CN116541940A - Consolidation degree calculating method for different acting time of grouping drainage bodies - Google Patents
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- 238000007596 consolidation process Methods 0.000 title claims abstract description 104
- 238000000034 method Methods 0.000 title claims abstract description 32
- 238000004364 calculation method Methods 0.000 claims abstract description 55
- 230000009471 action Effects 0.000 claims abstract description 31
- 230000000694 effects Effects 0.000 claims abstract description 6
- 229910000831 Steel Inorganic materials 0.000 claims abstract description 3
- 239000010959 steel Substances 0.000 claims abstract description 3
- 238000012937 correction Methods 0.000 claims description 21
- 238000010276 construction Methods 0.000 claims description 11
- 230000001052 transient effect Effects 0.000 claims description 2
- 230000007704 transition Effects 0.000 claims description 2
- 238000009825 accumulation Methods 0.000 abstract 1
- 239000002689 soil Substances 0.000 description 21
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 21
- 238000013461 design Methods 0.000 description 6
- 230000003068 static effect Effects 0.000 description 6
- 230000003111 delayed effect Effects 0.000 description 5
- 239000004576 sand Substances 0.000 description 5
- 239000011148 porous material Substances 0.000 description 4
- 239000000463 material Substances 0.000 description 3
- 230000035699 permeability Effects 0.000 description 3
- 238000005056 compaction Methods 0.000 description 2
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- 230000008023 solidification Effects 0.000 description 2
- 239000004575 stone Substances 0.000 description 2
- 238000004642 transportation engineering Methods 0.000 description 2
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Abstract
The invention discloses a consolidation degree calculation method for different acting time of a grouping drainage body, which comprises the following steps: setting a graded loading and loading time plan of a foundation drainage pre-pressing treatment cross section, and setting arrangement ranges and conventional parameters of a plurality of groups of vertical drainage bodies in the cross section direction; according to the time of the action of each group of vertical drainage bodies, the delay time of each group of vertical drainage bodies is setThe method comprises the steps of carrying out a first treatment on the surface of the Calculating the target time of consolidation degree according to the requirementtCalculating each group of vertical drainage bodies with positionsCorrecting consolidation degree calculation time under independent loading effect of each stageThe method comprises the steps of carrying out a first treatment on the surface of the Will beSubstituting the general consolidation degree calculation formula to calculate the target time under the independent action of each stage of loadingtThe consolidation degree of each stage under the independent action of loading is corrected according to the ratio or weight of the load of each stage to the total load, and the target time is obtained by accumulationtIs used for the total consolidation of the steel. The invention can greatly improve the efficiency and accuracy of calculating the consolidation degree of the foundation of the combined section of the drainage body arranged in a staged manner.
Description
Technical Field
The invention relates to the technical field of geotechnical engineering calculation. More particularly, the present invention relates to a consolidation degree calculation method for different times of action of a group drainage body.
Background
A plastic drainage plate or a sand well is arranged in a foundation, especially a soft soil foundation, to serve as a vertical drainage body, and the layered and graded backfill earth and stone is used as load pre-compaction, so that free water in pores of foundation soil is discharged from the vertical drainage body (namely, the foundation soil is solidified), the compressibility of the soil is reduced, the strength of the soil is improved, and the method is a common method for treating the soft soil foundation. In order to ensure the stability of the foundation at each backfill loading, it is often necessary to design a construction sequence as follows: firstly, the 1 st group of drainage bodies are arranged on the outer side, then the backfill earth and stone is used as load for prepressing for a period of time, after the foundation in the range is consolidated and the strength is improved, the 2 nd group of drainage bodies are backfilled and arranged on the inner side, and then the prepressing is carried out; design group 3 or more when necessary the water draining body and the loading sequence are arranged in multiple groups. Meanwhile, the multiple groups of drainage bodies may be discontinuously arranged in the section direction, have different types and particularly have different acting times, namely, different delay times for the grouped drainage bodies to act exist.
