CN108491575A - A kind of computational methods for Side Slope Safety Coefficient of being paddled based on digital terrain progress reservoir - Google Patents
A kind of computational methods for Side Slope Safety Coefficient of being paddled based on digital terrain progress reservoir Download PDFInfo
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Abstract
A kind of computational methods for Side Slope Safety Coefficient of being paddled based on digital terrain progress reservoir, are included the following steps：Based on digital terrain, profile drawing line builds side slope two-dimensional model by hatching；It determines the soil body layered scheme on vertical direction, and determines the Soil Parameters per layer soil body, Soil Parameters include：The thickness of the layer, the unit weight of soil layer, pore water pressure, the cohesive strength of soil layer, the internal friction angle of soil layer；It determines the native splitting scheme in horizontal direction, and determines the slide angle of each native item；Safety coefficient is calculated based on two-dimentional Bishop methods.This method is by GIS software platform, in such a way that ArcGIS Engine secondary development generates plug-in package, realize side slope modeling calculated with safety coefficient it is integrated.For this method is compared with conventional method, avoids side slope modeling and safety coefficient calculates the situation mutually isolated, eliminate data importing and derived intermediate link, also can apply to region bank slump risk assessment for safety coefficient result of calculation and provide premise.
Description
The present invention relates to Underwater Slope stability analysis technical fields, and in particular to one kind carrying out reservoir based on digital terrain
The computational methods for Side Slope Safety Coefficient of paddling.
Background technology
In Analysis of Slope Stability, most widely used is still simple and practical limit equilibrium analysis method.Although
Limit equilibrium method does not account for the stress-strain relationship of ground, but computational methods are simple compared with other methods, being capable of quick obtaining
Side Slope Safety Coefficient value, therefore the method is still that the main stream approach of slope stability analysis is carried out in engineering.In existing technical side
In method, side slope modeling is detached with the calculating of safety coefficient, i.e., is exported cross-sectional data by digital terrain, then import numerical value
Software for calculation carries out safety coefficient calculating, and computational efficiency is relatively low.
Invention content
The technical problem to be solved by the present invention is to, in existing technical method, the calculating of side slope modeling and safety coefficient
It is separation, and data import and derived intermediate link is complicated, computational efficiency is relatively low.
In order to solve the above technical problems, the present invention uses following technical scheme：
A kind of computational methods for Side Slope Safety Coefficient of being paddled based on digital terrain progress reservoir, are included the following steps：
(1) it is based on digital terrain, profile drawing line builds side slope two-dimensional model by hatching；
(2) it determines the soil body layered scheme on vertical direction, and determines the Soil Parameters per layer soil body, Soil Parameters packet
It includes：The unit weight γ of soil layermi, pore water pressure uili, soil layer cohesive strength ci, soil layer internal friction angle
(3) it determines the native splitting scheme in horizontal direction, and determines the slide angle α of each native itemi；
(4) two dimension Bishop methods are based on and calculate safety coefficientWherein, αiFor sliding
Angle,biFor native width, WiConduct oneself with dignity for native item.
Described in step (1) based on digital terrain, profile drawing line specifically includes：
It paddles within the scope of side slope polygon in reservoir, draws figure sectility upper thread A'B' along main glide direction, obtained according to A'B'
Obtain side slope terrain section line AB, wherein figure sectility upper thread A'B' is projections of the side slope terrain section line AB on two dimensional surface, is thrown
Image method includes：X/Y plane is being divided into two half-planes up and down by the straight line where figure sectility upper thread A'B', by line segment
A'B' is equidistantly divided, and one group of cut-point is obtained, and the height of its position can be obtained by interpolation calculation for the cut-point
Journey, using these height values as distance, in conjunction with the angle along the vertical directions A'B', you can construct the original drawn on lower half-plane
One group of point in beginning slope surface obtains side slope terrain section line AB according to this group point.
Soil body layered scheme on vertical direction described in step (2) specifically includes：
Soil mass property, normal pool level line, the skid wire for side slope of being paddled according to reservoir, by the side slope two-dimensional in step (1)
Model carries out the soil body layering of the soil body in the vertical direction；For the soil body of homogeneous, the soil body is divided according to reservoir filling bit line
For waterborne and underwater two parts；For non-homogeneous soil, soil layer division is carried out according to soil layer line of demarcation and water storage bit line.
