CN113240812B - A 3D modeling method for ultra-thin manganese ore bodies based on incremental simulation - Google Patents
A 3D modeling method for ultra-thin manganese ore bodies based on incremental simulation Download PDFInfo
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Abstract
Description
技术领域technical field
本发明设计并且实现了一种基于增量模拟的超薄锰矿体三维建模方法,属于地学信息工程中地质三维可视化领域。The invention designs and realizes a three-dimensional modeling method of an ultra-thin manganese ore body based on incremental simulation, which belongs to the field of geological three-dimensional visualization in geoscience information engineering.
背景技术Background technique
矿床三维建模与可视化是以测绘、地质资料为基础,提取工程区边界数据和三维模型数据,如地表数据、地层数据、岩相数据、品位数据、构造数据等;再利用地表数据建立数字高程模型和数字地形模型,利用地层数据建立各地层空间层面,利用岩相数据建立各岩体空间界面,利用品位数据建立各矿体空间界面,利用构造数据建立各种构造面,并剪切其他相关层面,利用边界数据剪切整理各种曲面,由点、线数据生成面,由面围成三维虚拟矿床地质模型的过程。The 3D modeling and visualization of the deposit is based on surveying, mapping and geological data, and extracts the boundary data of the engineering area and 3D model data, such as surface data, stratigraphic data, lithofacies data, grade data, structural data, etc.; and then uses the surface data to establish digital elevation Model and digital terrain model, use stratigraphic data to establish spatial layers of various layers, use lithofacies data to establish spatial interfaces of various rock bodies, use grade data to establish spatial interfaces of various ore bodies, use structural data to establish various structural planes, and cut other related The process of cutting and arranging various curved surfaces using boundary data, generating surfaces from point and line data, and enclosing the surfaces into a three-dimensional virtual deposit geological model.
目前,传统的三维建模方法对超薄锰矿体的三维建模是利用插值的方式填充除钻孔、勘探线和剖面等硬数据之间的数据空白,其具体的方法是:先分别对超薄锰矿体的上、下底面进行插值计算,然后使用上下底面并且围合边界得到超薄锰矿体的三维模型,但是在实际的生产过程中,会出现由于超薄锰矿体的上下边界面的距离较近而导致的矿体的上下底面由于插值导致相交的问题,进而导致使超薄锰矿体模型存在破碎,从而无法真实表达所建立矿区的锰矿体模型,对于后期的储量估算、开采设计等造成一定的影响。At present, the traditional 3D modeling method for 3D modeling of ultra-thin manganese ore bodies uses interpolation to fill in the data gaps between hard data such as drilling holes, exploration lines and profiles. The upper and lower bottom surfaces of the thin manganese ore body are interpolated, and then the three-dimensional model of the ultra-thin manganese ore body is obtained by using the upper and lower bottom surfaces and the enclosed boundary. Due to the closeness, the upper and lower surfaces of the ore body intersect due to interpolation, which leads to the fragmentation of the ultra-thin manganese ore body model, which makes it impossible to truly express the manganese ore body model established in the mining area. certain influence.
发明内容SUMMARY OF THE INVENTION
为解决上述现有技术中存在的技术问题,本发明提供了一种基于增量模拟的超薄锰矿体三维建模方法,该方法中超薄锰矿体模型的顶面由超薄锰矿体模型的底面投影到超薄锰矿体的增量面上得到,从而超薄锰矿体模型的顶面在三维空间上的高度大于超薄锰矿体模型的底面的高度;因此获得的超薄锰矿体模型中顶面和底面之间不会产生顶面和底面相交或者底面在顶面之上的问题。In order to solve the technical problems existing in the above-mentioned prior art, the present invention provides a three-dimensional modeling method of ultra-thin manganese ore body based on incremental simulation. The bottom surface is projected onto the incremental surface of the ultra-thin manganese ore body, so that the height of the top surface of the ultra-thin manganese ore body model in three-dimensional space is greater than the height of the bottom surface of the ultra-thin manganese ore body model; There is no problem of top and bottom intersecting or bottom above top.
