CN104331607A - Slope stability analyzing method - Google Patents

Abstract

The invention provides a slope stability analyzing method, which comprises the following steps that 1, slope parameters are input; 2, the circle center O and the radius R of a slope are assumed; 3, a crossed part of a half slope and a circular arc drawn according to the assumed circle center O and radius R is subjected to strip splitting and numbering; 4, Li, Wi and theta<i> values of each strip are calculated; 5, the safety factor Fs is obtained according to the Li, Wi and theta<i> values; 6, a plurality of Fs are obtained; 7, the minimum values of the safety factor Fs is screened and is used as the slope safety factor to be output; according to the slope length and the slope height of the half slope, the circle center and the radius of a slope landslide are assumed, in addition, a circular arc is drawn according to the assumed circle center and radius, a crossed part of the circular arc and the slope is subjected to strip splitting, in addition, the slope safety factor is calculated, meanwhile, the circle center and the radius are assumed for many times, the slope safety factor is calculated for many times, in addition, the calculated safety factors are compared, and the minimum value is selected as the slope safety factor. The scheme has the advantage that the calculation is simple and accurate.

Description

A kind of slope stability analysis method

Technical field

The present invention relates to a kind of field of civil engineering, particularly a kind of slope stability analysis method.

Background technology

The loess plateau ravines and guillies criss-cross of western part of China, when annual rainy season set in 7 ~ September, these side slopes very easily come down, and cause casualties and economic loss.Therefore, in engineering construction addressing, the stability of correct evaluation side slope is particularly important.At present, loess slope stability field evaluation mainly relies on the experience of slip-stick artist, and experience has uncertainty, is limited by the shortcoming of experience; Although computer numerical analytical technology principle is ripe, it is accurate to calculate, because analytic process is loaded down with trivial details, computing machine is not suitable for running under the field environment in zanjon deserted mountain, so there is no be adopted by engineering.

Summary of the invention

In order to solve the problem, the invention provides and a kind ofly calculate the slope stability analysis method that simply can analyze the safety coefficient of side slope accurately.

For achieving the above object, by the following technical solutions, a kind of slope stability analysis method, comprises the following steps in the present invention:

1) slope parameter is inputted: slope height H, length of grade L, angle of friction φ, cohesive strength C, severe γ, saturated unit weight γ _sat, point number n, seepage flow volume ratio S;

2) center of circle O and the radius R of side slope is supposed;

3) part that the circular arc drawn according to center of circle O and the radius R of hypothesis is crossing with half way up the mountain is carried out itemize and is numbered;

4) L of each bar of following formulae discovery is used _i, W _i, θ _ivalue;

L _i=R* (θ _i-θ _i-1)---the length of arc bottom every stick;

θ _i=arcsin [(O _x-X _i)/R]---mid point D's at the bottom of i-th rule

θ ₀=arcsin [(O _x-L)/R]---the inclination angle of mid point D at the bottom of the 0th rule;

W _i=γ * B*H _i---the gravity of i-th stick;

H _i=Y _i'-Y _i---i-th stick is high

Y _i=O _y-R*cos (θ _i)---the Y-coordinate of i-th stick top mid point D '

Y _i'=(-H/L*X _i)---the Y-coordinate of i-th stick top mid point D '

O _xthe X-coordinate of-center of circle O, O _ythe Y-coordinate of-center of circle O, X _ithe horizontal ordinate of mid point D at the bottom of-the i-th rule, B-bar is wide;

5) according to the L that above formula calculates _i, W _i, θ _i, bring equation into and can draw safety coefficient Fs;

Fs＝{γ*B*tanφ*∑(H _i*cosθ _i)+∑(c*L _i)}/{γ*B*∑(H _i*sinθ _i)}；

6) repeatedly suppose center of circle O and radius R according to grid is infinite, and repeat step 3), 4), 5) draw multiple Fs;

7) minimum value of screening safety coefficient Fs exports as the safety coefficient of side slope.

Step 4) L that calculates _i, W _i, θ _i, following formula can also be used can to calculate infiltration safety coefficient Fs ';

Fs′＝{γ*B*tanφ*∑(H _i1*cosθ _i)+(γ _sat-10)*B*tanφ*∑(H _i2*cosθ _i)+∑(c*L _i)}/{γ*B*∑(H _i1*sinθ _i)+γ _sat*B*∑(H _i2*sinθ _i)}

H in formula _i1=H _i* (1-S), H _i2=H _i* S, H _i1article-the i-th, air draght, H _i2article-the i-th, under water highly.