I soil items dead weight Wi=bi(γ1ih1i+γ2ih2i+...+γmihmi), wherein biFor native width, hmiFor i soil m
The thickness of the layer, γmiFor the unit weight of m soil layers；The unit weight γ of soil layermiDetermination method it is as follows：By figure sectility upper thread A'B' Shang couple
On the spot projection to soil layer line of demarcation and normal pool level line for answering native bottom, and the point on figure sectility upper thread A'B' is write down respectively
The distance in soil layer line of demarcation and normal pool level line is projected to, determines saturated unit weight or natural unit weight using the soil body more afterwards,
Saturated unit weight is used for the normal pool level line soil body below, the soil body more than normal pool level line is held using natural
Weight.
The slide angle is the angle in native bottom tangent direction and figure sectility upper thread A'B'.
Compared with the existing technology, beneficial effects of the present invention are：The present invention is based on the sides Bishop in limit equilibrium method
Method proposes that a kind of method for Side Slope Safety Coefficient calculating of paddling based on digital terrain progress reservoir, this method are flat by GIS software
Platform realizes side slope modeling and safety coefficient in such a way that ArcGIS Engine (abbreviation AE) secondary development generates plug-in package
The integration of calculating.For this method is compared with conventional method, avoids side slope modeling and safety coefficient calculates the situation mutually isolated,
It is integrated with numerical computations to realize side slope modeling, eliminates data importing and derived intermediate link, is also safety coefficient
Result of calculation can apply to region bank slump risk assessment and provide premise.
Description of the drawings
Fig. 1 is the two-dimentional Bishop methods force analysis figure of the present invention；
Fig. 2 is the side slope two-dimensional computation model schematic diagram that the present invention is built；
Fig. 3 is the soil body layered method schematic diagram of the present invention；
Fig. 4 is the enlarged drawing in Fig. 3 dotted line frames M of the present invention；
Fig. 5 is the angle schematic diagram in the AE Map OCXs of the present invention；
Fig. 6 is the schematic diagram of the bank stability result of calculation of paddling of the present invention.
Specific implementation mode
This patent is using the Bishop slices methods in limit equilibrium method as background technology.Now Bishop methods are described below：
Bishop slices methods assume that sliding surface is arc surface, it considers the active force of native side, and assumes each soil
Factor of safety against sliding all same on basal sliding face is equal to the average safety factor of sliding surface, the formula of Bishop methods
It is derived by by effective stress method, while total stress analysis can be used and obtain.
Appoint and take a soil i, active force thereon has native item dead weight Wi=bi(γ1ih1i+γ2ih2i+...+γmihmi), biFor
Native width, hmiFor the native m thes thickness of the layer of i, γmiFor the unit weight of m soil layers；Act on the tangential shearing resistance T of native bottomi、
Effective normal reaction Ni', pore water pressure uili；Being acted on respectively in soil both sides has normal force EiAnd Ei+1And tangential force XiWith
Xi+1, enable Δ Xi=Xi+1-Xi.As shown in Figure 1.
By the equilibrium condition and entire slide mass of power on vertical direction to the moment equilibrium condition of center of circle O, can be obtained
Bishop method safety coefficient calculation formula are：
C in the formulai',For the cohesive strength and internal friction angle for considering under the conditions of effective stress, Δ XiFor unknown quantity, to make to ask
Inscribe to obtain solution, it is assumed that Δ Xi=0, that is, ignore force of inter-slice, and it was demonstrated that influence very little of the hypothesis to safety coefficient, only exists
1% or so, the Bishop method solution formulas after being simplified：
Correspondingly, the Bishop formula being simplified according to total stress analysis are：
Wherein, ci,For consider total stress action condition under cohesive strength and internal friction angle,
When being calculated with Bishop approach formula, because of m on the right side of formulaiIn also have safety coefficient Fs, so needing to be iterated meter
It calculates.Assume first that F0=1.0, then according to F0Calculate m0, further according to m0Calculate F1, then calculate | F1-F0|, see whether be less than to
Fixed error, such as assigned error ε=0.01 take F if being less than assigned error1For safety coefficient, if more than then according to F1Meter
Calculate m1, according to m1Calculate F2, then calculate | F2-F1|, it sees whether be less than ε, if being less than assigned error, takes F2For safety coefficient,
Otherwise, continue the above iterative process.
