CN108763661A - A method of visibility is influenced based on Monte Carlo simulation road table moisture film - Google Patents

A method of visibility is influenced based on Monte Carlo simulation road table moisture film Download PDF

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CN108763661A
CN108763661A CN201810441203.2A CN201810441203A CN108763661A CN 108763661 A CN108763661 A CN 108763661A CN 201810441203 A CN201810441203 A CN 201810441203A CN 108763661 A CN108763661 A CN 108763661A
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water
visibility
water mist
monte carlo
moisture film
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崔娟
庞志显
陈阳利
吴炫
周亚东
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Design Group Ltd By Share Ltd
China Design Group Co Ltd
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Abstract

The invention discloses a kind of methods influenced on visibility based on Monte Carlo simulation road table moisture film.For certain wet road surface of rainy day, on the basis of considering the characterisitic parameter of wet road surface, establish the concentration model that water mist is splash to the moisture film that rear car visibility has an impact, the scattering properties parameter that water mist particle is calculated using the innovatory algorithm of Mie theories applies the influence that Monte Carlo Monte Carlo Method of Stochastic simulates moisture film to visibility.The present invention is that rainy day wet road surface causes water mist to influence data to visibility to estimate and provide a kind of method for numerical simulation, the method is simply, conveniently, influence of the road table moisture film to visibility can rationally be estimated, visibility distance and specification stopping sight distance can also be compared based on this, safe speed is obtained, speed limit notice is formulated for highway early warning and plays booster action.

Description

A method of visibility is influenced based on Monte Carlo simulation road table moisture film
Technical field
The invention belongs to digital simulation technical field, more particularly to a kind of side that simulation road table moisture film influences visibility Method.
Background technology
China Higher grade highway construction development is rapid, and highway carries the most shipping in the whole nation and passenger traffic task, is to hand over The important link of logical transport.However, severe natural cause can improve the difficulty of highway communication, lead to major traffic accidents frequency Hair.Rainfall can not be ignored travel safety influence.Rain and fog weather can make driver generate intense strain, interfere driver's sight, Reduce road visibility.Highway wet traffic accident rate is high 2~10 times of fine day accident rate, and a rainy day traffic accident causes Loss compared with normal weather increase by 30%.
After rainfall, plain asphalt road surface can form moisture film, and the anti-slide performance of road declines, and usually causes wheel side sliding, vehicle Afterwards the problems such as water mist.Water mist also can generate very big interference to the sight of rear car after vehicle.At present about rainfall to road traffic safety Influence case study be typically directly to be observed to the visibility of rainy day, and it is dangerous to study the driving that visibility brings, Influence of the water mist to visibility after the vehicle splash without consideration moisture film;Moreover, because moisture film splash water mist observation complexity and Uncertainty directly measures moisture film and splashes influence cost prohibitive of the water mist to visibility at the scene.Also just because of this, also lacks now Weary feasible simulation calculates the scheme that road table moisture film influences visibility.
Invention content
To solve the above problems, being influenced on visibility based on Monte Carlo simulation road table moisture film the invention discloses a kind of Method, simply, conveniently, the water mist that the table moisture film that can not only satisfy the need generates carries out quantitative analysis to the method for the present invention, can will also see Distance is compared with specification stopping sight distance, obtains safe speed, is formulated speed limit notice for highway early warning and is played booster action.
The present invention uses following technical scheme to solve above-mentioned technical problem:One kind being based on Monte Carlo simulation road table moisture film On the method that visibility influences, include the following steps:
Step 1, road table water film thickness is calculated according to rainfall intensity and pavement characteristics parameter;
Step 2, the water mist mechanism of production for crossing wet road surface according to vehicle and splashing calculates the water corresponding to different speeds Fog particles concentration;
Step 3, the scattering properties parameter of water mist particle is calculated using Michaelis Mie scattering theories;
Step 4, Monte Carlo Monte Carlo methods are based on, the multiple scattering model that photon is propagated in water mist is established;
Step 5, definition index and multiple scattering algorithm model based on atmospheric visibility, simulation obtain road table moisture film and splash Influence of the water mist to visibility.