实现本发明目的的技术方案为,一种基于增量模拟的超薄锰矿体三维建模方法,包括以下步骤:The technical solution for realizing the object of the present invention is, a three-dimensional modeling method of ultra-thin manganese ore body based on incremental simulation, comprising the following steps:
(1)获取超薄锰矿体的矿体数据,矿体数据包括超薄锰矿体的上边界线和下边界线;(1) Obtain the ore body data of the ultra-thin manganese ore body, and the ore body data includes the upper boundary line and the lower boundary line of the ultra-thin manganese ore body;
(2)根据矿体数据中的上边界线构建投影面,并且将超薄锰矿体投影到投影面上,再提取超薄锰矿体在投影面上的边界范围;(2) Constructing the projection surface according to the upper boundary line in the ore body data, and projecting the ultra-thin manganese ore body on the projection surface, and then extracting the boundary range of the ultra-thin manganese ore body on the projection surface;
(3)根据矿体数据中的下边界线和超薄锰矿体在投影面上的边界范围拟合生成超薄锰矿体模型的底面;(3) According to the lower boundary line in the ore body data and the boundary range of the ultra-thin manganese ore body on the projection surface, the bottom surface of the ultra-thin manganese ore body model is generated by fitting;
(4)根据矿体数据中的上边界线和下边界线计算出超薄锰矿体的厚度增量;(4) Calculate the thickness increment of the ultra-thin manganese ore body according to the upper boundary line and the lower boundary line in the ore body data;
(5)根据超薄锰矿体的厚度增量和超薄锰矿体在投影面上的边界范围拟合出超薄锰矿体的增量面;(5) Fitting the incremental surface of the ultra-thin manganese ore body according to the thickness increment of the ultra-thin manganese ore body and the boundary range of the ultra-thin manganese ore body on the projection plane;
(6)将超薄锰矿体模型的底面投影到超薄锰矿体的增量面上得到超薄锰矿体模型的顶面;(6) projecting the bottom surface of the ultra-thin manganese ore body model onto the incremental surface of the ultra-thin manganese ore body to obtain the top surface of the ultra-thin manganese ore body model;
(7)将超薄锰矿体模型的底面和超薄锰矿体模型的顶面进行围合得到超薄锰矿体模型。(7) Enclosing the bottom surface of the ultra-thin manganese ore body model and the top surface of the ultra-thin manganese ore body model to obtain the ultra-thin manganese ore body model.
对上述技术方案的进一步改进为,步骤(1)中还包括:利用界面可视化技术将矿体数据中的上、下边界线进行三维坐标校正,并且展布于三维空间中。A further improvement of the above technical solution is that step (1) further includes: using interface visualization technology to perform three-dimensional coordinate correction on the upper and lower boundary lines in the ore body data, and spread them in a three-dimensional space.
且三维坐标校正具体为:将左、右图像都投影到平行于基线的公共平面,再将投影后的两幅图像在公共平面上位移,使投影后的两幅图像的极线共线。And the three-dimensional coordinate correction is specifically: project the left and right images to a common plane parallel to the baseline, and then shift the projected two images on the common plane, so that the polar lines of the projected two images are collinear.
且步骤(2)中投影面的构建为:将矿体数据中的上边界线复制2份,再将复制后的上边界线分别向北、向南平移或者向东、向西平移,利用普通克里金插值方法对平移后的2份上边界线和未平移的上边界线这3份上边界线进行插值构建投影面。And the construction of the projection surface in step (2) is as follows: copy the upper boundary line in the ore body data twice, and then move the copied upper boundary line to the north, south, or east and west, respectively, using ordinary The kriging interpolation method interpolates the two upper boundary lines after translation and the three upper boundary lines without translation to construct the projection surface.
且步骤(3)中超薄锰矿体模型的底面利用三角剖分方法获得。And the bottom surface of the ultra-thin manganese ore body model in step (3) is obtained by using the triangulation method.
且步骤(4)中厚度增量具体为:矿体数据中上边界线在三维坐标中的高度值与矿体数据中下边界线在三维坐标中的高度值之间的差值。And the thickness increment in step (4) is specifically: the difference between the height value of the upper boundary line in the ore body data in the 3D coordinates and the height value of the lower boundary line in the ore body data in the 3D coordinates.