A kind of computational methods of Side Slope Safety Coefficient of being paddled based on digital terrain progress reservoir of the present invention, including following step
Suddenly：
(1) it is based on digital terrain, profile drawing line builds side slope two-dimensional model by hatching；Profile drawing line is specific
Including：It paddles within the scope of side slope polygon in reservoir, draws figure sectility upper thread A'B' along main glide direction, obtained according to A'B'
Side slope terrain section line AB, wherein figure sectility upper thread A'B' is projections of the side slope terrain section line AB on two dimensional surface.
(2) it determines the soil body layered scheme on vertical direction, and determines the Soil Parameters per layer soil body, Soil Parameters packet
It includes：The thickness of the layer hmi, soil layer unit weight γmi, pore water pressure uili, soil layer cohesive strength ci, soil layer internal friction angle
Wherein uiIndicate distributed force of the stepless action in native bottom, liIndicate the length of native bottom.
Soil body layered scheme on the vertical direction specifically includes：The soil mass property, normal for side slope of being paddled according to reservoir
Side slope two-dimensional model in step (1) is carried out the soil body of the soil body in the vertical direction and is layered by water storage bit line, skid wire；For
The soil body is divided into waterborne and underwater two parts by the soil body of homogeneous according to reservoir filling bit line；For non-homogeneous soil, according to
Soil layer line of demarcation and water storage bit line carry out soil layer division.
Soil Parameters of the determination per layer soil body specifically include：Calculate corresponding native bottom on figure sectility upper thread A'B'
Length between being put on point and its homolographic projection to soil layer line of demarcation or normal pool level line, and compared, whether judge it
Fall among the soil body surrounded by sliding surface and original slope surface, then judge soil layer that its native bottom is fallen into and whether
Under water level, the parameter that the layer soil body should use finally is determined.
(3) it determines the native splitting scheme in horizontal direction, and determines the slide angle α of each native itemi；The slide angle αi
For the angle in native bottom tangent direction and figure sectility upper thread A'B'.
(4) two dimension Bishop methods are based on and calculate safety coefficientWherein, αiFor sliding
Angle,ciFor the cohesive strength of soil layer,For the internal friction angle of soil layer, biFor native width, WiFor soil
Item is conducted oneself with dignity.
I soil items dead weight Wi=bi(γ1ih1i+γ2ih2i+...+γmihmi), wherein biFor native width, hmiFor i soil m
The thickness of the layer, γmiFor the unit weight of m soil layers；The unit weight γ of soil layermiDetermination method include：By figure sectility upper thread A'B' Shang couple
On the spot projection to soil layer line of demarcation and normal pool level line for answering native bottom, and the point on figure sectility upper thread A'B' is write down respectively
The distance in soil layer line of demarcation and normal pool level line is projected to, determines saturated unit weight or natural unit weight using the soil body more afterwards.
It is carried out specifically by taking a certain landslide for covering interface along basement rock level or base of paddling in certain southwestern Reservoir region as an example below
It is bright.The position of its sliding surface is had determined that by field investigation, and has obtained the Soil Parameters under its native state and saturation state, is led to
Method provided by the invention is crossed, the calculating for the bank slope safety coefficient that can complete to paddle.
(1) hatching is built
It paddles within the scope of side slope polygon in reservoir, figure sectility upper thread is drawn along main glide direction, as shown in Fig. 2, A'B'
For the figure sectility upper thread drawn along main glide direction, AB curves are to obtain terrain section line according to A'B', from geometrically explaining, A'
B' is projections of the side slope hatching AB on two dimensional surface.