Preferably, in the step 1 for common waterproof pavement, road table water film thickness calculation formula is:
H=0.1258l0.6715·i-0.3147·r0.7786·TD0.7261
In above formula, h is road table water film thickness, unit mm;L is road surface drainage length, and i is drainage grade, is closed by way of road At the gradient;R is rainfall intensity, unit mm/min;TD is pavement structural depth, unit mm.
Preferably, the generation mechanism that the moisture film in the step 2 splashes water mist includes headstock wave BW, side wave SW, tire Wave TP, and stick wave CA.Headstock wave is the water mist generated in front of tire, and side wave is the backward water mist that tire side is splash, Tire wave inception be the dead astern that generates of rear tire to water mist, it is the water mist rolled of tire longitudinal fluting to stick wave.Wherein, to rear car energy The water mist that degree of opinion has an impact is side wave SW and tire wave inception TP.
Preferably, specific corresponding to the water mist particle concentration of different speeds based on water film thickness calculating in the step 2 Include the following steps:
The water of side wave SW and tire wave inception TP calculate:
Wherein, v is speed, unit m/s;B is tyre width, unit m;H is water film thickness, unit m;γwIt is the close of water Degree, 1000kg/m3;MRTPAnd MRSWIt is the water of SW and TP, unit kg/s respectively;K is that the non-recessed width of tire tread accounts for Than generally taking 0.75;hfilmIt is that tire rotates the water film thickness taken up every time, the depth of water takes 0.0001m when being more than 0.0001m, no H when sufficientfilmIt is taken as the depth of water;hgrooveIt is the water thickness on tyre surface, the depth of water takes 0.01m when being more than 0.01m, h when insufficientgrooveIt is taken as water It is deep.
The water mist total amount that rear car visibility has an impact is calculated:
MR=MRTP+MRSW
Particle volume fraction (CV) calculation formula:
Water mist particle concentration (N0) calculation formula:
Wherein, N0It is water mist particle concentration, unit is a/m3;V0It is the volume of single water mist particle, if water mist particle is equal For spherical water droplet.
Preferably, the Michaelis Mie scattering theories in the step 3 calculate the scattering properties parameter calculating of water mist particle specifically It is as follows:
It is m to be set as refractive index, and the medium of scale parameter α is I by light intensity0, wavelength is the illumination of λ, Angle of scattering is θ, distance is the scattered light intensity I received at RθFor:
Wherein, i1And i2Referred to as scatter the intensity function of light;α is the scale parameter of particle, by wavelength X and water mist particle Diameter D determinations,M=m1+im2For the refractive index of particle, m2≠ 0 indicates absorption;S1And S2Referred to as scatter shaking for light Width function, is expressed as:
Wherein, an、bnReferred to as Mie coefficients, πnAnd τnCalculating formula:
τnnCos (θ)-π 'n·sin2(θ)
Wherein, πn' recurrence formula be:π 'n=(2n-1) πn-1+ π 'n-2。ψnnn' and ζn' calculation formula:
Scattering phase function P (θ) is that scattering energy of the light in the unit solid angle of some specific direction accounts for all directions The ratio between scattering energy in upper average unit solid angle, calculating function is:
Finally, scattering properties parameter (extinction coefficient K is obtainedext, absorption coefficient KaWith scattering coefficient Ks):
Ka=Kext-Ks
Preferably, the Monte Carlo simulation photon multiple scattering basic thought in the step 4 is will to launch from light source Photodegradation at single photon, each event (escape, scattering, absorbs collision) for being happened at the photon lifetime has certain Probability density, the track of each photon is built with probability density;When the photon numbers of consideration are sufficiently large, statistical method close to Practical solution.
Preferably, the multiple scattering model that photon is propagated in water mist indicates as follows:It is parallel to the faces XOY i.e. XOY from a certain Face is that the plane of detection plane emits the directional lights of certain photon numbers to Z axis negative direction, the life cycle of photon end in by It absorbs or escapes to detection plane.