且步骤(5)中拟合出超薄锰矿体的增量面的具体步骤为:And the specific steps of fitting the incremental surface of the ultra-thin manganese ore body in step (5) are:
(5.1)复制超薄锰矿体在投影面上的边界范围,并且将其在三维坐标中的高度值设置为0;(5.1) Copy the boundary range of the ultra-thin manganese ore body on the projection surface, and set its height value in three-dimensional coordinates to 0;
(5.2)并且在边界范围外绘制包围线圈,并且将包围线圈在三维坐标中的高度值设置为小于0的值;(5.2) and draw the enclosing coil outside the boundary range, and set the height value of the enclosing coil in three-dimensional coordinates to a value less than 0;
(5.3)根据普通克里金插值对超薄锰矿体的厚度增量、步骤(5.1)中的边界范围、步骤(5.2)中的包围线圈进行插值构建超薄锰矿体的增量面。(5.3) Interpolate the thickness increment of the ultra-thin manganese ore body, the boundary range in step (5.1), and the surrounding coil in step (5.2) according to ordinary kriging interpolation to construct the incremental surface of the ultra-thin manganese ore body.
由上述技术方案可知:(1)本发明提供的基于增量模拟的超薄锰矿体三维建模方法中超薄锰矿体模型的底面和超薄锰矿体的增量面的范围都是由超薄锰矿体在投影面上的边界范围来限定,而超薄锰矿体模型的顶面由超薄锰矿体模型的底面投影到超薄锰矿体的增量面上得到,因此超薄锰矿体模型的顶面与超薄锰矿体模型的底面为同一范围,避免了超薄锰矿体模型的顶面与超薄锰矿体模型的底面之间的范围大小、位置不对应产生的问题;It can be seen from the above technical solutions: (1) in the three-dimensional modeling method of the ultra-thin manganese ore body based on incremental simulation provided by the present invention, the range of the bottom surface of the ultra-thin manganese ore body model and the incremental surface of the ultra-thin manganese ore body are all determined by the ultra-thin manganese ore body. The boundary range of the manganese ore body on the projection surface is limited, and the top surface of the ultra-thin manganese ore body model is obtained by projecting the bottom surface of the ultra-thin manganese ore body model to the incremental surface of the ultra-thin manganese ore body, so the top surface of the ultra-thin manganese ore body model is obtained. The surface and the bottom surface of the ultra-thin manganese ore body model are in the same range, which avoids the problem of incompatibility between the range size and position between the top surface of the ultra-thin manganese ore body model and the bottom surface of the ultra-thin manganese ore body model;
(2)超薄锰矿体模型的顶面实际上为超薄锰矿体模型的底面与超薄锰矿体的增量面之和,由于超薄锰矿体的增量面为正值,从而超薄锰矿体模型的顶面在三维空间上的高度大于超薄锰矿体模型的底面的高度;因此获得的超薄锰矿体模型中顶面和底面之间不会产生顶面和底面相交或者底面在顶面之上的问题。(2) The top surface of the ultra-thin manganese ore body model is actually the sum of the bottom surface of the ultra-thin manganese ore body model and the incremental surface of the ultra-thin manganese ore body. The height of the top surface of the body model in three-dimensional space is greater than the height of the bottom surface of the ultra-thin manganese ore body model; therefore, in the obtained ultra-thin manganese ore body model, the top surface and the bottom surface will not intersect the top surface and the bottom surface or the bottom surface will not be on the top surface. above problem.
附图说明Description of drawings
图1为本发明实施例中超薄锰矿体投影到投影面上的示意图;1 is a schematic diagram of an ultra-thin manganese ore body projected onto a projection surface in an embodiment of the present invention;
图2为本发明实施例中矿体数据的上边界线和下边界线的示意图;2 is a schematic diagram of an upper boundary line and a lower boundary line of ore body data in an embodiment of the present invention;
图3为本发明实施例中超薄锰矿体模型的底面示意图;Fig. 3 is the bottom surface schematic diagram of the ultra-thin manganese ore body model in the embodiment of the present invention;
图4为本发明实施例中超薄锰矿体模型的顶面示意图;Fig. 4 is the top surface schematic diagram of the ultra-thin manganese ore body model in the embodiment of the present invention;
图5为本发明实施例中超薄锰矿体模型示意图。5 is a schematic diagram of an ultra-thin manganese ore body model in an embodiment of the present invention.