The degree of pre-press drainage or the degree of pore water pressure dissipation is referred to as consolidation and generally varies over time. For the foundation consolidation degree calculation of the complex combined drainage pre-pressing section, the time difference of the action of the grouped drainage bodies is not considered by the conventional engineering software, the one-time modeling and the one-time calculation cannot be performed, the model needs to be modified and calculated in a divided manner, the calculation modeling and the calculation result are very inconvenient to use.
Disclosure of Invention
The object of the present invention is to provide a method for calculating consolidation degree of different operation time of a group drainage body by counting delay operation time of the group drainage bodyFor the target time required to determine the degree of consolidationtCorrection is performed to obtain the time of actual calculation use of the group drainage body +.>The method can be used for realizing one-time modeling and one-time calculation in calculation software, thereby greatly improving the calculation efficiency and the accuracy of calculation results.
To achieve these objects and other advantages and in accordance with the purpose of the invention, there is provided a consolidation degree calculating method for grouping drainage bodies to function at different times, comprising:
step one, setting a hierarchical loading and loading time plan of a foundation drainage pre-pressing treatment cross section according to engineering construction requirements, setting arrangement ranges of a plurality of groups of vertical drainage bodies in the cross section direction and conventional parameters, and implementing according to the plan, wherein the conventional parameters comprise parameters required by subsequent calculation of consolidation degree;
step two, according to the time of the action of each group of vertical drainage bodies, setting the delay time of each group of vertical drainage bodies，jGroup number referring to vertical drainage bodies, wherein the delay time of the first group of vertical drainage bodies +.>Delay time of the vertical drainage bodies of the subsequent groups +.>For a period of time from when the first set of vertical drainage bodies is active to when the set of vertical drainage bodies is active;
step three, calculating the target time of the consolidation degree according to the requirementtCalculating delay time of vertical drainage body with positionThe consolidation degree calculation time under the independent action of each stage of loading is corrected by the following method:
wherein,,-the firstiThe start time of stage load loading; />-the firstiCompletion time of stage load loading, +.>-calculating a correction time for each stage of loading of consolidation degree under independent action;
step four, calculating and correcting time of consolidation degree under independent loading effect of each stageSubstituting the general consolidation degree calculation formula to calculate the target time under the independent action of each stage of loadingtIs a degree of consolidation of (2); then each stage of loading is independently acted on at the target timetCorrecting according to the ratio or weight of each level load to total load, and accumulating to obtain target timetIs used for the total consolidation of the steel.
Preferably, in the consolidation degree calculating method with different acting times of the group drainage bodies, the multiple groups of vertical drainage bodies in the first step are multiple groups of vertical drainage bodies which are arranged in the cross section direction and are of the same or different types and act simultaneously or not simultaneously.
Preferably, in the consolidation degree calculating method with different working times of the group drainage bodies, for calculating the radial consolidation degree of a single point at any depth in the foundation under the condition of large area load, the general consolidation degree calculating formula is as follows:
；
wherein:stepwise application of load per stage transitions to transient application conditions, and (2)>Consolidation degree at the time;z-calculating a site depth;H-calculating the vertical distance from the non-draining bottom surface to the draining top surface corresponding to the position;e-euler constant; />-radial consolidation time factor; positive integerk= 1,2,3，···；
The formula for calculating the total consolidation is:
；
wherein:target timetLoading the total consolidation degree of the combined action in a grading way at any time; />-the firstiStage additional load, when calculating consolidation degree during loading,/->Modified to->，/>To correspond to the target timetLoad at moment;m-loading the total number of stages.
Preferably, in the consolidation degree calculating method with different working times of the group drainage bodies, the step-one setting of the size and the geometric position of each stage of load is included in the stage loading plan of the cross section of the pre-compaction treatment of the foundation drainage.
The invention at least comprises the following beneficial effects:
the invention takes into account the delayed action time of the packet drainage bodyFor the target time required to determine the degree of consolidationtCorrection is performed to obtain the time of actual calculation use of the group drainage body +.>The method can be used for realizing one-time modeling and one-time calculation in calculation software, thereby greatly improving the calculation efficiency and the accuracy of calculation results.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention.
