CN108305323B - Spline function-based wide and slow river channel shape modeling method and system - Google Patents
Spline function-based wide and slow river channel shape modeling method and system Download PDFInfo
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Abstract
The invention discloses a spline function-based modeling method and a spline function-based modeling system for a shape of a wide and slow river channel, wherein a plurality of river channel center line nodes are generated and connected to form a river channel center line; determining the section form of the river channel at the centerline node of each river channel; establishing a coordinate system by taking the center line node of the river channel as a reference point, and determining coordinates of two ends of the upper side and coordinates of two ends of the lower side of the river channel profile according to the depth of the river channel, the top width of the river channel and the bottom width of the river channel; acquiring a curve equation of the river channel profile by using a spline interpolation method; and the river channel sections of the plurality of river channel center line nodes are stacked in the three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model. Has the advantages that: the established river channel profile shape is biased to a wide and slow U shape, the method is suitable for braided river wide and slow river channel modeling, the wide and slow river channel shape is convenient to place a plurality of cardiac beach sedimentation bodies and sedimentation layers, and the relationship among the cardiac beaches is also convenient to depict.
Description
Technical Field
The invention relates to the technical field of oil reservoir description, in particular to a spline function-based wide and slow river channel shape modeling method and system.
Background
The traditional river modeling method (such as Fluvsim) based on the target is usually used for simulating the river channel shape with flat top and concave bottom, such as a meandering river, and the river channel section shape is gradually decreased from the deepest to the two sides, however, when the braided river modeling is performed, because the braided river channel has a large width-thickness ratio, a wide and gentle area exists at the bottom, and other types of deposits, such as cardiac beach, layer falling and the like, exist in the river channel, and at this time, the Fluvsim and other methods cannot depict these phenomena. However, a modeling method specially aiming at the river channel shape does not exist at present, so that a new river channel modeling method is urgently needed to be researched to solve the problem that the river channel shape is not enough to be described when the current target-based river channel modeling method is applied to braided river modeling.
Disclosure of Invention
The invention aims to overcome the technical defects, provides a spline function-based modeling method and a spline function-based modeling system for the shape of a wide and slow river channel, and solves the technical problems in the prior art.
In order to achieve the technical purpose, the technical scheme of the invention provides a spline function-based modeling method for the shape of a wide and slow river channel, which comprises the following steps:
s1, generating a plurality of river channel center line nodes, and connecting the river channel center line nodes to form a river channel center line;
s2, determining a river channel section form at each river channel midline node, wherein the river channel section form comprises a river channel depth, a river channel top width and a river channel bottom width;
s3, establishing a coordinate system by taking the river channel center line node as a reference point, and determining coordinates of two ends of the upper side of the river channel section and coordinates of two ends of the lower side of the river channel section according to the river channel depth, the river channel top width and the river channel bottom width;
s4, acquiring a curve equation of the river channel profile by using a spline interpolation method according to coordinates of two ends of the upper side of the river channel profile and coordinates of two ends of the lower side of the river channel profile;
s5, stacking river channel sections of a plurality of river channel center line nodes in a three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model.
The invention also provides a spline function-based modeling system for the shape of the wide and slow river channel, which comprises the following steps:
the river channel center line generation module: generating a plurality of river channel center line nodes, and connecting the river channel center line nodes to form a river channel center line;
river channel section shape determining module: determining a river channel section form at each river channel centerline node, wherein the river channel section form comprises river channel depth, river channel top width and river channel bottom width;
river channel section coordinate determination module: establishing a coordinate system by taking the river channel center line node as a reference point, and determining coordinates of two ends of the upper side of the river channel section and coordinates of two ends of the lower side of the river channel section according to the depth of the river channel, the width of the top of the river channel and the width of the bottom of the river channel;
river profile quantification module: acquiring a curve equation of the river channel profile by using a spline interpolation method according to coordinates of two ends of the upper side of the river channel profile and coordinates of two ends of the lower side of the river channel profile;
the river channel model generation module: and the river channel sections of the plurality of river channel center line nodes are stacked in the three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model.
