CN105205311B - A kind of complex number algorithm that stratigraphic section is drawn - Google Patents
A kind of complex number algorithm that stratigraphic section is drawn Download PDFInfo
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Abstract
The invention discloses a kind of stratigraphic section draw complex number algorithm, comprising the following steps: using actual measurement stratigraphic section azimuth define with plural number argument define between similitude seek total conducting wire direction with complex operation feature；The new coordinate system for establishing total conducting wire direction obtains conducting wire plan view position using plural feature under new coordinate system；It is secondary round and smooth using 3 points according to the landform inflection point that conducting wire plan view is determined in the projection in total conducting wire direction and accumulative height difference under new coordinate system, draw round and smooth rolling topography；All kinds of boundary lines draftings of stratigraphic section, lithology line drafting and the filling of lithology decorative pattern: the length in all kinds of boundary lines of automatic distinguishing are surveyed, automatic gradual change draws lithology line, and automatic filling lithology decorative pattern automatically ensures that lithology spends grave to change with lithology line apparent dip and change.The specification that actual measurement stratigraphic section is strictly used for the processing of details obtains its projected position according to the characteristics of complex operation, inputs the cumbersome work that simple, operation is rapid, avoids interaction.
Description
Technical field
The present invention relates to geologic prospect field, in particular to a kind of complex number algorithm of stratigraphic section drafting.
Background technique
Surveying stratigraphic section is link particularly important in Regional Geological Survey, is that one area of comprehensive study is basic
Geological condition, determine stratum rock composition, lithofacies, contact relation and extinct plants and animal preservation situation element task, in region
It is indispensable in geologic mapping.But the indoor arrangement of measured section data and Drawing Figures, computationally intensive, work repetition is cumbersome,
Influence the progress of whole region geologic survey.For this purpose, numerous scholars make the drafting of sectional view and its realization in a computer
Numerous studies: Yang Guangzhong etc. discusses formation thickness calculation formula, propose the general formula for easily facilitating computer disposal；Square generation
The aided production method for having studied fold building in geologic map cut section such as bright；Zhou Guoku etc. and Liang Minghong are studied respectively
The bearing calibration of actual measurement stratigraphic section polygon control survey point；Wearing the new year proposes the new of the total conducting wire direction of determining sectional view and position
Thinking；Wang Zhu realizes that engineering drawing cuts the drafting of stratigraphic section by Delphi language manipulation AutoCAD；Liu Jie etc. is utilized
Mapgis platform and C Plus Plus realize the drafting of figure cut section；Pei Lina realizes figure sectility using ArcEngine as platform
Face automatically generates；Chen Zhijun etc. realizes automatically generating and interact and repairing volume function for figure cut section based on mapgis platform；Poplar
Benefit appearance etc. establishes the measured section with human-computer interaction and draws journey using the second development interface and .NET development language of CAD
Sequence；Li Yi just etc. using IDL visible language and VisualFoxPro6.0 with developing the actual measurement with 12 function sub-modules
Layer section compilation system；Etc..The drafting work for surveying stratigraphic section at this stage mostly uses man-machine interactively mode, needs to soft
Part or the system of exploitation, which have, to be well understood by and grasps, and the popularization of section computer graphics, and man-machine interactively mistake are unfavorable for
Journey is very time-consuming.It therefore, there is no need to the grasp that there is higher degree to software, it will be able to which stratigraphic section is surveyed in fast automatic drafting
With particularly important realistic meaning.
Notice that geology measured data in the similitude that azimuth defines and plural argument defines, makes full use of complex operation
Feature realizes actual measurement stratigraphic section and does not need interaction and quick mapping from initial data to stratigraphic section.
Summary of the invention
Technical problem to be solved by the invention is to provide the complex number algorithms that a kind of stratigraphic section is drawn, and solve geology
Personnel draw the problem for needing skillfully to grasp geology software when stratigraphic section；It solves actual measurement stratigraphic section and draws time-consuming
The problem of effort；Realize that stratigraphic section is fully automated and efficient drafting, and stratigraphic section is in strict accordance with stratigraphic section
Figure rendering request is drawn to solve the above-mentioned many defects caused by the prior art.