Drawings
FIG. 1 is a time taken for consolidation calculation under two-stage loading independent action in accordance with one embodiment of the present inventionIs a modified schematic diagram of (2);
FIG. 2 is a cross-sectional view of two sets of drainage body engineering examples according to one embodiment of the present invention;
FIG. 3 is a section loading plan view of an engineering example according to one embodiment of the invention.
Detailed Description
The present invention is described in further detail below with reference to the drawings to enable those skilled in the art to practice the invention by referring to the description.
A consolidation degree calculating method for different working time of grouping drainage bodies comprises the following steps:
s1: according to engineering construction needs, setting a grading loading and loading time plan of a foundation drainage pre-pressing treatment cross section, including setting the size, geometric position and loading time of each grade of load, wherein the grading load size and loading time plan are shown in figure 3, and setting the arrangement range (shown in figure 2) of the cross section direction grouping vertical drainage bodies (not less than 2 groups) and conventional parameters (including parameters required for calculating consolidation degree later, and determining when the grouping drainage bodies are arranged). Wherein: (1) The set hierarchical loading and time plan is the basis of consolidation degree calculation or calculation thereof; (2) The geometric position and load size of the graded loading are also used for calculating the additional load of any part in the foundation; (3) The arrangement range and the construction time of the cross section direction grouping vertical drainage bodies are set according to the geometric position of the graded loading, the stability of the graded loading foundation and the like; (4) The plane arrangement form of the drainage bodies, the interval between the two drainage bodies, the equivalent diameter of the single drainage body and other conventional parameters are used for calculating the consolidation degree.
S2: the special parameter-delay time of the group vertical drainage body is set according to the acting time of the group drainage body. Wherein the time point of the 1 st group of water draining bodies which are operated and operated at the earliest is the time axis '0' point, and the delay time of the 1 st group of water draining bodiesDelay time of subsequent packet drainage body +.>(subscript)jA group number referring to the drainage bodies) is equal to a period of time from the time axis "0" point to the time when the group of drainage bodies functions.
S3: calculating the target time of consolidation degree according to the need at any position in the influence area of a certain group of drainage bodiestCalculating the delay time of the action of the separated vertical drainage bodies at the positionsCorrecting to obtain consolidation degree calculation time under independent loading effect of each stage>(if the calculation site is within the range of the first group of drainage bodies, correcting the consolidation degree calculation time under the independent loading of each stage according to the delay time of the first group of drainage bodies +.>If the calculated position is in the range of the second group of drainage bodies, correcting the consolidation degree calculation time under the independent loading action of each stage according to the delay time of the second group of drainage bodies>Other groups, etc.), the correction method is as follows:
；
in the above formula:t-a target time required to obtain the degree of consolidation;-the firstjDelay time of the group vertical drainage body; />-the firstiThe start time of stage load loading; />-the firstiCompletion time of stage loading.
It should be noted that when the delay time is not considered or is zero, i.eWhen the above time correction formula is used, the time correction formula can be degraded or simplified into the following general time correction formula without considering delay time:
；
s4, calculating the total consolidation degree of the target time, wherein the method comprises the following two steps:
s41: the correction time to be obtainedThe following general consolidation formula with independent action is substituted for each stage of loading. Only the single point radial consolidation formula for any depth in the foundation under large area loading is listed here. The following consolidation formula can be seen in Xie Kanghe paper "analysis theory of sand foundation consolidation under equal strain" (paper, journal of geotechnical engineering, volume 11, 2 nd phase 1989):
；
in the above formula:-calculating the moment +.>Consolidation degree at the time; positive integerk= 1,2,3，···；z-calculating the site depth (from the drainage plane);H-calculating the vertical distance from the non-draining bottom surface to the draining top surface corresponding to the position; exponentiation bottomeThe natural constant, also known as Euler constant, is an infinite acyclic fraction, the value of which is approximatelye≈ 2.718；/>The radial consolidation time factor can be calculated according to the « water engineering foundation design specification (JTS-147-2017) 7.2.8. Time factor->The calculation of (2) can also be performed according to Xie Kang and (1989) paper "analysis theory of sand well foundation consolidation under equal strain conditions". />The calculation of the water drainage body is carried out by utilizing a series of parameters such as the plane arrangement form of the water drainage bodies, the interval between the two water drainage bodies, the equivalent diameter of a single water drainage body, the permeability coefficient of soil body and the water drainage body and the like, and the parameters are determined when the group water drainage bodies are arranged.
