Highway super-elevation section drainage system based on longest catchment path and setting method

Abstract

The application relates to the technical field of road engineering, in particular to a setting method of a highway super-high gentle section drainage system based on a longest water collection path, which comprises the following steps: field investigation; simplifying the maximum water collection path into a plane quadratic curve, taking a point where the maximum water collection path enters a water accumulation area as an original point O, taking the road center line direction of the O point as an X axis, and taking the vertical road center line direction as a Y axis to establish a plane coordinate system; determining the position of a starting point A point of the maximum water collection path; deriving a quadratic curve of the maximum water collection path according to the A point, the O point coordinates and the derivative of the maximum water collection path curve at the O point; and determining the setting angle of the water interception groove at different positions according to the longest water collection path to determine the number of water interception grooves. According to the application, the water interception groove position is determined according to the longest water collection path, the water interception groove angle is 90 DEG intersected with the maximum water collection path, water flow is collected to the maximum extent, water flow collection in the gentle section is blocked, and water accumulation is reduced.

Description

Technical Field

[0001] This invention relates to the field of road engineering technology, and in particular to a drainage system and its installation method for superelevation transition sections of highways based on the longest water catchment path. Background Technology

[0002] Superelevation transition sections on highways often have zero cross slope points and relatively small longitudinal slopes in some areas, resulting in insufficient combined gradients to quickly drain surface water, leading to road surface flooding. Furthermore, during highway operation, vehicle loads and environmental factors cause rutting and settlement of the asphalt pavement, altering the gradient and causing water accumulation. Road surface flooding significantly impacts vehicle safety and traffic efficiency on highways. Firstly, the reflection of light from flooded surfaces affects drivers' overall visibility, posing a safety hazard. Secondly, flooded roads greatly increase the risk of vehicle skidding, potentially leading to serious accidents.

[0003] Poor drainage in superelevation transition sections of highways can negatively impact driving safety, comfort, and road lifespan. Current conventional methods for treating water accumulation involve milling and repaving the road surface, which is time-consuming and costly. To effectively remove rainwater from the road surface, drainage is implemented in two ways, depending on the road's slope and width: decentralized overflow and centralized interception. Flood drainage diverts surface water from one side to the other. For highways with fewer lanes and a certain longitudinal slope, decentralized overflow is sufficient, but it cannot meet the drainage requirements of roads with gentle slopes. For highways with two or more lanes in one direction, a centralized interception drainage system must be considered at appropriate locations. The design of this interception drainage system is crucial for reducing road surface water accumulation. This invention utilizes the longest water runoff path and sets up intercepting ditches at different points along this path to block water accumulation. Simultaneously, drainage channels are carved at water accumulation points, effectively reducing road surface water accumulation. Summary of the Invention

[0004] To address the above shortcomings, this invention provides a drainage system and method for superelevation transition sections of highways based on the longest water catchment path. By determining the longest water catchment path for road surface water accumulation, intercepting ditches are set at different locations along the water catchment path to block water flow and effectively reduce road surface water accumulation.

[0005] To achieve the above objectives, this invention proposes a method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path. The drainage system includes a intercepting channel, and the method comprises the following steps:

[0006] (1) On-site surveys were conducted to determine the catchment and water accumulation areas, and three-dimensional road surface topographic data were obtained by collecting three-dimensional road surface models;

[0007] (2) The maximum catchment path of the catchment area is simplified to a planar quadratic curve y = ax 2 +bx+c, take the point where the maximum water catchment path enters the water accumulation area as the origin O(0,0), the direction of the road centerline at point O as the X-axis, and the direction perpendicular to the road centerline as the Y-axis, and establish a plane coordinate system; In the superelevation transition section, the road cross slope changes from 2% (3%) to -2% (-3%) at a constant rate of change. Therefore, the direction and magnitude of its combined slope with the longitudinal slope are constantly changing, so it can be simplified as a quadratic curve. The flow of rainwater is affected by it, and it is also assumed to be a quadratic curve;

[0008] (3) Determine the location of point A, the starting point of the maximum water catchment path;

[0009] (4) Based on the coordinates of points A and O, and the derivative of the maximum water catchment path curve at point O, the quadratic curve of the maximum water catchment path is derived, which is the maximum water catchment path curve.