The present invention uses technique scheme, have the following advantages, the present invention supposes the center of circle and the radius of slope and land slide according to the length of grade of half way up the mountain and slope height, and drawing circular arc according to the center of circle supposed and radius, the part crossing with side slope to this circular arc carries out itemize, and calculates the safety coefficient of side slope, the simultaneously hypothesis center of circle repeatedly and radius, and carrying out repeatedly calculates the safety coefficient of side slope, and the safety coefficient calculated is compared, select the safety coefficient of minimum value as side slope; This scheme calculates simple, accurately.

Below with reference to accompanying drawing, the present invention is described in further details.

Accompanying drawing explanation

Fig. 1 is a kind of slope stability analysis method flow diagram;

Fig. 2 is side slope itemize figure;

Fig. 3 is the force analysis figure of every bar;

Fig. 4 is slope stability analysis figure.

Embodiment

Further a kind of slope stability analysis method is described in detail below in conjunction with drawings and Examples.

A kind of slope stability analysis method as shown in Figure 1, comprises the following steps:

1) slope parameter is inputted: slope height H, length of grade L, angle of friction φ, cohesive strength C, severe γ, saturated unit weight γ _sat, point number n, seepage flow volume ratio S;

2) center of circle O and the radius R of side slope is supposed;

3) part that the circular arc drawn according to center of circle O and the radius R of hypothesis is crossing with half way up the mountain is carried out itemize and is numbered;

4) L of each bar of following formulae discovery is used _i, W _i, θ _ivalue;

L _i=R* (θ _i-θ _i-1)---the length of arc bottom every stick;

θ _i=arcsin [(O _x-X _i)/R]---the inclination angle of mid point D at the bottom of i-th rule

θ ₀=arcsin [(O _x-L)/R]---the inclination angle of mid point D at the bottom of the 0th rule;

W _i=γ * B*H _i---the gravity of i-th stick;

H _i=Y _i'-Y _i---i-th stick is high

Y _i=O _y-R*cos (θ _i)---the Y-coordinate of i-th stick top mid point D '

Y _i'=(-H/L*X _i)---the Y-coordinate of i-th stick top mid point D '

O _xthe X-coordinate of-center of circle O, O _ythe Y-coordinate of-center of circle O, X _ithe horizontal ordinate of mid point D at the bottom of-the i-th rule, B-bar is wide;

5) according to the L that above formula calculates _i, W _i, θ _i, bring equation into and can draw safety coefficient Fs;

Fs＝{γ*B*tanφ*∑(H _i*cosθ _i)+∑(c*L _i)}/{γ*B*∑(H _i*sinθ _i)}

6) repeatedly suppose center of circle O and radius R according to grid is infinite, and repeat step 3), 4), 5) draw multiple Fs;

7) minimum value of screening safety coefficient Fs exports as the safety coefficient of side slope.

Step 2) in the center of circle O of hypothesis and radius R be suppose in the quadrilateral of the AGFE identified in such as Fig. 4, this quadrilateral is according to slip-stick artist, the region that staff is summed up in routine duties;

In computation process, the parameter understood is needed to can refer to following table:

Table one: variable and formulae discovery parameter lookup table:

The present invention adopts this technology, and compared with the result that the result obtained is positive with reason under error, accuracy is high, and calculates simple, and this result of calculation is easily programmed into the mobile devices such as mobile phone, does not need in a large amount of equipment calculated;

Table two: be this technology checkout result and the positive result of calculation control reference table one of reason;

Table three: be this technology checkout result and the positive result of calculation control reference table two of reason;

Table four: be this technology checkout result and the positive result of calculation control reference table three of reason;

Can find out according to upper table two, three, four, the technical solution used in the present invention, the result calculated is less with the error of calculation of the positive result of reason, is suitable for and analyzes the safety coefficient of side slope.

1) slope parameter is inputted: slope height H, length of grade L, angle of friction φ, cohesive strength C, severe γ, saturated unit weight γ _sat, point number n, seepage flow volume ratio S;

2) center of circle O and the radius R of side slope is supposed;

3) part that the circular arc drawn according to center of circle O and the radius R of hypothesis is crossing with half way up the mountain is carried out itemize and is numbered;

4) L of each bar of following formulae discovery is used _i, W _i, θ _ivalue;

L _i=R* (θ _i-θ _i-1)---the length of arc bottom every stick;

θ _i=arcsin [(O _x-X _i)/R]---the θ of mid point D at the bottom of i-th rule ₀=arcsin [(O _x-L)/R]---the inclination angle of mid point D at the bottom of the 0th rule;