The single point radial consolidation formula listed in this step is just one example calculation formula for one case. For other calculation conditions such as non-large area load, layering average consolidation degree and the like, the correction time of the invention is adoptedSubstituting the formula to calculate.
S42: the consolidation degree of independent action is loaded for each stage calculated in the step S41Correcting according to the ratio or weight of the load of each stage to the total load, and accumulating to obtain the total consolidation degree. The general correction method of the grading loading consolidation degree can be used according to the 8.5.10 item of the design Specification of Water transportation engineering foundation (JTS-147-2017), and the formula is as follows:
；
in the above formula:target timetLoading the total consolidation degree of the combined action in a grading way at any time; />-the firstiStage additional load (or additional stress), when calculating consolidation degree during loading, the +.>Should be changed to->，/>To correspond totLoad at time->；m-loading the total number of stages.
FIG. 1 shows the time used for consolidation calculation under the independent action of each stage of loading in the case of two stages of loadingIs a modified schematic of (c). The load of each stage is respectively +.>And->。/>And->Is any target time that requires calculation of consolidation. At->Time of day, consider delay time->Is 1 st class load->The consolidation degree calculation time of independent action is +.>Level 2 loadThe consolidation degree calculation time of independent action is +.>The method comprises the steps of carrying out a first treatment on the surface of the For->The symbols at the time point are expressed in the same meaning.
For the engineering example of fig. 2, the following is described:
in fig. 3: "(1)", "(2)", and "(3)" indicate sand or other material fillers and their corresponding construction sequence numbers; the 'drainage bodies 1' and the 'drainage bodies 2' represent two groups of vertical drainage bodies and the corresponding arrangement range thereof, namely two groups of vertical line segments which are schematically shown in the corresponding areas, and the drainage bodies are used for draining pore water in soil; ""means a soil block without delayed consolidation in the area of" drainage 1"," -a->"means a soil block with delayed consolidation in the area of" drainage body 2 ".
Fig. 2 generally expresses that: backfilling sand or other materials such as (1) - (3) on the undisturbed foundation, and solidifying the soil body by utilizing the gravity of the materials to squeeze the soil body and the drainage effect of the drainage body.
In FIG. 2, the construction plan of the filling bodies (1) to (3) is shown in FIG. 3. In fig. 3: (1) The loading start and end times of the level 1 load "(1)" are respectively、/>The method comprises the steps of carrying out a first treatment on the surface of the (2) The loading start and end times of the level 2 load "(2)" are +.>，The method comprises the steps of carrying out a first treatment on the surface of the (3) The loading start and end times of the level 3 load "(3)" are +.>，/>(where the symbol subscript represents the load stage, superscript 1 represents the load start time, superscript 2 represents the load finish time); (4) The interval between two stages of loading is the static pressure time, e.g., the static pressure time between stage 1 loading and stage 2 loading is 30-1=29 days, and so on.
In fig. 2 and 3: the "water drainage body 1" is arranged on the working surface of the "water drainage body 1" formed after the construction of the filling body "(1)", and the "water drainage body 1" starts to work at the moment, namely, starts to work on the day "0" corresponding to the loading plan of fig. 3.
In fig. 2 and 3: and (3) static pressure is carried out for 29 days under the action of the filling body (1) and the drainage body (1), the soil body is solidified and the strength is improved, the stability of the foundation calculated according to the solidification degree and the strength improvement condition at the moment meets the standard requirement, and the filling body (2) is applied.
In fig. 2 and 3: static pressure is carried out for 15 days under the action of the filling body (1), the filling body (2) and the drainage body (1), soil body is solidified and strength is improved, foundation stability calculated according to the solidification degree and strength improvement condition at the moment meets the standard requirement, and the filling body (3) is applied.