[0010] (5) Determine the number of intercepting channels based on the longest water catchment path;

[0011] (6) The intercepting trough is set perpendicular to the tangent of the longest water flow path curve. The setting angle of the intercepting trough at different locations is determined according to the longest water flow path curve.

[0012] Preferably, in the above-mentioned method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path, in step (3), the flow velocity at point O is v, and the kinetic energy of the flowing water is KE = 0.5 * mv, as measured on-site. 2 Based on the principle that gravitational potential energy is converted into kinetic energy, the elevation difference H between point A and point O can be calculated:

[0013] mgH = 0.5 * mv 2 H = 0.5v 2 / g;

[0014] In the 3D model of the road surface, find the point on the roadside line with an elevation difference of H from point O; this is point A, the starting point of the maximum water catchment path. After determining the location of point A, the coordinates of point A in the plane coordinate system are (x...). A y A ).

[0015] Preferably, in the above-mentioned method for setting up a drainage system for the superelevation transition section of a highway based on the longest catchment path, the flow velocity at point O, v, is determined by on-site measurement. Specifically, the process involves testing on a rainy day with a rainfall intensity of q, measuring the flow velocity v0 using a buoy method or a current meter method, and determining the maximum rainfall intensity over the past five years as q. max The flow velocity under the maximum rainfall intensity within one year is calculated by multiplying the rainfall amount by a correction factor, where q ≤ q. max The corrected velocity is v = v0 * (1 + lg(q)).max / q)), when q>q max We can directly take v = v0 to obtain the flow velocity v at point O.

[0016] Preferably, in the above-mentioned method for setting up a drainage system for a superelevation transition section of a highway based on the longest catchment path, in step (2), the equation of the plane quadratic curve is: y = ax 2 +bx+c; In step (4), point O is the point that enters the waterlogged area along the maximum water catchment path. After the rainwater flows to point O, its velocity in the Y direction is 0, that is, the derivative of point O on the maximum water catchment path curve is zero. Based on the coordinates of point A and point O of the parabola, and the derivative at point O, calculate:

[0017]

[0018] Where a, b, and c are the parameters of the quadratic curve; calculated using the above formula:

[0019] a = y A / x A 2 b = 0, c = 0;

[0020] The quadratic curve of the maximum catchment path is:

[0021] Y = (y A / x A 2 )X 2 .

[0022] Preferably, in the above-mentioned method for setting up a drainage system for a superelevation transition section of a highway based on the longest water catchment path, in step (5), if the length of the longest water catchment path in the X-axis direction is no more than 10m, then only one intercepting ditch is set up 1m upstream of the water accumulation area; if 10m < the length of the longest water catchment path in the X-axis direction is ≤ 20m, then intercepting ditches are set up 1m upstream of the water accumulation area and at the middle position of the longest water catchment path; if the length of the longest water catchment path in the X-axis direction is > 20m, then one intercepting ditch is set up 1m upstream of the water accumulation area, and then intercepting ditches are set up at intervals of 10m. All the above distances are distances to the Y-axis of the coordinate system, denoted as x. i i = 1, 2, 3..., which are the serial numbers of the intercepting troughs. The closer the intercepting trough is to the water accumulation area, the smaller the serial number.