具体实施方式Detailed ways
下面结合附图和实施例对本发明进行详细具体说明,本发明的内容不局限于以下实施例。The present invention will be described in detail below with reference to the accompanying drawings and embodiments, and the content of the present invention is not limited to the following embodiments.
一种基于增量模拟的超薄锰矿体三维建模方法,包括以下步骤:A three-dimensional modeling method of ultra-thin manganese ore body based on incremental simulation, comprising the following steps:
获取超薄锰矿体的矿体数据,矿体数据包括超薄锰矿体的上边界线和下边界线,上边界线和下边界线不是在平面位置上单一的直线,而是展示超薄锰矿体下方或者上方空间形态位置的一系列线条,通过上边界线和下边界线可以看出超薄锰矿体的大概形状,但无法取代地质模型的作用。Obtain the ore body data of the ultra-thin manganese ore body. The ore body data includes the upper boundary line and the lower boundary line of the ultra-thin manganese ore body. The upper boundary line and the lower boundary line are not a single straight line on the plane position, but show the lower part of the ultra-thin manganese ore body or the lower boundary line. A series of lines at the upper spatial form position, through the upper and lower boundary lines, the approximate shape of the ultra-thin manganese ore body can be seen, but it cannot replace the role of the geological model.
利用界面可视化技术将矿体数据中的上、下边界线进行三维坐标校正,并且展布于三维空间中;以获取上、下边界线在三维坐标中的坐标值,方便后续进行厚度增量计算。Using interface visualization technology, the upper and lower boundary lines in the ore body data are corrected in 3D coordinates and distributed in the 3D space; the coordinate values of the upper and lower boundary lines in the 3D coordinates are obtained to facilitate the subsequent calculation of thickness increments.
本实施例中采用的三维坐标校正方法实际为双目立体视觉中的立体图像校正方法,在本实施例的应用过程为:将左、右图像都投影到平行于基线的公共平面,再将投影后的两幅图像在公共平面上位移,使投影后的两幅图像的极线共线。The three-dimensional coordinate correction method used in this embodiment is actually a stereoscopic image correction method in binocular stereo vision. The application process in this embodiment is: project the left and right images on a common plane parallel to the baseline, and then project the The latter two images are shifted on the common plane, so that the epipolar lines of the latter two images are collinear.
参考图1,根据矿体数据中的上边界线构建投影面,投影面为图1中的浅色网格面,并且将超薄锰矿体投影到投影面上,再提取超薄锰矿体在投影面上的边界范围,边界范围为图1中的深色线所框选的区域;具体过程为将矿体数据中的上边界线复制2份,再将复制后的上边界线分别向北、向南平移或者向东、向西平移,在另外一些实施例中也可以向其他方向平移,只需要平移的2个方向相反即可,利用普通克里金插值方法对平移后的2份上边界线和未平移的上边界线这3份上边界线进行插值构建投影面。Referring to Figure 1, a projection surface is constructed according to the upper boundary line in the ore body data. The projection surface is the light-colored grid surface in Figure 1, and the ultra-thin manganese ore body is projected onto the projection surface, and then the ultra-thin manganese ore body is extracted on the projection surface. The boundary range on the surface, the boundary range is the area selected by the dark line in Figure 1; the specific process is to copy the upper boundary line in the ore body data twice, and then copy the upper boundary line to the north, Translate to the south or to the east and west, and in other embodiments, it can also be translated in other directions, as long as the two directions of the translation are opposite, use the ordinary kriging interpolation method to translate the two upper bounds after the translation. The three upper boundary lines of the line and the untranslated upper boundary line are interpolated to construct the projection surface.