In fig. 2 and 3: under the combined action of the stacking bodies (1) - (3) and the water draining bodies (1-2), the static pressure is continued, the time when the static pressure is ended is determined according to the consolidation degree and other time required by calculation, and other subsequent procedures are carried out.
In fig. 2 and 3: the "drainage body 2" is carried out after the formation of the working surface by sand-filling "(3)" construction, i.e. it is carried out starting on day 47 corresponding to the loading plan of fig. 3; the "drainage body 2" was activated 47 days later than the "drainage body 1".
The consolidation degree calculating method for the two groups of drainage bodies with different working time comprises the following steps:
step S1: according to engineering construction needs, the arrangement ranges of the cross section graded loading and grouping vertical drainage bodies of the foundation drainage pre-pressing treatment are set as shown in figure 2, and the graded load size and loading time plan are set as shown in figure 3. Parameters such as the plane arrangement form of the drainage bodies, the interval between the two drainage bodies, the equivalent diameter of a single drainage body, the permeability coefficient of the drainage bodies and the like are determined when the grouping drainage bodies are arranged; parameters such as soil permeability coefficient are obtained in the geological investigation stage before design.
Step S2: and setting delay time of each group of vertical drainage bodies. Delay time of "drainage body 1" which is the earliest construction and functionsDelay time of "drainage body 2" for post construction->And (3) days.
Step S3: for a target time for which the consolidation degree needs to be calculatedtCorrecting to obtain consolidation degree calculation time under independent loading effect of each stageThe correction method is as follows:
；
the data in fig. 2 and 3: (1)，/>；/>，/>；/>，/>；/>，/>. Calculating time at targett=31 days,tFor example, in the calculation of the non-delayed consolidation +.>Soil block with delayed consolidation>When the consolidation degree of the soil block is, the correction time of each stage of loading independent action is +.>The results of (2) are shown in tables 1 and 2.
TABLE 1 "Table 1""soil block>Correction time->Results of (3)
TABLE 2 "Table 2""soil block>Results of correction time
For comparison taking into account delay time, i.eAnd +.>Influence on consolidation degree calculation result, selectTaking the +.>The point a in the block is used as the calculation part. (1) Calculating the depth of the partzVertical distance from non-draining bottom surface to draining top surfaceHThe ratio of (2) isz/H=2/3; (2) The position and the size of the graded loading according to fig. 2 and 3 are calculated by the additional stress to obtain the +.>、/>、/>Total load ofThe method comprises the steps of carrying out a first treatment on the surface of the (3) According to the drainage body parameter and the soil body parameter, calculating the radial consolidation time factor according to 7.2.8 of the design Specification of Water transport engineering Foundation (JTS-147-2017) to obtain +.>. Time factor->The calculation of (a) can also be carried out according to Xie Kanghe paper (paper sources: journal of geotechnical engineering, 1989, volume 11, 2 nd); (4) Target calculation timetTime correction by considering delay time as actual application +.>The results are shown in Table 3.
Table 3 delay considered and delay time not considered correction timeResults of (3)
Step S4: and calculating the total consolidation degree of the target time, and dividing the total consolidation degree into two small steps.
Step S41: the correction time to be obtainedSubstituting the following general consolidation formula to calculate the consolidation degree of each stage of loading under the independent action at the target time:
。
step S42: correcting according to the ratio of each level load to the total load, accumulating to obtain the total consolidation degree, and correcting the consolidation degree by grading loading according to the general formula:
。
in accordance with the above data and method steps, point A in FIG. 2tThe calculation results for 75 days are: taking into account the delay time, i.e.Is +.>Irrespective of delay time ∈>Is +.>. And the measured consolidation degree calculated by pore water pressure observation on site is 41.3 percent.
From the above calculation results, it can be seen that: taking into account the delay time of the "drainage body 2", namelyThe relative deviation from the measured value, which affects the calculation, is (43.8-41.3)/41.3=6%; irrespective of the delay time influence of the "drainage body 2", i.e. +.>The relative deviation of the consolidation degree from the measured value was (55.4-41.3)/41.3=34%. The deviation of the calculation result which does not consider the influence of the delay time of the 'water drainage body 2' is too large, and the calculation result does not accord with engineering practice; the calculation result considering the influence of the delay time of the "drainage body 2" is closer to reality.