[0023] Preferably, in the above-mentioned method for setting up a drainage system for a superelevation transition section of a highway based on the longest catchment path, step (6) specifically involves: differentiating the longest catchment path curve to obtain its derivative function Y' = 2(y A / x A 2 )X;

[0024] Based on the longest water catchment path curve and x i We can obtain point P at the location where the intercepting trough is to be set up. i The coordinates are: (x i , (y A / x A 2 )x i 2 ), P i Located on the maximum catchment path curve;

[0025] Then P i The derivative of the curve y Pi ’ for:

[0026] y Pi ’ =2(y A / x A 2 )x i ;

[0027] Point P i The derivative at point P is the curve at point P. i The slope K of the tangent at the point Pi :

[0028] K Pi =y Pi ’ =2(y A / x A 2 )x i ;

[0029] The intercepting channel is set so that it is perpendicular to the tangent of the longest water catchment path curve. Therefore, the slope of the straight line coinciding with the i-th intercepting channel is K. i =1 / K Pi =1 / (2(y) A / x A 2 )x i );

[0030] Therefore, the setting angle θ of the i-th intercepting trough can be obtained. i for:

[0031] θ i =arctan(1 / K) Pi )=arctan(1 / (2(y A / x A 2 )x i ));

[0032] Angle θ iThe angle between the water interception tank and the X-axis is used to obtain the setting angle of the water interception tank at different positions.

[0033] Preferably, the above-mentioned method for setting up a drainage system for a superelevation transition section of a highway based on the longest water catchment path further includes setting up a drainage ditch every 3-5m according to the length and depth of the water accumulation area, with the angle between the drainage ditch and the centerline of the road being 30-40 degrees; cutting water interception ditch and drainage ditch on the road surface, and after the cutting is completed, applying epoxy resin to the surface of the ditch to improve durability and prevent rainwater infiltration.

[0034] Preferably, in the above-described method for setting up a drainage system for superelevation transition sections of highways based on the longest catchment path, the length of the intercepting ditch is determined according to the location of the longest catchment path, ensuring that the intercepting ditch can cut off all water flow towards the waterlogged area. The specific length of the drainage ditch is determined according to the width of the waterlogged area. One section of the intercepting ditch connects to the existing drainage system, such as the longitudinal drainage ditch in the central median or the roadside ditch, to discharge water outside the roadbed area.

[0035] A drainage system for superelevation transition sections of highways based on the longest water catchment path includes intercepting troughs and drainage troughs. The intercepting troughs are set up according to the above-described method. The intercepting troughs are segmented intercepting troughs, consisting of several small intercepting troughs. Each small drainage trough includes a wall panel, a panel, several first drainage holes, and several second drainage holes. The first drainage holes and second drainage holes are located on the panel.

[0036] Preferably, in the above-mentioned drainage system for the superelevation transition section of a highway based on the longest water catchment path, the first drainage hole has an oblique opening facing the water flow, and the opening has a rounded chamfer; the second drainage hole has a circular flared opening, and the opening is also rounded chamfered.

[0037] Preferably, in the above-mentioned drainage system for the superelevation transition section of a highway based on the longest water catchment path, the opening width of the first drainage hole is no more than 2.0 cm and the length is 30 cm; the outermost diameter of the second drainage hole is 3.0 cm and the inner diameter is 2.0 cm.

[0038] Preferably, in the above-mentioned drainage system for the superelevation transition section of a highway based on the longest water catchment path, the wall panel has a height of 7cm and a thickness of 3cm; the panel width is 15cm and the thickness is 3cm.

[0039] Compared with the prior art, the beneficial effects of the present invention are:

[0040] 1. The present invention provides a method for setting up a drainage system for superelevation transition sections of highways based on the longest water catchment path. The location of the intercepting trough is determined according to the longest water catchment path, and the angle of the intercepting trough intersects the maximum water catchment path at 90° to maximize the collection of water flow and block the water flow from accumulating in the gentle section. By combining the intercepting trough and the drainage trough, the water accumulation area and water depth are minimized.

[0041] 2. The drainage system for superelevation transition sections of highways based on the longest water catchment path of the present invention can block the collection of rainwater from upstream through the intercepting trough. At the same time, the drainage holes of the intercepting trough face the direction of water flow, making it easier to collect rainwater. The rounded chamfer treatment reduces the impact stress when tires hit, improving the durability of the intercepting trough.