W _i=γ * B*H _i---the gravity of i-th stick;

H _i=Y _i'-Y _i---i-th stick is high

Y _i=O _y-R*cos (θ _i)---the Y-coordinate of i-th stick top mid point D '

Y _i'=(-H/L*X _i)---the Y-coordinate of i-th stick top mid point D '

O _xthe X-coordinate of-center of circle O, O _ythe Y-coordinate of-center of circle O, X _ithe horizontal ordinate of mid point D at the bottom of-the i-th rule, B-bar is wide;

5) according to step 4) L that calculates _i, W _i, θ _i, following formula can also be used can to calculate infiltration safety coefficient Fs ';

Fs′＝{γ*B*tanφ*∑(H _i1*cosθ _i)+(γ _sat-10)*B*tanφ*∑(H _i2*cosθ _i)+∑(c*L _i)}/{γ*B*∑(H _i1*sinθ _i)+γ _sat*B*∑(H _i2*sinθ _i)}

H in formula _i1=H _i* (1-S), H _i2=H _i* S, H _i1article-the i-th, air draght, H _i2article-the i-th, under water highly.

6) repeatedly suppose center of circle O and radius R according to grid is infinite, and repeat step 3), 4), 5) draw multiple Fs ';

7) minimum value of screening safety coefficient Fs ' exports as the safety coefficient of side slope.

The present invention supposes the center of circle and the radius of slope and land slide according to the length of grade of half way up the mountain and slope height, and draw circular arc according to the center of circle supposed and radius, the part crossing with side slope to this circular arc carries out itemize, and calculate the safety coefficient of side slope, the simultaneously hypothesis center of circle repeatedly and radius, and carrying out repeatedly calculates the safety coefficient of side slope, and the safety coefficient calculated is compared, select the safety coefficient of minimum value as side slope; This scheme calculates simple, accurately.

More than exemplifying is only illustrate of the present invention, does not form the restriction to protection scope of the present invention, everyly all belongs within protection scope of the present invention with the same or analogous design of the present invention.

Claims (2)

1. a slope stability analysis method, is characterized in that, comprises the following steps:

1) slope parameter is inputted: slope height H, length of grade L, angle of friction φ, cohesive strength C, severe γ, saturated unit weight γ _sat, point number n, seepage flow volume ratio S;

2) center of circle O and the radius R of side slope is supposed;

3) part that the circular arc drawn according to center of circle O and the radius R of hypothesis is crossing with half way up the mountain is carried out itemize and is numbered;

4) L of each bar of following formulae discovery is used _i, W _i, θ _ivalue;

L _i=R* (θ _i-θ _i-1)---the length of arc bottom every stick;

θ _i=arcsin [(O _x-X _i)/R]---the inclination angle of mid point D at the bottom of i-th rule;

θ ₀=arcsin [(O _x-L)/R]---the inclination angle of mid point D at the bottom of the 0th rule;

W _i=γ * B*H _i---the gravity of i-th stick;

H _i=Y _i'-Y _i---i-th stick is high;

Y _i=O _y-R*cos (θ _i)---the Y-coordinate of i-th stick top mid point D ';

Y _i'=(-H/L*X _i)---the Y-coordinate of i-th stick top mid point D ';

O _xthe X-coordinate of-center of circle O, O _ythe Y-coordinate of-center of circle O, X _ithe horizontal ordinate of mid point D at the bottom of-the i-th rule, B-bar is wide;

5) according to the L that above formula calculates _i, W _i, θ _i, bring equation into and can draw safety coefficient Fs;

Fs＝{γ*B*tanφ*∑(H _i*cosθ _i)+∑(c*L _i)}/{γ*B*∑(H _i*sinθ _i)}

6) repeatedly suppose center of circle O and radius R according to grid is infinite, and repeat step 3), 4), 5) draw multiple Fs;

7) minimum value of screening safety coefficient Fs exports as the safety coefficient of side slope.

2. a kind of slope stability analysis method according to claim 1, is characterized in that, step 4) L that calculates _i, W _i, θ _i, infiltration safety coefficient Fs ' can also be calculated;

Fs′＝

{γ*B*tanφ*∑(H _i1*cosθ _i)+(γ _sat-10)*B*tanφ*∑(H _i2*cosθ _i)+∑(c*L _i)}/{γ*B*∑(H _i1*sinθ _i)+γ _sat*B*∑(H _i2*sinθ _i)}

H in formula _i1=H _i* (1-S), H _i2=H _i* S, H _i1article-the i-th, air draght, H _i2article-the i-th, under water highly.