(2) side slope model is built
(x is used in AE componentsi,yi,zi) indicate three dimensions in a point, ziRepresent two-dimensional plane coordinate point (xi,
yi) at elevation, and for a bank slope, two-dimentional limit equilibrium method is section space in the vertical direction, i.e., along AE
Map cases in the two dimensional surface space parallel with Z axis, therefore, although the two is the exhibition method under two-dimensional state,
With different meanings, therefore, the point on X/Y plane is transformed into the problem in the plane parallel with Z axis, then needs to carry out
Corresponding conversion, and be also required to the result of calculation in the plane parallel with Z axis being shown in X/Y plane, it also needs to do
The problem of conversion, this is one " projecting twice ".
X/Y plane is being divided into two half-planes up and down by the straight line where principal section line A'B', by line segment A'B'
Equidistantly divided, obtain the point on a group picture sectility upper thread A'B', these points are can be obtained by DEM interpolation calculations where it
The elevation of position, using these height values as distance, in conjunction with the angle along the vertical directions A'B', you can construct on lower half-plane
The one group of point in original slope surface drawn can obtain putting in AE on field section line AB, AB if the point of acquisition is intensive enough
Coordinate in map cases does not have practical significance, and what it is there are practical significance is these points and corresponding points on figure sectility upper thread A'B'
Distance, that is, the elevation put, hh' distances are the elevation at point A', by the projection process i.e. so-called " one put on point to AB on A'B'
Secondary projection ".
It is searched for after obtaining critical glide line or drawing skid wire according to factual survey by Bishop methods, builds skid wire
For circular arc, i.e. circular arc line where AB, the position put in arc position at this time and circular arc, without practical significance, only
It is projected again to A'B' and the distance between calculates respective point, is i.e. elevation, could exact expression sliding surface spatial position,
Hh " is the elevation of A' after pressing the sliding of circular arc unstability, and here it is so-called " reprojections ".As shown in Fig. 2, according in digital terrain table
The line segment A'B' of iso-surface patch draws AB hatchings by the map cases of AE, and AB camber lines are circular arc skid wire, which draws
After completion, that is, construct side slope computation model.
(3) soil body is layered the input with Soil Parameters vertically
Carry out reservoir paddle side slope carry out stable calculation when, in the vertical direction, for the soil body of homogeneous,
Also by reservoir filling divided bit line be two parts waterborne and underwater, for non-homogeneous soil, then according to soil mass property into
Row divides as shown in figure 3, carrying out soil layer division according to soil layer line of demarcation and water storage bit line.
In Fig. 3,1. the Regional Representative's soil body 1. and 5. surrounded is unstability skid wire, 2., is 4. two soil layer lines of demarcation,
5. it is bank slope hatching 3. being reservoir operation scheme line.Soil body part between straight line a, c is a soil i, and straight line b is
The center line of soil i.
For single native item, divided to form multiple soil layers by soil layer line of demarcation and normal pool level line, such as Fig. 3 institutes
Show, this is related to two problems：
First is the calculating of soil body gravity, the problem of having used the first time projection in " twice project " here, i.e., will cut open
(assuming that reservoir operation scheme line elevation is 600 on spot projection to soil layer line of demarcation and normal pool level line on upper thread A'B'
Rice), and the spot projection on hatching A'B' is accordingly write down to the distance in soil layer line of demarcation and normal pool level line, it determines more afterwards
Soil body gravity is calculated using the saturated unit weight or natural unit weight of the soil body；
Second is the parameter problem in iterative calculation, due to arriving internal friction angle involved in iterative calculationBut the soil body is point
Layer soil body, therefore equally to judge which soil layer a native bottom falls into, then use the soil layerValue is calculated, and is passed through
The length between being put in the point on A'B' and its homolographic projection to soil layer line of demarcation or normal pool level line is calculated, and is carried out pair
Than judging whether it falls among the soil body surrounded by sliding surface and original slope surface, then judging what its native bottom was fallen into
Soil layer and whether under water level finally determines its parameter that should be used.
If fall into 1. with 2. between, which is under water level, then use the part soil layer saturation state under
Soil Parameters；2. and 4. between falling into, then 2. and 3. between, using the Soil Parameters under the saturation state of the part soil body,
3. and 4. between, then the Soil Parameters under the part soil body native state are used；4. and 5. between falling into, then the part is used
Soil Parameters under the native state of the soil body.