To achieve the above object, the present invention provides technical solution below: a kind of complex number algorithm that stratigraphic section is drawn,
The following steps are included:
1) the total conducting wire direction of section is sought: using between actual measurement stratigraphic section data bearing definition and plural argument definition
It is similar, make that geographic north, east be real with complex plane respectively, the imaginary axis is overlapped, with complex operation feature, seek total conducting wire direction；
2) projection of the conducting wire plan view in new coordinate-system is realized: being established the new coordinate system in total conducting wire direction, is sat newly
Mark system is lower to obtain conducting wire plan view position using plural feature；
3) drafting of actual measurement stratigraphic section rolling topography: in the projection in total conducting wire direction and added up according to conducting wire plan view
The landform inflection point that height difference determines, it is secondary round and smooth using 3 points, draw round and smooth rolling topography；
4) all kinds of boundary lines of actual measurement stratigraphic section are drawn, lithology line is drawn and the filling of lithology decorative pattern: according to institute's input file
Middle marked boundary line and lithology thickness profile value, carry out boundary line and lithology line is drawn；
5) processing of details strictly uses the processing of details the specification of actual measurement stratigraphic section, according to complex operation
Feature obtains its projected position.
Preferably, in the step 1), calculate it is horizontal away from and height difference:
Wherein WiFor it is each lead it is flat away from hiFor each height difference led, HnTo add up height difference, LiFor each oblique distance led, βi
For each terrain slope angle led.
Preferably, in the step 1), using complex operation formula, total conducting wire direction is sought:
Wherein A is total conducting wire direction, ZiRepresentative plural number, W are led for iiIt is led for i flat away from γiFor conducting wire azimuth, Re
Real part is represented, Im represents imaginary part.
Preferably, in the step 2), the space of conducting wire plan view each point is sought under new coordinate system using complex operation
Position:
Wherein ZiRepresentative plural number, x are led for ii、yiIt is each conducting wire in the new transverse and longitudinal coordinate value sat under system, Xn、YnIt is tired
Transverse and longitudinal coordinate value is counted, i.e., traverse point is in the spatial position of new coordinate system, Wi、A、γiConductor flat respectively away from, total conducting wire direction and
Conducting wire azimuth.
Preferably, in the step 3), round and smooth using 3 quadratic equations progress, that is, seek quadratic equation with one unknown group is
Number, and drawn by this equation, round and smooth rolling topography can be obtained, equation is as follows:
Wherein xi,j、yi,jBe it is discrete after transverse and longitudinal coordinate, i represents i-th section of hypsography, and j represents j-th of discrete point,
A, b, c are equation coefficient to be asked；
Apparent dip is calculated using following equation:
Tan θ=tan ξ × cos (λ-A)
Wherein θ is apparent dip, and ξ is true dip angle, and λ is dip direction, and A is total conducting wire direction.
Preferably, in the step 4), the thickness of each layering is calculated by following equations group on measured section:
Wherein LHiFor every layering thickness, LET is the distance of i layers of two-end-point.
It is using the beneficial effect of above technical scheme: algorithm of the invention, it is fixed using actual measurement stratigraphic section data orientation
Justice defined to plural argument between it is similar, make that geographic north, east is real with complex plane respectively, the imaginary axis is overlapped, it is special with complex operation
Point seeks total conducting wire direction；Then the new coordinate system for establishing total conducting wire direction, is led under new coordinate system using plural feature
Line plan view position；Then the landform inflection point determined according to conducting wire plan view in the projection in total conducting wire direction and accumulative height difference, is adopted
It is secondary round and smooth with 3 points, draw round and smooth rolling topography；According to the boundary line and lithology thickness profile marked in institute's input file
Value, carries out boundary line and lithology line is drawn；The specification that actual measurement stratigraphic section is strictly used for the processing of details, according to complex operation
The characteristics of obtain its projected position.
Detailed description of the invention
Fig. 1 is program flow diagram of the invention；
Fig. 2 complex plane and geographical coordinate overlapping seek total conducting wire direction schematic diagram；
The foundation of the new coordinate system of Fig. 3 and the realization schematic diagram of conducting wire plan view；
3 points of Fig. 4 round and smooth actual measurement stratigraphic section rolling topography schematic diagrames；
Fig. 5 stratigraphic section boundary line is drawn, lithology line is drawn and lithology fills schematic diagram；
Fig. 6 is the calculating of the actual measurement stratigraphic section in ten thousand field geological mapping of In Chaohu City, Anhui Province In Fenghuangshan Area 1:5
Machine realizes example.
Specific embodiment
The preferred embodiment that the invention will now be described in detail with reference to the accompanying drawings.