Compared with the prior art, the invention has the beneficial effects that: according to the method, the river channel section morphology is determined, coordinates of each point of the river channel section are calculated, the flexibility of a spline function is combined with the existing geological model (the ratio of the width of the top of the river channel to the width of the bottom of the river channel and the like), a curve equation of the river channel section is obtained through the spline function, the river channel section is quantified in a coordinate system, and each river channel section is stacked to form a three-dimensional river channel model; when the ratio of the width to the thickness of the river channel is increased, the cross section shape of the river channel established by the method is biased to a wide and slow U shape, while the cross section shape of the traditional Fluvsim river channel is always V-shaped, and the bottom width of the traditional Fluvsim river channel approaches to 0; the method of the invention can establish a river channel three-dimensional model with a wide and slow river channel section shape, the bottom of the river channel three-dimensional model has a wide and slow area, the river channel three-dimensional model is suitable for the modeling of a braided river channel wide and slow type river channel, when other types of sedimentary bodies (such as braided river heart beaches and layers) need to be simulated in the river channel, the wide and slow river channel shape is convenient to put in a plurality of heart beach sedimentary bodies and deposition layers, and the relation between the heart beaches is also convenient to be drawn, and the traditional Fluvsim method does not have the characteristics because the simulated river channel is deviated to a V shape.
Drawings
FIG. 1 is a flow chart of a modeling method for a shape of a wide and slow river channel based on a spline function according to the present invention;
FIG. 2 is a structural block diagram of a spline-function-based modeling system for the morphology of a wide and slow river channel provided by the invention;
FIG. 3 is a schematic view of the river course direction and river course centerline;
fig. 4 is a schematic cross-sectional view of a river channel in a coordinate system.
In the drawings: 1. the system comprises a spline function-based wide and slow river channel form modeling system, a river channel central line generation module 11, a river channel section form determination module 12, a river channel section coordinate determination module 13, a river channel section quantification module 14, and a river channel model generation module 15.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The invention provides a spline function-based modeling method for a shape of a wide and slow river channel, which comprises the following steps:
s1, generating a plurality of river channel center line nodes, and connecting the river channel center line nodes to form a river channel center line;
s2, determining a river channel section form at each river channel midline node, wherein the river channel section form comprises a river channel depth, a river channel top width and a river channel bottom width;
s3, establishing a coordinate system by taking the river channel center line node as a reference point, and determining coordinates of two ends of the upper side of the river channel section and coordinates of two ends of the lower side of the river channel section according to the river channel depth, the river channel top width and the river channel bottom width;
s4, acquiring a curve equation of the river channel profile by using a spline interpolation method according to coordinates of two ends of the upper side of the river channel profile and coordinates of two ends of the lower side of the river channel profile;
s5, stacking river channel sections of a plurality of river channel center line nodes in a three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model.
The invention discloses a spline function-based modeling method for a morphology of a wide and slow river channel, which comprises the following steps of S2:
as shown in FIG. 4, the depth of the river includes the depth of the left side of the river (H)left＝|ZB1-ZC1|), right side depth of river (H)right＝|ZB2-ZC2I)); the left depth of the river channel at each river channel center line node is within a first preset range, and the left depth of the river channel at each river channel center line node is in Gaussian distribution; the right depth of the river channel at each river channel center line node is within a second preset range, and the right depth of the river channel at each river channel center line node is in Gaussian distribution; for the symmetrical riverway with the same depth on two sides of the riverway Hleft＝HrightFor the depth of two sides of the asymmetric river channel is not consistent;
width of river course top at each river course centerline node (W)top＝|XB2-XB1|) is in a third preset range, and the width of the top of the river channel at the midline node of each river channel is in Gaussian distribution;
width of river bottom at each river centerline node (W)bot＝|Xc2-Xc1|) is in a fourth preset range, and the width of the bottom of the river channel at the midline node of each river channel is in Gaussian distribution;
the ratio of the top width of the river channel to the bottom width of the river channel of each river channel section is a preset value.
The invention relates to a spline function-based modeling method for a shape of a wide and slow river channel, which is characterized in that a coordinate system is established by taking a center line node of the river channel as a reference point in step S3, and coordinates of two ends of the upper side and coordinates of two ends of the lower side of a river channel profile are determined according to the depth of the river channel, the top width of the river channel and the bottom width of the river channel.
River profile, T, as shown in FIG. 4iIs a river channel midline node, the upper side (river channel top) of the river channel section is B1B2, the lower side (river channel bottom) of the river channel section is C1C2, the left side of the river channel section is B1C1, the right side of the river channel section is B2C2, and T isiIs the midpoint of B1B2, C1, C2 are about TiSymmetry, the coordinates of B1, B2, C1, and C2 are: b1(0,0), B2 (W)top，0)、C1((Wtop-Wbot)/2,-Hleft)、C2((Wtop+Wbot)/2,-Hright)。
The invention discloses a spline function-based modeling method for a morphology of a wide and slow river channel, which comprises the following steps of S4:
the boundary of the river channel section is the upper side of the river channel section, the lower side of the river channel section, the left side of the river channel section and the right side of the river channel section;
river course section left side is connected river course section upper side left end, river course section lower side left end, river course section upper side right-hand member, river course section lower side right-hand member are connected to river course section right side.