Soil Parameters can be loaded by manual with file two ways, as shown in figure 4, how the parameter after being loaded into is selected,
It then depends on above calculating and compares.
The computational methods of native item dead weight are as follows：The point calculated on figure sectility upper thread A'B' draws soil along the direction of vertical A'B'
Center line, between obtaining it in this direction and being put on unstability skid wire, each soil layer line of demarcation and normal pool level line
Intersection point, and write down length draws native center line by taking the native item in Fig. 3 as an example along the direction vertical with A'B', judge with 1. 2. 3.
5. 4. whether having intersection point, there is intersection point then to write down length, as shown in Fig. 3, and 1. 2. 3. 4. 5. has intersection point, which runs through
2. 1. 3. 4., 5. being terminated in bank slope hatching, therefore when calculating soil gravity, calculating separately height 1. 2. (to be located at 1.
2. the length approximation of the line segment of the center line of native vertical direction replaces between, similarly hereinafter), the saturation for being multiplied by the part soil body is held
Weight, calculate 2. 3. between height, be multiplied by the saturated unit weight of the part soil body, calculate 3. 4. between height, be multiplied by the part
The natural unit weight of the soil body, calculate 4. 5. between height, the natural unit weight of the part soil body is multiplied by, by the knot of the above each section of multiplication
Fruit is cumulative, obtains native gravity.Other native Gravity calculations are similar.
(4)) slide angle αiDetermination
The timesharing of horizontal direction is carried out to the soil body in limits of application balancing method, the determination of slide angle also needs to be turned
It changes, such as the α in Fig. 1i, then it is the angle in native bottom tangent direction and horizontal plane, but in AE in common two dimension calculates
In figure container, then become complex.
First, slide angle αiNo longer be the angle with horizontal plane, but with the angle of figure sectility upper thread A'B'；Secondly, exist
AE map spaces, line segment is directive, as shown in figure 4, direct north is 90 °, due south direction is -90 °, and due west direction is
180 °, due east direction is 0 °.By taking figure sectility upper thread A'B' in Fig. 5 as an example, if A'B' deflections are 120 °, then the direction of B'A'
Angle is then -60 °, while being furthermore noted that the angle of AE map cases uses Circular measure, to carry out radian and angle in the calculation
Between conversion.Therefore, when determining slide angle, first have to determine the quadrant where it, then again with figure sectility upper thread A'B'
Deflection do operation and obtain.
As shown in Figure 3-4, the line using two neighboring native cut-off rule with skid wire intersection point and direction slopes rear side
To the angle with figure sectility upper thread A'B' as slide angle.Slopes leading edge refers to that the native lower right corner, slopes rear refer to soil
The upper left corner.
(5) two dimension Bishop methods are based on and calculate safety coefficient
Based on AE secondary development, the design and development of plug-in unit is completed, and is introduced into GIS platform, realizes that side slope two-dimensional is built
Mould is integrated with calculating, as shown in Figure 6.
The above are merely the preferred embodiment of the present invention, it is noted that for those skilled in the art, not
It is detached under the premise of general idea of the present invention, several changes and improvements can also be made, these should also be considered as the protection of the present invention
Range.
Claims (5)
1. a kind of computational methods for Side Slope Safety Coefficient of being paddled based on digital terrain progress reservoir, which is characterized in that including following
Step：
(1) it is based on digital terrain, profile drawing line builds side slope two-dimensional model by hatching；
(2) it determines the soil body layered scheme on vertical direction, and determines the Soil Parameters per layer soil body, Soil Parameters include：Soil
The unit weight γ of layermi, pore water pressure uili, soil layer cohesive strength ci, soil layer internal friction angle
(3) it determines the native splitting scheme in horizontal direction, and determines the slide angle α of each native itemi；
(4) two dimension Bishop methods are based on and calculate safety coefficientWherein, αiFor slide angle,biFor native width, WiConduct oneself with dignity for native item.