[0042] 3. Compared with the conventional method of setting a drainage ditch that is perpendicular to the center line of the road surface and runs through half of the road surface in the water catchment area, the water flow depth in the drainage ditch perpendicular to the maximum water catchment path is reduced by more than 10% under the same size, thereby improving the drainage capacity.

[0043] 4. Compared with not setting a drainage trough or setting a drainage trough in the conventional water catchment area, the water depth in the water accumulation area can be reduced by 70% and 40% respectively. Combined with the drainage trough engraved in the water accumulation area, the water in the water accumulation area can be quickly drained, eliminating water accumulation and ensuring driving safety. Attached Figure Description

[0044] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. In all the drawings, similar elements or parts are generally identified by similar reference numerals. In the drawings, the elements or parts are not necessarily drawn to scale.

[0045] Figure 1 This is a schematic diagram of the longest water catchment path in Embodiment 1 of the present invention.

[0046] Figure 2 This is a schematic diagram of the water drainage system at the left-turn uphill section with a maximum water catchment path length of 18m in the x-axis direction in Embodiment 1 of the present invention.

[0047] Figure 3 This is a cross-sectional view of the intercepting trough in Embodiment 1 of the present invention;

[0048] Figure 4 This is a top view of the intercepting trough in Embodiment 1 of the present invention;

[0049] Explanation of key figure labels:

[0050] 1-Wall panel, 2-Panel, 3-First drain hole, 4-Second drain hole. Detailed Implementation

[0051] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention.

[0052] In the description of this invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on this invention.

[0053] In the description of this invention, "several" means one or more, "multiple" means two or more, "greater than," "less than," and "exceeding" are understood to exclude the stated number, while "above," "below," and "within" are understood to include the stated number. Where the terms "first," "second," and "third" are used for descriptive purposes and to distinguish technical features, they should not be construed as indicating or implying relative importance, or implicitly indicating the number of indicated technical features, or implicitly indicating the sequential relationship of the indicated technical features.

[0054] In the description of this invention, it should be noted that, unless otherwise explicitly specified and limited, the terms "installation," "connection," and "linking" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; and they can refer to the internal connection of two components. Those skilled in the art can understand the specific meaning of the above terms in this invention based on the specific circumstances. Furthermore, the technical features involved in the different embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.

[0055] Example 1

[0056] This embodiment provides a method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path. The drainage system includes a intercepting channel and a drainage channel, and includes the following steps:

[0057] (1) On-site survey to determine the catchment area and water accumulation area, and collect the three-dimensional model of the road surface through a multi-functional inspection vehicle with laser cross-section scanning to obtain the three-dimensional topographic data of the road surface;

[0058] (2) The maximum catchment path of the catchment area is simplified to a planar quadratic curve y = ax 2Let O(0, 0) be the point where the maximum water flow path enters the waterlogged area. The direction of the road centerline at point O is the X-axis, and the direction perpendicular to the road centerline is the Y-axis. Establish a planar coordinate system as follows: Figure 1 As shown; in the superelevation transition section, the road cross slope changes from 2% (3%) to -2% (-3%) at a constant rate of change. Therefore, the direction and magnitude of the combined slope with the longitudinal slope are constantly changing, so it can be simplified as a quadratic curve. The flow of rainwater is affected by it, and it is also assumed to be a quadratic curve.

[0059] (3) The flow velocity at point O is v (measured on-site using the buoy method or current meter method), and the kinetic energy of the flowing water is KE = 0.5 * mv. 2 Based on the principle that gravitational potential energy is converted into kinetic energy, the elevation difference H between point A and point O can be calculated:

[0060] mgH = 0.5 * mv 2 H = 0.5v 2 / g;

[0061] In the 3D model of the road surface, find the point on the roadside line with an elevation difference of H from point O; this is point A, the starting point of the longest water catchment path. After determining the location of point A, the 3D model of the road surface contains the planar information of the longest water catchment path curve. Based on the 3D model of the road surface, the coordinates of point A in the planar coordinate system are (x...). A y A ).