The invention discloses a spline function-based modeling method for a morphology of a wide and slow river channel, which comprises the following steps of S4: the method for obtaining the curve equation of the river channel profile by using the spline interpolation comprises the following steps:
and performing cubic spline interpolation according to coordinates of B1, C1, B2 and C2 to obtain a curve equation A, wherein the curve equation A passes through B1-C1-C2-B2, the curve equation of the river section comprises the curve equation of the curve equation A and the curve equation of B1B2, and the curve equation of B1B2 is a straight line.
According to the spline function-based modeling method for the shape of the wide and slow river channel, after a curve equation of a river channel section is obtained in the step S4, segmentation points can be added in the section B1C1 and the section C2B2 to further limit the shape of the river channel, so that the river channel simulation is more accurate, and the specific method is as follows:
generating a first point set and a second point set, wherein the first point set is positioned near the left side of the river channel section, and the second point set is positioned near the right side of the river channel section;
acquiring a corrected river channel section curve equation passing through coordinates at two ends of the upper side of the river channel section, coordinates at two ends of the lower side of the river channel section, coordinates of a first point set and coordinates of a second point set by using a spline interpolation method;
the first point set is segmentation points added by the B1C1 segment, and the second point set is segmentation points added by the C2B2 segment; compared with the prior river channel profile curve equation, the corrected river channel profile curve equation also passes through the first point set and the second point set, so that the shapes of the left side of the river channel profile and the right side of the river channel profile are changed, and the simulation of the left side of the river channel profile and the right side of the river channel profile is more accurate.
According to the spline function-based modeling method for the shape of the wide and slow river channel, after a river channel section curve equation is obtained in step S4, in order to enable the simulated shape of the river channel section to better conform to the actual geological phenomenon, a Gaussian disturbance field Z (f) (x) can be added to a C1C2 section, wherein f is a Gaussian function, so that the bottom of the river channel has random fluctuation instead of a smooth straight line.
The invention discloses a spline function-based modeling method for a morphology of a wide and slow river channel, which comprises the following steps of S1:
setting a main direction of the river channel before generating a plurality of river channel center line nodes, wherein the main direction of the river channel is a straight line, the main direction of the river channel is determined according to a preset river channel azimuth angle, and each offset of the plurality of river channel center line nodes relative to the main direction of the river channel is in Gaussian distribution;
as shown in fig. 3, a is a main direction of the river channel, D is a node of a center line of the river channel, B is a center line of the river channel, and C is an offset of the node of the center line of the river channel relative to the main direction of the river channel;
specifically, the method for generating the river channel centerline node comprises the following steps:
determining the research area boundary where the starting point of the river channel is located according to a preset river channel azimuth angle, and randomly generating a river channel starting point position on the research area boundary, wherein the coordinate of the river channel starting point position is P (X)1,Y1) (ii) a And generating an inclination angle phi(s) of a line segment s consisting of the next node and the previous node in the river channel according to a Ferguson periodic disturbance model, wherein the calculation formula is as follows:
in the formula: k is 2 pi/lambda, and lambda is the wavelength;
h is a damping coefficient, and h is more than 0 and less than 1;
epsilon(s) is a disturbance value and is obtained through a one-dimensional Gaussian random function;
s is the distance between different nodes in the center line of the river channel;
phi(s) is the inclination angle of the line segment s, namely the trend of the center line of the river channel;
the coordinate position of the next node is:
Xi+1＝Xi+S×Cos(φ(s))
Yi+1＝Yi+S×Sin(φ(s))
and (4) calculating coordinates of all river channel center line node positions to complete construction of the river channel center lines.
In the technical scheme, the thickness of the river channel at the midline node of each river channel is in Gaussian distribution.
The invention also provides a spline function-based modeling system 1 for the morphology of the wide and slow river channel, which comprises:
river course central line generation module 11: generating a plurality of river channel center line nodes, and connecting the river channel center line nodes to form a river channel center line;
river channel profile shape determining module 12: determining a river channel section form at each river channel centerline node, wherein the river channel section form comprises river channel depth, river channel top width and river channel bottom width;
the river channel section coordinate determination module 13: establishing a coordinate system by taking the river channel center line node as a reference point, and determining coordinates of two ends of the upper side of the river channel section and coordinates of two ends of the lower side of the river channel section according to the depth of the river channel, the width of the top of the river channel and the width of the bottom of the river channel;
river profile quantification module 14: acquiring a curve equation of the river channel profile by using a spline interpolation method according to coordinates of two ends of the upper side of the river channel profile and coordinates of two ends of the lower side of the river channel profile;
the river channel model generation module 15: and the river channel sections of the plurality of river channel center line nodes are stacked in the three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model.