2. the computational methods for Side Slope Safety Coefficient of being paddled as described in claim 1 based on digital terrain progress reservoir, feature
It is：Described in step (1) based on digital terrain, profile drawing line specifically includes：
It paddles within the scope of side slope polygon in reservoir, figure sectility upper thread A'B' is drawn along main glide direction, side is obtained according to A'B'
Slope terrain section line AB, wherein figure sectility upper thread A'B' is projections of the side slope terrain section line AB on two dimensional surface, projection side
Method includes：X/Y plane is being divided into two half-planes up and down by the straight line where figure sectility upper thread A'B', by line segment A'B'
Equidistantly to be divided, obtains one group of cut-point, the elevation of its position can be obtained by interpolation calculation for the cut-point, with
These height values are distance, in conjunction with the angle along the vertical directions A'B', you can construct the original slope drawn on lower half-plane
One group of point on face obtains side slope terrain section line AB according to this group point.
3. the computational methods for Side Slope Safety Coefficient of being paddled as described in claim 1 based on digital terrain progress reservoir, feature
It is：Soil body layered scheme on vertical direction described in step (2) specifically includes：
Soil mass property, normal pool level line, the skid wire for side slope of being paddled according to reservoir, by the side slope two-dimensional model in step (1)
Carry out the soil body layering of the soil body in the vertical direction；For the soil body of homogeneous, the soil body is divided by water according to reservoir filling bit line
Upper and underwater two parts；For non-homogeneous soil, soil layer division is carried out according to soil layer line of demarcation and water storage bit line.
4. the computational methods for Side Slope Safety Coefficient of being paddled as described in claim 1 based on digital terrain progress reservoir, feature
It is：I soil items dead weight Wi=bi(γ1ih1i+γ2ih2i+...+γmihmi), wherein biFor native width, hmiFor the native m soil layers of i
Thickness, γmiFor the unit weight of m soil layers；The unit weight γ of soil layermiDetermination method it is as follows：By corresponding soil on figure sectility upper thread A'B'
On the spot projection to soil layer line of demarcation and normal pool level line of bottom, and the spot projection on figure sectility upper thread A'B' is write down respectively
To the distance in soil layer line of demarcation and normal pool level line, the saturated unit weight or natural unit weight using the soil body are determined more afterwards, for
The normal pool level line soil body below uses saturated unit weight, and natural unit weight is used for the soil body more than normal pool level line.
5. the computational methods for Side Slope Safety Coefficient of being paddled as described in claim 1 based on digital terrain progress reservoir, feature
It is：The slide angle is the angle in native bottom tangent direction and figure sectility upper thread A'B'.
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| CN108595859A (en) * | 2018-04-28 | 2018-09-28 | 山东省水利勘测设计院 | A kind of reservoir box dam turning Sliding stability of dam slope appraisal procedure |
| CN109815633A (en) * | 2019-02-28 | 2019-05-28 | 河海大学 | A kind of slope stability method of discrimination based on coupling about surface water and ground water model |
| CN109815633B (en) * | 2019-02-28 | 2022-02-08 | 河海大学 | Slope stability discrimination method based on surface water and underground water coupling model |
| CN110232248A (en) * | 2019-06-18 | 2019-09-13 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on coefficient transfer method |
| CN110162932A (en) * | 2019-06-21 | 2019-08-23 | 招商局重庆交通科研设计院有限公司 | The calculation method of automatic monitoring slope stability based on finite element lattice |
| CN110162932B (en) * | 2019-06-21 | 2021-04-13 | 招商局重庆交通科研设计院有限公司 | Calculation method for automatically monitoring slope stability based on finite element division |
| CN110306566A (en) * | 2019-06-26 | 2019-10-08 | 东华理工大学 | The method on distributed high pressure water injection induction landslide |
| CN110306566B (en) * | 2019-06-26 | 2021-04-16 | 东华理工大学 | Method for inducing landslide by distributed high-pressure water injection |
| CN111368458A (en) * | 2020-03-23 | 2020-07-03 | 青岛理工大学 | Method for calculating foundation pit excavation slope safety coefficient |
| CN111368458B (en) * | 2020-03-23 | 2021-04-02 | 青岛理工大学 | Method for calculating foundation pit excavation slope safety coefficient |
| CN113127961A (en) * | 2021-04-28 | 2021-07-16 | 河南省公路工程局集团有限公司 | Improved Bishop method capable of being directly used for side slope covered with small prefabricated part |
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