As shown in Figure 1, the complex number algorithm that a kind of stratigraphic section is drawn, comprising the following steps:
1) the total conducting wire direction of section is sought: using between actual measurement stratigraphic section data bearing definition and plural argument definition
It is similar, make that geographic north, east be real with complex plane respectively, the imaginary axis is overlapped, with complex operation feature, seek total conducting wire direction；
2) projection of the conducting wire plan view in new coordinate-system is realized: being established the new coordinate system in total conducting wire direction, is sat newly
Mark system is lower to obtain conducting wire plan view position using plural feature；
3) drafting of actual measurement stratigraphic section rolling topography: in the projection in total conducting wire direction and added up according to conducting wire plan view
The landform inflection point that height difference determines, it is secondary round and smooth using 3 points, draw round and smooth rolling topography；
4) all kinds of boundary lines of actual measurement stratigraphic section are drawn, lithology line is drawn and the filling of lithology decorative pattern, according to institute's input file
Middle marked boundary line and lithology thickness profile value, carry out boundary line and lithology line is drawn；
5) processing of details strictly uses the processing of details the specification of actual measurement stratigraphic section, according to complex operation
Feature obtains its projected position.
Using following formula calculate it is horizontal away from and height difference:
Wherein WiFor it is each lead it is flat away from hiFor each height difference led, HnTo add up height difference, LiFor each oblique distance led, βi
For each terrain slope angle led.
The regulation of parallactic angle is from the north to the beginning above geology, and a circle clockwise is 360 degree eastwards, on a complex plane from real axis
Positive direction begins, and a circle counterclockwise is 360 degree, and there are similarities in angle regulation for the two, for ease of calculation, this research handle
The two is overlapped (such as Fig. 2).
The overlapping of this coordinate system, does not influence complex operation, seeks total conducting wire direction, and each conductor flat is away from being equivalent to a plural number
ZiRadius vector lengt, conducting wire azimuth γiIt is equivalent to this plural number ZiArgument, therefore conducting wire end to end arrow as shown in Figure 2
Diameter, as all plural number ZiSum seek total conducting wire direction such as (2) formula using complex operation formula:
Wherein A is total conducting wire direction, ZiRepresentative plural number, W are led for iiIt is led for i flat away from γiFor conducting wire azimuth, Re
Real part is represented, Im represents imaginary part.
After obtaining total conducting wire azimuth, new coordinate system is established, as shown in Figure 3.
And it is overlapped new coordinate system with complex plane, and it is Chong Die with rectangular coordinate system, it is asked under new coordinate system using complex operation
The spatial position of conducting wire plan view each point is taken, such as (3) formula:
Wherein ZiRepresentative plural number, x are led for ii、yiIt is each conducting wire in the new transverse and longitudinal coordinate value sat under system, Xn、YnIt is tired
Transverse and longitudinal coordinate value is counted, i.e., traverse point is in the spatial position of new coordinate system, Wi、A、γiRespectively conductor flat away from, total conducting wire direction and
Conducting wire azimuth.Solve the X of obtained new coordinate systemnAnd Hn, as survey the turning point (Fig. 4) of stratigraphic section rolling topography.
It is in order to form round and smooth hypsography, line progress between turning point is discrete, it is carried out using 3 quadratic equations round and smooth.
It is in order to form round and smooth hypsography, line progress between turning point is discrete, it is used by mode in Fig. 4 dotted ellipse
3 quadratic equations progress are round and smooth, that is, seek the coefficient of quadratic equation with one unknown group, and drawn by this equation, can be obtained round and smooth
Rolling topography, equation group are as follows:
Wherein xi,j、yi,jBe it is discrete after transverse and longitudinal coordinate, i represents i-th section of hypsography, and j represents j-th of discrete point,
A, b, c are equation coefficient to be asked.Solution for this equation group, we are solved using Maximal column pivot algorithm.
Apparent dip is calculated using (4) formula:
Tan θ=tan ξ × cos (λ-A) (4)
Wherein θ is apparent dip, and ξ is true dip angle, and λ is dip direction, and A is total conducting wire direction.
Measured section system boundary line, group boundary line, stratum boundary line according to the boundary line attribute setup of input file, can according to 3.5cm,
The length of 3cm, 2.5cm are drawn, and lithology line drafting is drawn according to 2cm.And it is drawn according to the thickness attribute in input file every
It is layered the number of lithology line, thick-layer lithology line line-spacing 4mm, zero line is away from 2mm, and lines of thin layers is away from 1mm, every layering thickness on measured section
Degree is as shown in Figure 5.