(1) the transmission step-length d of photon:Transmission step-length d is that the distance undergone between colliding twice in succession occurs for photon.It is right In the propagation of photon in the medium, transmission step-length d is determined by following formula:r1It is derived from [0,1] area for one Between equally distributed random number.
(2) after photon and water mist particle collide, photon may be absorbed or scattered by water mist particle.When When, photon is absorbed by water mist, is otherwise scattered, r2It is derived from the equally distributed random number in [0,1] section for one.
(3) photon encounters water mist particle, if generating collision, and is not scattered by absorption.The new movement road of the photon Diameter is determined by the scattering phase function P (θ) of medium.In the plane perpendicular to photon transmission path, the new direction of propagationSide To value ber3It is derived from the equally distributed random number in [0,1] section for one.The angle of new direction and original route θ, i.e. angle of scattering.Enable r4It is derived from the equally distributed random number in [0,1] section for one, is metOne can be acquired A exact scatteringangleθ and r4It is corresponding.It finds outThe new direction of propagation of photon has just been obtained with θ both directions.
Then the equally distributed digital r randomly generated in [0,1] section is derived from using 41、r2、r3、r4, fully describe The interaction probabilistic model of photon and water mist particle.This 4 random numbers play difference in Monte Carlo probabilistic models Effect:r1Determine the propagation distance between photon collides twice, r2Determine collision as a result, r3With r4After determining scattering The new direction of motion of photon.
Preferably, in the step 5, in meteorology, visibility is index with meteorological optical range, refers to incandescent lamp and sends out Colour temperature for the luminous flux of the collimated light beam of 2700K weaken in an atmosphere to initial value 5% by length.
By obtaining the optical diffusion characteristic parameter needed for the process of Monte Carlo simulation, writes matlab programs and realize that illiteracy is special Carlow is simulated, and the number of photons that a large amount of photons reach receiving plane after Multiple Scattering is calculated, due to photon numbers and luminous flux It is directly proportional, it is believed that when number of photons is reduced to the 5% of initial value, just to have reached the boundary of visibility distance, from there through atmospheric optics Visual range principle calculates visibility.
The present invention has the following technical effects using above technical scheme is compared with the prior art:
The present invention is established and is had an impact to rear car visibility on the basis of considering the characterisitic parameter of wet road surface Moisture film splashes the concentration model of water mist, and the scattering properties parameter of water mist particle is calculated using the innovatory algorithm of Mie theories, application Monte Carlo Monte Carlo Method of Stochastic simulates influence of the moisture film to visibility, solves rainy day wet road surface Water mist is caused to influence the problem of data are estimated to visibility.Meanwhile method disclosed by the invention is simple, conveniently, when specific implementation Visibility distance and specification stopping sight distance can also be compared, obtain safe speed, formulated speed limit notice for highway early warning and play Booster action.
Description of the drawings
Fig. 1 is the step flow chart of the specific embodiment of the invention;
Fig. 2 is the simulation schematic diagram that photon is propagated in water mist;
Fig. 3 is the algorithm pattern of Monte Carlo simulation photon lifetime;
Fig. 4 is water film thickness 5mm, and when design speed 120km/h, detection plane range can be reached in 10000 photons Photon numbers;
Visibility when Fig. 5 is different speeds is schemed with stopping sight distance SSD.
Specific implementation mode
Technical scheme of the present invention is described in further detail below in conjunction with the accompanying drawings:
In a particular embodiment, speed limit selection is carried out to wet road surface using the invention method, as shown in Figure 1, main packet Include following steps:
Step 1, road table water film thickness is calculated according to rainfall intensity and pavement characteristics parameter.
For common waterproof pavement, road table water film thickness calculation formula is:
H=0.1258l0.6715·i-0.3147·r0.7786·TD0.7261
In above formula, h is road table water film thickness, unit mm;L is road surface drainage length, and i is drainage grade, is closed by way of road At the gradient;R is rainfall intensity, unit mm/min;TD is pavement structural depth, unit mm.
The present embodiment studies the road surfaces SMA, and l takes 12m, and i 3.2%, r are when region of Southeast meets lasting in 5 years one Between 5min rain time in be 3.125mm/min;TD is 1.35mm.Calculate most main road table water film thickness is about 5.9mm.