[0062] (4) Point O is the point that enters the water accumulation area along the maximum water catchment path. If water is to accumulate, the speed of the rainwater in the Y direction is 0 after it flows to point O, that is, the derivative of the maximum water catchment path curve at point O is zero. Based on the coordinates of the parabola at point A and point O, and the derivative at point O, the following formula is obtained:

[0063]

[0064] Where a, b, and c are the parameters of the quadratic curve; calculated using the above formula:

[0065] a = y A / x A 2 b = 0, c = 0;

[0066] The quadratic curve for obtaining the maximum water catchment path is:

[0067] Y = (y A / x A 2 )X 2 .

[0068] (5) The number of intercepting channels is determined based on the longest water catchment path. Specifically: if the longest water catchment path is less than 10m in the X-axis direction, then only one intercepting channel is set up 1m upstream of the water accumulation area; if 10m < the longest water catchment path in the X-axis direction < 20m, then intercepting channels are set up 1m upstream of the water accumulation area and at the middle of the longest water catchment path; if the longest water catchment path is greater than 20m in the X-axis direction, then one intercepting channel is set up 1m upstream of the water accumulation area, and then intercepting channels are set up at intervals of 10m. All the above distances are distances to the Y-axis of the coordinate system, denoted as x. i i = 1, 2, 3..., which are the serial numbers of the intercepting troughs. The closer the intercepting trough is to the water accumulation area, the smaller the serial number.

[0069] (6) Determine the setting angle of the intercepting trough at different locations based on the longest water catchment path curve. Setting the intercepting trough perpendicular to the tangent of the longest water catchment path curve can maximize the collection of water flow and prevent water flow from accumulating in the gentle section. The specific process for determining the angle of the intercepting trough is as follows:

[0070] Differentiating the longest catchment path curve, we obtain its derivative function Y' = 2(y A / x A 2 )X;

[0071] Based on the longest water catchment path curve and x i We can obtain point P at the location where the intercepting trough is to be set up. i The coordinates are: (x i , (y A / x A 2 )x i 2 ), P i Located on the maximum catchment path curve;

[0072] Then P i The derivative of the curve y Pi ’ for:

[0073] y Pi ’ =2(y A / x A 2 )x i ;

[0074] Point P i The derivative at point P is the curve at point P. i The slope K of the tangent at the point Pi :

[0075] K Pi =y Pi ’ =2(yA / x A 2 )x i ;

[0076] The intercepting channel is set so that it is perpendicular to the tangent of the longest water catchment path curve. Therefore, the slope of the straight line coinciding with the i-th intercepting channel is K. i =1 / K Pi =1 / (2(y) A / x A 2 )x i );

[0077] Therefore, the setting angle θ of the i-th intercepting trough can be obtained. i for:

[0078] θ i =arctan(1 / K) Pi )=arctan(1 / (2(y A / x A 2 )x i ));

[0079] Angle θ i The angle between the water interception tank and the X-axis is used to obtain the setting angle of the water interception tank at different positions.

[0080] (7) According to the length and depth of the water accumulation area, a drainage ditch is set every 3-5m. The angle between the drainage ditch and the center line of the road is between 30-40 degrees, preferably 34 degrees. This will reduce the impact of vehicle impact load on the groove without affecting driving comfort and drainage efficiency, and ensure the performance of the road surface.

[0081] (8) The length of the intercepting trough is determined based on the location of the longest water catchment path to ensure that the intercepting trough can cut off all water flow to the water accumulation area. The specific length of the drainage trough is determined based on the width of the water accumulation area.

[0082] (9) After the water interception channel and drainage channel are cut, apply epoxy resin to the surface of the channel to improve durability and prevent rainwater infiltration.