The thickness of each layering is calculated by (5) formula on measured section:
Wherein LHiFor every layering thickness, LET is the distance of i layers of two-end-point.
Algorithm characteristic: input is simple, operation is rapid, avoids interactive cumbersome work, it is only necessary to two data files are arranged,
One each individual-layer data information of storage, each occurrence information of storage.
It pays attention to detail, draw automatically, time saving and energy saving, the occurrence for ((a) in Fig. 6) on conducting wire plan view, in table 2
Input information subject to, determine the new orientation of its position and tendency under new coordinate system, and occurrence symbol is marked with this；Conducting wire
On plan view ((a) in Fig. 6) to be boundary line determine position using same principle, and make be boundary line camber line endpoint line,
It is consistent with the direction of strata；It is realized using the stratum boundary line attribute in table 1 in the boundary line for surveying ((b) in Fig. 6) on stratigraphic section
Program is drawn automatically；For very thin reference laminas some in stratum, using the processing mode exaggerated in actual measurement stratigraphic section
Upper drafting；For the beauty of conducting wire plan view and measured section figure, conducting wire is translated on conducting wire plan view using reserved 1cm's
Mode is drawn, and lithology decorative pattern is not filled on measured section figure；Thin layer, middle layer and thick-layer and stratum without stratification or texture,
Using the thickness attribute in table 1, realize that program is drawn automatically；The filling of lithology decorative pattern is realized using the decorative pattern fill area attribute in table 1
Program is drawn automatically；Scale bar, total conducting wire direction and lithology fill legend, according to Specification Design is drawn in program, realize automatic
It draws.These details have been fully considered in program, and have all realized the automatic drafting of program, these treatment of details are in Fig. 5
It is embodied very well.
Step 1: preparing data file
A. each individual-layer data message file is stored
It is illustrated with example, shares four in this example and lead, wherein one leads as translation.Store each individual-layer data information
File, as shown in table 1.
Each individual-layer data Examples of information table of table 1
1 information of table has following explanation
1. Meaning of Information in table: the total derivative number of the first behavior in table, including translation conducting wire counts, since the second row,
Sequentially input each layer of information are as follows: conducting wire azimuth, dip direction, stratigraphic dip, oblique distance, slope angle, stratum boundary line attribute, thickness category
Property, decorative pattern fill area attribute, layer identification code.For the data that translation conducting wire is not present, with 0 filling.
2. these information only need to separate with space.
3. stratum boundary line attribute can input 1-6,1, which represents conducting wire, is finished, and layering is not over, 2 represent stratum boundary line, 3 represent group
Boundary line, 4 system of representatives boundary lines, 5 terminate for all layerings of representative, only occur in the last layer, and 6 represent translation conducting wire boundary line attribute.
Thin layer is represented, 2 middle layer is represented, 3 represents thick-layer, 4 represents without stratification or texture structure 4. thickness attribute can input 1-5,1
It makes, 5 represent translation conducting wire.
5. decorative pattern fill area attribute is four figures, kilobit represents three big rock classes, and 1 represents sedimentary rock, 2 represents metamorphic rock, 3 represents
Igneous rock, latter three decorative patterns for representing a certain rock class are filled a vacancy code.
B. each occurrence data information file is stored
The data file of occurrence information is stored, as shown in table 2.
2 occurrence Examples of information table of table
For the explanation of table 2:
1. the input information of every a line is successively are as follows: where the conducting wire number, attitude of stratum tendency, inclination angle, occurrence where occurrence
The oblique distance of lead location.
2. the information of every a line only needs to be opened with space lattice.
Put two above-mentioned files in order, actual measurement stratigraphic section can just be obtained by then directly executing program and being projected
Figure.
Because program realizes automatic drafting, the time it takes is mainly the arrangement of Tables 1 and 2, and institute is time-consuming to divide
Meter can be completed to draw work in 20 minutes；And this example measures table from original, arrives manual drawing by calculating, according to band
The experience of practising method, institute are time-consuming in terms of day, it is assumed that (one group of 6-7 people of actual conditions requires one day one width figure of manual drawing
A couple of days could complete), it was calculated by eight hours, therefore the efficiency of computer graphics is by tens times of at least manual drawing efficiency, institute
Time-consuming is at most 4% or so of Hand drawing time.From the point of view of picture effect, computer graphics is than Hand drawing, whole picture figure
It is more clean.