The spline function-based wide and slow river channel morphology modeling system 1 comprises a river channel section morphology determining module 12:
the river channel depth comprises the depth of the left side of the river channel and the depth of the right side of the river channel;
the left depth of the river channel at each river channel center line node is within a first preset range, and the left depth of the river channel at each river channel center line node is in Gaussian distribution;
the right depth of the river channel at each river channel center line node is within a second preset range, and the right depth of the river channel at each river channel center line node is in Gaussian distribution;
the width of the top of the river channel at each river channel center line node is within a third preset range, and the width of the top of the river channel at each river channel center line node is in Gaussian distribution;
the width of the bottom of the river channel at each river channel center line node is within a fourth preset range, and the width of the bottom of the river channel at each river channel center line node is in Gaussian distribution.
The invention relates to a spline function-based wide and slow river channel form modeling system 1, wherein a river channel section quantifying module 14 comprises:
the boundary of the river channel section is the upper side of the river channel section, the lower side of the river channel section, the left side of the river channel section and the right side of the river channel section;
river course section left side is connected river course section upper side left end, river course section lower side left end, river course section upper side right-hand member, river course section lower side right-hand member are connected to river course section right side.
The invention relates to a spline function-based wide and slow river channel form modeling system 1, wherein a river channel section quantifying module 14 comprises:
generating a first point set and a second point set, wherein the first point set is positioned near the left side of the river channel section, and the second point set is positioned near the right side of the river channel section;
and acquiring a corrected river channel section curve equation passing through coordinates at two ends of the upper side of the river channel section, coordinates at two ends of the lower side of the river channel section, coordinates of the first point set and coordinates of the second point set by using a spline interpolation method.
The spline function-based wide and slow river channel morphology modeling system 1 comprises a river channel section morphology determining module 12:
the ratio of the top width of the river channel to the bottom width of the river channel of each river channel section is a preset value.
Compared with the prior art, the invention has the beneficial effects that: according to the method, the river channel section morphology is determined, coordinates of each point of the river channel section are calculated, the flexibility of a spline function is combined with the existing geological model (the ratio of the width of the top of the river channel to the width of the bottom of the river channel and the like), a curve equation of the river channel section is obtained through the spline function, the river channel section is quantified in a coordinate system, and each river channel section is stacked to form a three-dimensional river channel model; when the ratio of the width to the thickness of the river channel is increased, the cross section shape of the river channel established by the method is biased to a wide and slow U shape, while the cross section shape of the traditional Fluvsim river channel is always V-shaped, and the bottom width of the traditional Fluvsim river channel approaches to 0; the method of the invention can establish a river channel three-dimensional model with a wide and slow river channel section shape, the bottom of the river channel three-dimensional model has a wide and slow area, the river channel three-dimensional model is suitable for the modeling of a braided river channel wide and slow type river channel, when other types of sedimentary bodies (such as braided river heart beaches and layers) need to be simulated in the river channel, the wide and slow river channel shape is convenient to put in a plurality of heart beach sedimentary bodies and deposition layers, and the relation between the heart beaches is also convenient to be drawn, and the traditional Fluvsim method does not have the characteristics because the simulated river channel is deviated to a V shape.
The above-described embodiments of the present invention should not be construed as limiting the scope of the present invention. Any other corresponding changes and modifications made according to the technical idea of the present invention should be included in the protection scope of the claims of the present invention.
Claims (8)
1. A spline function-based modeling method for the morphology of a wide and slow river channel is characterized by comprising the following steps:
s1, generating a plurality of river channel center line nodes, and connecting the river channel center line nodes to form a river channel center line;
s2, determining a river channel section form at each river channel midline node, wherein the river channel section form comprises a river channel depth, a river channel top width and a river channel bottom width;
the river channel depth comprises the depth of the left side of the river channel and the depth of the right side of the river channel;
the left depth of the river channel at each river channel centerline node is within a first preset range, and the left depth of the river channel at each river channel centerline node is in Gaussian distribution;
the right depth of the river channel at each river channel center line node is within a second preset range, and the right depth of the river channel at each river channel center line node is in Gaussian distribution;
the width of the top of the river channel at each river channel center line node is within a third preset range, and the width of the top of the river channel at each river channel center line node is in Gaussian distribution;
the width of the bottom of the river channel at each river channel center line node is within a fourth preset range, and the width of the bottom of the river channel at each river channel center line node is in Gaussian distribution;
s3, establishing a coordinate system by taking the river channel center line node as a reference point, and determining coordinates of two ends of the upper side of the river channel section and coordinates of two ends of the lower side of the river channel section according to the river channel depth, the river channel top width and the river channel bottom width;
s4, acquiring a curve equation of the river channel profile by using a spline interpolation method according to coordinates of two ends of the upper side of the river channel profile and coordinates of two ends of the lower side of the river channel profile;
s5, stacking river channel sections of a plurality of river channel center line nodes in a three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model.
