doping amount of the cementing material on the basis of the total doping amount of the initial cementing material, keeping the initial fly ash doping amount unchanged, and preparing the second CFG pile again until the pile-soil interface is damaged; when the first CFG pile is damaged by the pile-soil interface, the fly ash doping amount is further increased until the second CFG pile is damaged by the pile body in the field load test;
4) According to the total doping amount of the cementing materials and the doping amount of the fly ash in the first CFG pile and the second CFG pile, preparing CFG pile test blocks with different doping amounts of the fly ash, maintaining the CFG pile test blocks, keeping the maintenance time consistent with the maintenance time of the first CFG pile and the second CFG pile, measuring the unconfined compressive strength of the CFG pile test blocks after the CFG pile test blocks are maintained, and drawing a relation graph of the unconfined compressive strength and the doping amount of the fly ash;
if the total doping amount of the cementing materials in the first CFG pile and the second CFG pile is equal, the total doping amount of the cementing materials of the CFG pile test block is consistent with the total doping amount of the cementing materials in the first CFG pile and the second CFG pile;
the method comprises the steps of selecting the mixing amount of fly ash of more than 3 CFG pile test blocks, wherein the mixing amount of the fly ash of the CFG pile test blocks is selected between the mixing amounts of the fly ash in a first CFG pile and a second CFG pile, and the mixing amount of the fly ash in the first CFG pile and the second CFG pile is equal to the mixing amount of the fly ash in the first CFG pile and the second CFG pile; the increasing or decreasing amplitude of the fly ash doping amount is 1% -2% each time, the unconfined compressive strength of the CFG pile test block is measured, and a relation graph of the unconfined compressive strength and the fly ash doping amount is drawn;
when the first CFG pile is damaged by the pile body, the total doping amount of the cementing material in the second CFG pile with the damaged pile-soil interface is unequal to that of the first CFG pile, firstly preparing a first CFG pile test block with the total doping amount of the cementing material and the doping amount of the fly ash equal to that of the first CFG pile, and measuring the unconfined compressive strength of the first CFG pile test block;
then preparing a second CFG pile test block with the total mixing amount of the cementing material being equal to that of a second CFG pile with the broken pile-soil interface, wherein the mixing amount of the fly ash of the second CFG pile test block is selected between the mixing amounts of the fly ash of the first CFG pile and the second CFG pile with the broken pile-soil interface, the mixing amount of the fly ash of the second CFG pile with the broken pile-soil interface is equal to that of the fly ash of the first CFG pile and the second CFG pile with the broken pile-soil interface, more than 3 fly ash mixing amounts are selected, the increasing or decreasing amplitude of the fly ash mixing amount is 1% -2% each time, measuring the unconfined compressive strength of the second CFG pile test block, and drawing a relation graph of the unconfined compressive strength and the fly ash mixing amount;
5) Plotting is performed with unconfined compressive strength as x-axis and vertical ultimate bearing capacity as y-axis, and the cross point (M 1 ,M 2 ) To a straight line L parallel to the x-axis 1 Crossing the origin O and the point (N 1 ,N 2 ) Straight line L 2 Will be straight line L 1 And straight line L 2 And (3) marking the intersection point of the CFG pile as a point P, wherein the unconfined compressive strength corresponding to the abscissa Q of the point P is the unconfined compressive strength of the CFG pile under the optimal fly ash doping amount, and then determining the optimal fly ash doping amount of the CFG pile through the relation graph of the unconfined compressive strength and the fly ash doping amount obtained in the step 4.
2. The method for determining the optimal fly ash mixing amount of the CFG pile according to claim 1, wherein the step 1 is to preset the total mixing amount of the initial cementing material and the initial fly ash mixing amount according to the stratum structure and the soil type through geological investigation of a construction site.
3. The method for determining the optimal fly ash mixing amount of the CFG pile according to claim 1, wherein the increasing or decreasing range of the fly ash mixing amount is 1% -2% each time, and the increasing or decreasing range of the total cementing material mixing amount is 4% -6% each time.
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CN111205062A (en) * | 2020-01-07 | 2020-05-29 | 中北大学 | Method for determining optimal proportion of 3D printing high-strength cement-based material and admixture |
WO2022121749A1 (en) * | 2021-01-13 | 2022-06-16 | 中国长江三峡集团有限公司 | Method for calculating vertical bearing time-varying effect of single pile with consideration to non-darcy consolidation of soil body |
CN114662296A (en) * | 2022-03-10 | 2022-06-24 | 中北大学 | Method for determining optimal cement mixing amount of cement-soil stiff composite pile |
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Patent Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
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CN111205062A (en) * | 2020-01-07 | 2020-05-29 | 中北大学 | Method for determining optimal proportion of 3D printing high-strength cement-based material and admixture |
WO2022121749A1 (en) * | 2021-01-13 | 2022-06-16 | 中国长江三峡集团有限公司 | Method for calculating vertical bearing time-varying effect of single pile with consideration to non-darcy consolidation of soil body |
CN114662296A (en) * | 2022-03-10 | 2022-06-24 | 中北大学 | Method for determining optimal cement mixing amount of cement-soil stiff composite pile |
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