Step 2: operation program drafting pattern
It for the practicability of verification algorithm, is programmed, selects ten thousand field geology of In Chaohu City, Anhui Province In Fenghuangshan Area 1:5
One actual measurement stratigraphic section data of charting are tested.As shown in fig. 6, the flat-top the direction which a grave faces oblique southeast wing Permian Period surveys stratigraphic section
(backhand section), measures table according to fieldwork, and according to table 1, the format and regulation of table 2 put input file in order, then runs
Program is at figure
What has been described above is only a preferred embodiment of the present invention, it is noted that for those of ordinary skill in the art
For, without departing from the concept of the premise of the invention, various modifications and improvements can be made, these belong to the present invention
Protection scope.
Claims (5)
1. the complex number algorithm that a kind of stratigraphic section is drawn, which comprises the following steps:
1) the total conducting wire direction of section is sought: using actual measurement stratigraphic section data bearing definition and plural argument define between phase
Seemingly, geographic north, east are overlapped with complex plane reality, the imaginary axis respectively, with complex operation feature, seeks total conducting wire direction；
2) projection of the conducting wire plan view in new coordinate-system is realized: the new coordinate system in total conducting wire direction is established, in new coordinate system
It is lower to obtain conducting wire plan view position using plural feature；
3) drafting of stratigraphic section rolling topography: projection and accumulative height difference according to conducting wire plan view in total conducting wire direction is surveyed
Determining landform inflection point, it is secondary round and smooth using 3 points, draw round and smooth rolling topography；
4) all kinds of boundary lines of actual measurement stratigraphic section are drawn, lithology line is drawn and the filling of lithology decorative pattern: according to institute in institute's input file
The boundary line and lithology thickness profile value of mark, carry out boundary line and lithology line is drawn, the length in all kinds of boundary lines of automatic distinguishing, automatically gradually
Become and draws lithology line, it is automatic to fill lithology decorative pattern, automatically ensure that lithology flower grave changes with lithology line apparent dip and changed；
5) processing of details, for details processing strictly using the specification of actual measurement stratigraphic section, the characteristics of according to complex operation
Obtain its projected position.
2. the complex number algorithm that stratigraphic section according to claim 1 is drawn, which is characterized in that in the step 1), meter
Calculate it is horizontal away from and height difference, such as following formula:
Wherein WiFor it is each lead it is flat away from hiFor each height difference led, HnTo add up height difference, LiFor each oblique distance led, βiIt is every
The one terrain slope angle led；
In the step 1), using complex operation formula, total conducting wire direction is sought:
Wherein A is total conducting wire direction, ZiRepresentative plural number, W are led for iiIt is led for i flat away from γiFor conducting wire azimuth, Re is represented
Real part, Im represent imaginary part.
3. the complex number algorithm that stratigraphic section according to claim 1 is drawn, which is characterized in that in the step 2), benefit
The spatial position of conducting wire plan view each point is sought under new coordinate system with complex operation:
Wherein ZiRepresentative plural number, x are led for ii、yiIt is each conducting wire in the new transverse and longitudinal coordinate value sat under system, Xn、YnFor accumulative cross
Ordinate value, i.e. traverse point are in the spatial position of new coordinate system, Wi、A、γiIt is conductor flat respectively away from, total conducting wire direction and conducting wire
Azimuth.
4. the complex number algorithm that stratigraphic section according to claim 1 is drawn, which is characterized in that in the step 3), adopt
It is carried out with 3 quadratic equations round and smooth, that is, seeks the coefficient of quadratic equation with one unknown group, and drawn by this equation, can be justified
Sliding rolling topography, equation are as follows:
Wherein xi,j、yi,jBe it is discrete after transverse and longitudinal coordinate, i represents i-th section of hypsography, and j represents j-th of discrete point, a, b, c
For equation coefficient to be asked；
Apparent dip is calculated using following equation:
Tan θ=tan ξ × cos (λ-A)
Wherein θ is apparent dip, and ξ is true dip angle, and λ is dip direction, and A is total conducting wire direction.
5. the complex number algorithm that stratigraphic section according to claim 1 is drawn, which is characterized in that real in the step 4)
The thickness for surveying each layering on section is calculated by following equations group:
Wherein LHiFor every layering thickness, LET is the distance of i layers of two-end-point.
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