Step 2, the water mist mechanism of production for crossing wet road surface according to vehicle and splashing calculates the water corresponding to different speeds Fog particles concentration.
Moisture film splashes the generation mechanism of water mist generally there are four types of waveform, including headstock wave BW, side wave SW, tire wave inception TP, With stick wave CA.Headstock wave is the water mist generated in front of tire, and side wave is the backward water mist that tire side is splash, tire wave inception The dead astern generated for rear tire to water mist, it is the water mist rolled of tire longitudinal fluting to stick wave.Wherein, rear car visibility is produced The raw water mist influenced is side wave SW and tire wave inception TP.
Preferably, specific corresponding to the water mist particle concentration of different speeds based on water film thickness calculating in the step 2 Include the following steps:
The water of side wave SW and tire wave inception TP calculate:
Wherein, v is speed, unit m/s;B is tyre width, unit m;H is water film thickness, unit m;γwIt is the close of water Degree, 1000kg/m3;MRTPAnd MRSWIt is the water of SW and TP, unit kg/s respectively;K is that the non-recessed width of tire tread accounts for Than generally taking 0.75;hfilmIt is that tire rotates the water film thickness taken up every time, the depth of water takes 0.0001m when being more than 0.0001m, no H when sufficientfilmIt is taken as the depth of water;hgrooveIt is the water thickness on tyre surface, the depth of water takes 0.01m when being more than 0.01m, h when insufficientgrooveIt is taken as water It is deep.
The water mist total amount that rear car visibility has an impact is calculated:
MR=MRTP+MRSW
Particle volume fraction (CV) calculation formula:
Water mist particle concentration calculation formula:
Wherein, N0It is water mist particle concentration, unit is a/m3;V0It is the volume of single water mist particle, unit m3If water mist Particle is spherical water droplet.
When load-carrying vehicle is run at high speed, tire makes the effect of atomisation of waterfilm be similar to jet stream mist to a certain extent with ground Change the physical process for forming a large amount of drops.Sauter mean diameter SMD indicates that imaginary size is single and diameter is equal with one Actual population is replaced by SMD populations, keeps the ratio of total volume and total surface area constant.Corresponding to 120,90 He of speed The SMD of 70km/h is respectively 500,800 and 1000 μm.The water film thickness being finally calculated is the water for respectively corresponding to different speeds Fog particles concentration is as shown in table 1.
Table 1
Step 3, the scattering properties parameter of water mist particle is calculated using Michaelis Mie scattering theories.
It is m=1.333+0.000196i to be set as refractive index, and the medium of scale parameter α is I by light intensity0, wavelength λ =0.55 μm of illumination, angle of scattering is θ, distance is the scattered light intensity I received at RθFor:
Wherein, i1And i2Referred to as scatter the intensity function of light;α is the scale parameter of particle, by wavelength X and water mist particle SMD determinations,M=m1+im2For the refractive index of particle, m2≠ 0 indicates absorption;S1And S2Referred to as scatter light Amplitude function is expressed as:
Wherein, an、bnReferred to as Mie coefficients, πnAnd τnCalculating formula:
τnnCos (θ)-π 'n·sin2(θ)
Wherein, πn' recurrence formula be:π 'n=(2n-1) πn-1+π′n-2。ψnnn' and ζn' calculation formula:
Scattering phase function P (θ) is that scattering energy of the light in the unit solid angle of some specific direction accounts for all directions The ratio between scattering energy in upper average unit solid angle, calculating function is:
Finally, scattering properties parameter (extinction coefficient K is obtainedext, absorption coefficient KaWith scattering coefficient Ks):
Ka=Kext-Ks
In the above series, the sum of n=1 to n=∞ are taken, calculation amount is very huge.Since higher order term finally counts parameter The influence of calculation value is little, and increases with its exponent number and constantly reduce, in actually calculating, according to required precision, nstopIt can be empirically Formula takes:nstop=α+c α ^ (1/3)+b, c is between 4~4.05, and b is between 1~2.It is final to obtain each scattering properties parameter such as table 2。
SMD(μm) α nstop Kext Ks Ka
500 2856 3000 2.4056 2.4053 0.0003
800 4570 4700 2.2244 2.2243 0.0001
1000 5712 5800 2.0976 2.0975 0.0001
Table 2
Step 4, Monte Carlo Monte Carlo methods are based on, the multiple scattering model that photon is propagated in water mist is established.