[0083] The schematic diagram of the drainage system at the left-turn uphill section with a maximum catchment path length of 18m in the x-axis direction is shown below. Figure 2 As shown, based on the above method, a water interception channel was determined to be installed 1m upstream of the water accumulation area and at the midpoint of the longest water catchment path (i.e., 9m long in the x-axis direction). The water interception channel is perpendicular to the tangent of the longest water catchment path curve and spans the water catchment area. According to the actual investigation, the length of the water accumulation area is 14m, and there are no areas with a water depth exceeding 5mm. Therefore, four drainage channels were carved, with a spacing of 4m between them.

[0084] The drainage system for superelevation transition sections of highways includes intercepting ditches and drainage ditches. The intercepting ditches are installed as described above, and each intercepting ditches is a segmented system composed of several smaller segments, such as... Figure 3 and Figure 4 As shown, the small drainage channel includes a wall panel 1, a panel 2, a first drainage hole 3, and a second drainage hole 4. The panel 1 is provided with a number of first drainage holes 3 and a number of second drainage holes 4.

[0085] The first drain hole 3 is an angled opening facing the water flow, and the opening is rounded to reduce the impact stress when the tire hits it. The opening width does not exceed 2.0cm, and the length of a single drain hole is 30cm.

[0086] The second drain hole 4 is a circular flared opening with an outermost diameter of 3.0cm and an inner diameter of 2.0cm. The opening is also finished with a rounded chamfer.

[0087] The small section of the intercepting trough is 1m long, with a wall panel height of 7cm and a thickness of 3cm; the panel width is 15cm and the thickness is 3cm. Each small section of the intercepting trough is equipped with two first drainage holes and no less than four second drainage holes.

[0088] Comparison 1: The intercepting trough in the middle position is set in the conventional way: it is perpendicular to the center line of the road surface and runs through the entire half of the road surface in the middle position of the water catchment area, and the size of the intercepting trough is the same; compared with the intercepting trough set in this invention, the water flow depth of the intercepting trough set in this invention with the vertical maximum water catchment path is reduced by more than 10%, which improves the drainage capacity.

[0089] Comparison 2: No drainage trough, everything else is the same;

[0090] Comparison 3: Drainage ditch setup: As is customary, only one drainage ditch is set in the middle of the catchment area, perpendicular to the center line of the road surface and running through the entire half of the road surface; everything else is the same.

[0091] Compared with Comparative 2 and Comparative 3, the drainage system set by the method of the present invention reduces the water depth in the water accumulation area by 70% and 40% respectively; combined with the drainage grooves engraved in the water accumulation area, the water accumulation in the water accumulation area can be quickly drained, eliminating water accumulation and ensuring driving safety.

[0092] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path, characterized in that, The drainage system includes a water interception channel, and the method of setting it up includes the following steps: (1) On-site surveys were conducted to determine the catchment area and water accumulation area, and three-dimensional road surface topographic data were obtained by collecting three-dimensional road surface models; (2) The maximum catchment path of the catchment area is simplified to a plane quadratic curve y=ax 2 Let O(0, 0) be the point where the maximum water catchment path enters the waterlogged area. Let the direction of the road centerline at point O be the X-axis and the direction perpendicular to the road centerline be the Y-axis. Establish a plane coordinate system. In the superelevation transition section, the road cross slope changes from 2% to -2% at a constant rate. Therefore, the direction and magnitude of the combined slope with the longitudinal slope are constantly changing. Thus, it can be simplified as a quadratic curve. The flow of rainwater is affected by it, and it is also assumed to be a quadratic curve. (3) Determine the location of point A, the starting point of the maximum catchment path; (4) Based on the coordinates of points A and O, and the derivative of the maximum water catchment path curve at point O, the quadratic curve of the maximum water catchment path is derived, which is the maximum water catchment path curve. (5) Determine the number of intercepting channels based on the longest water catchment path; (6) The intercepting trough is set perpendicular to the tangent of the longest water collection path curve. The setting angle of the intercepting trough at different locations is determined according to the longest water collection path curve.