The existing common engineering software, if adopting one-time modeling, calculates the case once without considering the delay influence of the 'drainage body 2', namelyIs a false result of (a). The method can be used as a software algorithm to effectively solve the problem of one-time modeling calculation of the combined section.
If 3 or more groups of drainage bodies which are active at different time exist, calculating any target time of the soil block in the influence range of each group of drainage bodiestAnd (3) when the consolidation degree is calculated, the time correction and consolidation degree calculation under the independent action of each stage of loading are performed by analogy. Only according to the target timetFirst, thejDelay time of group vertical drainage bodyFirst, theiStart time of stage load loading->First, theiCompletion time of stage load loading->According to the magnitude relation of the target time of the time correction formulatGet correction time +.>And substituting the consolidation degree into a general calculation formula.
Although embodiments of the present invention have been disclosed above, it is not limited to the details and embodiments shown and described, it is well suited to various fields of use for which the invention would be readily apparent to those skilled in the art, and accordingly, the invention is not limited to the specific details and illustrations shown and described herein, without departing from the general concepts defined in the claims and their equivalents.
Claims (4)
1. The method for calculating the consolidation degree of the grouping drainage bodies with different working time is characterized by comprising the following steps:
step one, setting a hierarchical loading and loading time plan of a foundation drainage pre-pressing treatment cross section according to engineering construction requirements, setting arrangement ranges of a plurality of groups of vertical drainage bodies in the cross section direction and conventional parameters, and implementing according to the plan, wherein the conventional parameters comprise parameters required by subsequent calculation of consolidation degree;
step two, according to the time of the action of each group of vertical drainage bodies, setting the delay time of each group of vertical drainage bodies，jGroup number referring to vertical drainage bodies, wherein the delay time of the first group of vertical drainage bodies +.>Delay time of the vertical drainage bodies of the subsequent groups +.>For a period of time from when the first set of vertical drainage bodies is active to when the set of vertical drainage bodies is active;
step three, calculating the target time of the consolidation degree according to the requirementtCalculating delay time of vertical drainage body with positionThe consolidation degree calculation time under the independent action of each stage of loading is corrected by the following method:
wherein,,-the firstiThe start time of stage load loading; />-the firstiCompletion time of stage load loading, +.>-calculating a correction time for each stage of loading of consolidation degree under independent action;
step four, calculating and correcting time of consolidation degree under independent loading effect of each stageSubstituting the general consolidation degree calculation formula to calculate the target time under the independent action of each stage of loadingtIs a degree of consolidation of (2); then each stage of loading is independently acted on at the target timetCorrecting according to the ratio or weight of each level load to total load, and accumulating to obtain target timetIs used for the total consolidation of the steel.
2. The method for calculating the consolidation degree of different acting times of the group drainage bodies according to claim 1, wherein the plurality of groups of vertical drainage bodies in the first step are the same or different types of vertical drainage bodies which are arranged in the cross section direction and act simultaneously or not simultaneously.
3. The method for calculating the consolidation degree of different working times of the grouping drainage bodies according to claim 1, wherein for calculating the radial consolidation degree of a single point at any depth in a foundation under a large area load, the general consolidation degree calculation formula is as follows:
；
wherein:stepwise application of load per stage transitions to transient application conditions, and (2)>Consolidation degree at the time;z-calculating a site depth;H-calculating the vertical distance from the non-draining bottom surface to the draining top surface corresponding to the position;e -euler constant; />-radial consolidation time factor; positive integerk = 1,2,3，···；
The formula for calculating the total consolidation is:
；
wherein:target timetLoading the total consolidation degree of the combined action in a grading way at any time; />-the firstiStage additional load, when calculating consolidation degree during loading,/->Modified to->，/>To correspond to the target timetLoad at moment;m-loading the total number of stages.
4. The method for calculating the consolidation degree of different working times of the group drainage bodies according to claim 1, wherein the step-one setting of the foundation drainage pre-pressing cross section is a step-by-step loading plan comprising the setting of the load size and geometric position of each step.
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