Monte Carlo simulation photon multiple scattering basic thought is, by the photodegradation launched from light source at single photon, Each event such as escape, collision, scattering, absorption for being happened at the photon lifetime has certain probability density, close with probability Degree builds the track of each photon;When the photon numbers of consideration are sufficiently large, statistical method is close to practical solution.
The simulation signal that photon is propagated in water mist is as shown in Figure 2:From a certain faces the XOY i.e. plane of detection plane that is parallel to Emit the directional light of certain photon numbers to Z axis negative direction, the life cycle of photon is ended in be absorbed or escaped to detection and be put down Face.
(1) the transmission step-length d of photon:Transmission step-length d is that the distance undergone between colliding twice in succession occurs for photon.It is right In the propagation of photon in the medium, transmission step-length d is determined by following formula:r1It is derived from [0,1] area for one Between equally distributed random number.
(2) after photon and water mist particle collide, photon may be absorbed or scattered by water mist particle.When When, photon is absorbed by water mist, is otherwise scattered, r2It is derived from the equally distributed random number in [0,1] section for one.
(3) photon encounters water mist particle, if generating collision, and is not scattered by absorption.The new movement road of the photon Diameter is determined by the scattering phase function P (θ) of medium.In the plane perpendicular to photon transmission path, the new direction of propagationSide To value ber3It is derived from the equally distributed random number in [0,1] section for one.The angle of new direction and original route θ, i.e. angle of scattering.Enable r4It is derived from the equally distributed random number in [0,1] section for one, is metOne can be acquired A exact scatteringangleθ and r4It is corresponding.It finds outThe new direction of propagation of photon has just been obtained with θ both directions.
It is derived from the equally distributed digital r randomly generated in [0,1] section using 41、r2、r3、r4, fully describe light The interaction probabilistic model of son and water mist particle.This 4 random numbers play different works in Monte Carlo probabilistic models With:r1Determine the propagation distance between photon collides twice, r2Determine collision as a result, r3With r4Determine light after scattering The new direction of motion of son.
Step 5, the definition based on atmospheric visibility and multiple scattering algorithm model, simulation obtain the water that road table moisture film is splash Influence of the mist to visibility.
In meteorology, visibility is index with meteorological optical range, refers to incandescent lamp and sends out the directional light that colour temperature is 2700K The luminous flux of beam weaken in an atmosphere to initial value 5% by length.
By obtaining the optical diffusion characteristic parameter needed for the process of Monte Carlo simulation, writes matlab programs and realize as schemed Algorithm shown in 3 carries out Monte Carlo simulation, calculates the number of photons that a large amount of photons reach receiving plane after Multiple Scattering, by It is directly proportional to luminous flux in photon numbers, it is believed that when number of photons is reduced to the 5% of initial value, just to have reached the side of visibility distance Boundary calculates visibility from there through meteorological optical range principle.
It is 1.2m, the intersection point of sight bullet and ground centered on human eye according to driver's human eye height when stadia computation For radius, it is taken as 1.697m, design circular reception face.Finally, it is 5mm in water film thickness, when design speed 120km/h, 10000 The photon numbers that detection plane range can be reached in a photon are as shown in Figure 4.
Step 2-5 is repeated, it is corresponding to obtain the difference speed in different water film thickness h=0.5mm, 1mm, 2.5mm and 5mm Visibility and specification stopping sight distance SSD.When visibility is more than stopping sight distance, it is considered as safety, corresponding speed is safe speed.
As shown in figure 5, when water film thickness is 5mm, when speed 120km/h, visibility even can be down to 100m or so, Considerably increase the probability that major motor vehicle safety accident occurs.Different water film thickness h=0.5mm, 1mm, 2.5mm and 5mm are corresponded to Safe speed be respectively 93,96,101,106km/h.