2. The spline-function-based modeling method for the morphology of the wide and slow river channel according to claim 1, wherein in step S4:
the boundary of the river channel section is the upper side of the river channel section, the lower side of the river channel section, the left side of the river channel section and the right side of the river channel section;
river course section left side is connected river course section upper side left end, river course section lower side left end, river course section upper side right-hand member, river course section lower side right-hand member are connected to river course section right side.
3. The spline-function-based modeling method for the morphology of the wide and slow river channel according to claim 2, wherein step S4 is further performed after obtaining the curve equation of the river channel profile:
generating a first point set and a second point set, wherein the first point set is positioned near the left side of the river channel section, and the second point set is positioned near the right side of the river channel section;
and acquiring a corrected river channel section curve equation passing through coordinates at two ends of the upper side of the river channel section, coordinates at two ends of the lower side of the river channel section, coordinates of the first point set and coordinates of the second point set by using a spline interpolation method.
4. The spline-function-based modeling method for the morphology of the wide and slow river channel according to claim 1, wherein in step S2:
the ratio of the top width of the river channel to the bottom width of the river channel of each river channel section is a preset value.
5. The utility model provides a wide and slow river course form modeling system based on spline function which characterized in that includes:
the river channel center line generation module: generating a plurality of river channel center line nodes, and connecting the river channel center line nodes to form a river channel center line;
river channel section shape determining module: determining a river channel section form at each river channel centerline node, wherein the river channel section form comprises river channel depth, river channel top width and river channel bottom width;
the river channel depth comprises the depth of the left side of the river channel and the depth of the right side of the river channel;
the left depth of the river channel at each river channel centerline node is within a first preset range, and the left depth of the river channel at each river channel centerline node is in Gaussian distribution;
the right depth of the river channel at each river channel center line node is within a second preset range, and the right depth of the river channel at each river channel center line node is in Gaussian distribution;
the width of the top of the river channel at each river channel center line node is within a third preset range, and the width of the top of the river channel at each river channel center line node is in Gaussian distribution;
the width of the bottom of the river channel at each river channel center line node is within a fourth preset range, and the width of the bottom of the river channel at each river channel center line node is in Gaussian distribution;
river channel section coordinate determination module: establishing a coordinate system by taking the river channel center line node as a reference point, and determining coordinates of two ends of the upper side of the river channel section and coordinates of two ends of the lower side of the river channel section according to the depth of the river channel, the width of the top of the river channel and the width of the bottom of the river channel;
river profile quantification module: acquiring a curve equation of the river channel profile by using a spline interpolation method according to coordinates of two ends of the upper side of the river channel profile and coordinates of two ends of the lower side of the river channel profile;
the river channel model generation module: and the river channel sections of the plurality of river channel center line nodes are stacked in the three-dimensional coordinate system along the main direction of the river channel to form a three-dimensional river channel model.
6. The spline-function-based modeling system for the morphology of a wide and slow river channel according to claim 5, wherein the river channel profile quantification module comprises:
the boundary of the river channel section is the upper side of the river channel section, the lower side of the river channel section, the left side of the river channel section and the right side of the river channel section;
river course section left side is connected river course section upper side left end, river course section lower side left end, river course section upper side right-hand member, river course section lower side right-hand member are connected to river course section right side.
7. The spline-function-based modeling system for the morphology of a wide and slow river channel according to claim 6, wherein the river channel profile quantification module comprises:
generating a first point set and a second point set, wherein the first point set is positioned near the left side of the river channel section, and the second point set is positioned near the right side of the river channel section;
and acquiring a corrected river channel section curve equation passing through coordinates at two ends of the upper side of the river channel section, coordinates at two ends of the lower side of the river channel section, coordinates of the first point set and coordinates of the second point set by using a spline interpolation method.
8. The spline-function-based modeling system for river morphology according to claim 5, wherein in the river profile morphology determination module:
the ratio of the top width of the river channel to the bottom width of the river channel of each river channel section is a preset value.
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