2. The method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path according to claim 1, characterized in that, In step (3), the flow velocity at point O is v, and the kinetic energy of the flowing water is KE=0.5, as measured on-site. mv 2 Based on the principle that gravitational potential energy is converted into kinetic energy, the elevation difference H between point A and point O can be calculated: mgH=0.5 mv 2 ,H=0.5v 2 / g; In the 3D model of the road surface, find the point on the roadside line with an elevation difference of H from point O; this is point A, the starting point of the maximum water catchment path. After determining the location of point A, the coordinates of point A in the plane coordinate system are (x...). A y A ).

3. The method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path according to claim 1, characterized in that, In step (2), the equation of the plane quadratic curve is: y=ax 2 +bx+c; In step (4), the derivative at point O on the maximum catchment path curve is zero. Based on the coordinates of point A and point O on the parabola, and the derivative at point O, calculate: Where a, b, and c are the parameters of the quadratic curve; calculated using the above formula: a=y A / x A 2 ,b=0,c=0; The quadratic curve of the maximum catchment path is: Y=(y A / x A 2 )X 2 。 4. The method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path according to claim 1, characterized in that, In step (5), if the longest water catchment path is less than 10m in the X-axis direction, then only one intercepting trough is set up 1m upstream of the water accumulation area. If the longest water catchment path in the X-axis direction is less than or equal to 20m, then intercepting troughs should be installed 1m upstream of the waterlogged area and at the midpoint of the longest water catchment path. If the longest water catchment path in the X-axis direction is greater than 20m, then an intercepting trough should be installed 1m upstream of the waterlogged area, followed by intercepting troughs at 10m intervals. All these distances are distances to the Y-axis of the coordinate system, denoted as x. i i = 1, 2, 3..., which are the serial numbers of the intercepting troughs. The closer the intercepting trough is to the water accumulation area, the smaller the serial number.

5. The method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path according to claim 1, characterized in that, In step (6), specifically, the derivative of the longest catchment path curve is calculated to obtain its derivative function Y'=2(y A / x A 2 )X; Based on the longest water catchment path curve and x i We can obtain point P at the location where the intercepting trough is to be set up. i The coordinates are: (x i , (y A / x A 2 )x i 2 ), P i Located on the maximum catchment path curve; Then P i The derivative of the curve y Pi ’ for: and Pi ’ =2(and A / x A 2 )x i ; Point P i The derivative at point P is the curve at point P. i The slope K of the tangent at the point Pi : K Pi =y Pi ’ =2(and A / x A 2 )x i ; The intercepting channel is set so that it is perpendicular to the tangent of the longest water catchment path curve. Therefore, the slope of the straight line coinciding with the i-th intercepting channel is K. i =1 / K Pi =1 / (2(y A / x A 2 )x i ); Therefore, the setting angle θ of the i-th intercepting trough can be obtained. i for: θ i =arctan(1 / K Pi )=arctan(1 / (2(y A / x A 2 )x i )); Angle θ i The angle between the water interception tank and the X-axis is used to obtain the setting angle of the water interception tank at different positions.

6. The method for setting up a drainage system for a highway superelevation transition section based on the longest catchment path according to claim 1, characterized in that, This also includes setting up a drainage ditch every 3-5 meters according to the length and depth of the water accumulation area, with the angle between the drainage ditch and the centerline of the road being 30-40 degrees; cutting water interception ditch and drainage ditch on the road surface, and after the cutting is completed, applying epoxy resin to the surface of the ditch to improve durability and prevent rainwater infiltration.

7. A drainage system for superelevation transition sections of highways based on the longest catchment path, characterized in that, The drainage system is obtained by the setting method according to any one of claims 1 to 6, and includes a water interception trough and a drainage trough. The water interception trough includes a trough wall, a panel, a plurality of first drainage holes, and a plurality of second drainage holes. The first drainage holes and the second drainage holes are arranged on the panel.

8. The drainage system for superelevation transition sections of highways based on the longest catchment path according to claim 7, characterized in that, The first drain hole has an angled opening facing the water flow, and the opening has a rounded chamfer; the second drain hole has a rounded flared opening, and the opening also has a rounded chamfer.

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