In conclusion the present invention solves the problems, such as that rainy day wet road surface causes water mist to influence data to visibility and estimates. In addition to the implementation, the present invention can also have other embodiment.All technologies formed using equivalent substitution or equivalent transformation Scheme is fallen within the scope of protection required by the present invention.

Claims (8)

1. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film, which is characterized in that include the following steps:
Step 1, road table water film thickness is calculated according to rainfall intensity and pavement characteristics parameter;
Step 2, the water mist generation mechanism for crossing wet road surface according to vehicle and splashing calculates the water mist grain corresponding to different speeds Sub- concentration;
Step 3, the scattering properties parameter of water mist particle is calculated using Mie theory;
Step 4, it is based on monte carlo method, establishes the multiple scattering model that photon is propagated in water mist;
Step 5, the index based on atmospheric visibility and multiple scattering algorithm model, simulation obtain the water mist pair that road table moisture film is splash The influence of visibility.
2. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 1, special Sign is that in step 1, the road table water film thickness calculation formula is:
H=0.1258l0.6715·i-0.3147·r0.7786·TD0.7261
In above formula, h is road table water film thickness, unit mm;L is road surface drainage length, and i is drainage grade, and slope is synthesized by way of road Degree;R is rainfall intensity, unit mm/min;TD is pavement structural depth, unit mm.
3. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 1, special Sign is that in step 2, the water mist generation mechanism includes side wave SW, tire wave inception TP;The side wave is tire side The backward water mist splash, tire wave inception be rear tire generate dead astern to water mist.
4. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 3, special Sign is, being calculated in the water mist particle concentration corresponding to different speeds based on water film thickness in the step 2, side wave SW and The water calculation formula difference of tire wave inception TP is as follows:
Wherein, v is speed, unit m/s;B is tyre width, unit m;H is water film thickness unit m;γwIt is the density of water, 1000kg/m3;MRTP and MRSW is the water of SW and TP, unit kg/s respectively;K is that the non-recessed width of tire tread accounts for Than;hfilmIt is that tire rotates the water film thickness taken up every time;hgrooveIt is the water thickness on tyre surface.
5. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 4, special Sign is that the width accounting is 0.75;The h when depth of water is more than 0.0001mfilm0.0001m is taken, h when insufficientfilmIt is taken as the depth of water;Water H when being more than 0.01m deeplygroove0.01m is taken, h when insufficientgrooveIt is taken as the depth of water.
6. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 1, special Sign is, in step 3, extinction coefficient Kext, absorption coefficient KaWith scattering coefficient KsIt is the scattering properties ginseng of single water mist particle Number, accounting equation are:
Ka=Kext-Ks
Wherein, α is scale parameter, is determined by the wavelength X of irradiation light and the diameter D of water mist particle,bnReferred to as Mie Coefficient;Re expressions take real part.
7. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 1, special Sign is, in step 4, the Monte Carlo simulation photon multiple scattering is photodegradation that will launch from light source into single light Son builds the track of each photon with probability density.
8. a kind of method influenced on visibility based on Monte Carlo simulation road table moisture film according to claim 1, special Sign is that in steps of 5, in meteorology, visibility is index with meteorological optical range, refers to incandescent lamp and sends out colour temperature and is The luminous flux of the collimated light beam of 2700K weaken in an atmosphere to initial value 5% by length.
CN201810441203.2A 2018-04-27 2018-05-09 A method of visibility is influenced based on Monte Carlo simulation road table moisture film Pending CN108763661A (en)

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CN104655571A (en) * 2015-03-19 2015-05-27 云南省交通规划设计研究院 Device for simulating visibility test of drainage asphalt pavement under rainy day conditions

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Publication number Priority date Publication date Assignee Title
CN104655571A (en) * 2015-03-19 2015-05-27 云南省交通规划设计研究院 Device for simulating visibility test of drainage asphalt pavement under rainy day conditions

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Application publication date: 20181106