参考图3,根据矿体数据中的下边界线和超薄锰矿体在投影面上的边界范围拟合生成超薄锰矿体模型的底面,本实施例采用三角剖分方法生成生成超薄锰矿体模型的底面;具体步骤如下:Referring to Fig. 3, according to the lower boundary line in the ore body data and the boundary range of the ultra-thin manganese ore body on the projection surface, the bottom surface of the ultra-thin manganese ore body model is fitted and generated. In this embodiment, the triangulation method is used to generate and generate the ultra-thin manganese ore body model. the bottom surface; the specific steps are as follows:
(1)将地下边界线离散为三维空间中的高程控制点;(1) Discrete the underground boundary line into elevation control points in three-dimensional space;
(2)构造一个超级三角形,包含所有高程控制点,放入三角形链表;(2) Construct a super triangle, including all elevation control points, and put it into the triangle linked list;
(3)将点集中的高程控制点依次插入,在三角形链表中找出外接圆包含插入点的三角形,该三角形即该点的影响三角形,删除影响三角形的公共边,将插入点同影响三角形的全部顶点连接起来,完成一个点在三角形链表中的插入;(3) Insert the elevation control points in the point set in turn, find the triangle whose circumcircle contains the insertion point in the triangle linked list, this triangle is the influence triangle of this point, delete the common side of the influence triangle, and make the insertion point the same as the influence triangle. All vertices are connected to complete the insertion of a point in the triangle linked list;
(4)根据优化准则对局部新形成的三角形优化,将形成的三角形放入三角形链表;(4) Optimize the locally newly formed triangle according to the optimization criterion, and put the formed triangle into the triangle linked list;
(5)循环执行上述第(3)步,直到所有高程控制点插入完毕,得到地形面;(5) Execute the above step (3) in a loop until all the elevation control points are inserted, and the terrain surface is obtained;
(6)去除在超薄锰矿体在投影面上的边界范围之外的地形面,得到超薄锰矿体模型的底面。(6) Remove the topographic surface outside the boundary range of the ultra-thin manganese ore body on the projection plane to obtain the bottom surface of the ultra-thin manganese ore body model.
参考图2,根据矿体数据中的上边界线和下边界线计算出超薄锰矿体的厚度增量;上边界线为图2中的深色线段,下边界线为图2中的浅色线段,厚度增量为图2中的深色线段与浅色线段之间的区域。Referring to Figure 2, the thickness increment of the ultra-thin manganese ore body is calculated according to the upper and lower boundary lines in the ore body data; the upper boundary line is the dark line segment in Figure 2, and the lower boundary line is the light-colored line segment in Figure 2. The thickness increment is the area between the dark and light colored line segments in Figure 2.
厚度增量实质上为矿体数据中上边界线在三维坐标中的高度值与矿体数据中下边界线在三维坐标中的高度值之间的差值。The thickness increment is essentially the difference between the height value of the upper boundary line in the ore body data in the 3D coordinates and the height value of the lower boundary line in the ore body data in the 3D coordinates.
根据超薄锰矿体的厚度增量和超薄锰矿体在投影面上的边界范围拟合出超薄锰矿体的增量面;拟合出超薄锰矿体的增量面的具体步骤为:According to the thickness increment of the ultra-thin manganese ore body and the boundary range of the ultra-thin manganese ore body on the projection plane, the incremental surface of the ultra-thin manganese ore body is fitted; the specific steps of fitting the incremental surface of the ultra-thin manganese ore body are as follows:
复制超薄锰矿体在投影面上的边界范围,并且将其在三维坐标中的高度值设置为0;Copy the boundary range of the ultra-thin manganese ore body on the projection surface, and set its height value in 3D coordinates to 0;
并且在边界范围外绘制包围线圈,并且将包围线圈在三维坐标中的高度值设置为小于0的值;And draw the enclosing coil outside the bounding range, and set the height value of the enclosing coil in three-dimensional coordinates to a value less than 0;
根据普通克里金插值对超薄锰矿体的厚度增量、步骤上述中的边界范围、上述中的包围线圈进行插值构建超薄锰矿体的增量面。The increment surface of the ultra-thin manganese ore body is constructed by interpolating the thickness increment of the ultra-thin manganese ore body, the boundary range in the above step, and the enclosing coil in the above step according to ordinary kriging interpolation.
高度值为负数的包围线圈表示超出边界范围的锰矿体增量是不存在,包围线圈用于控制增量面的边界范围;The surrounding coil with a negative height value indicates that the increment of manganese ore body beyond the boundary range does not exist, and the surrounding coil is used to control the boundary range of the incremental surface;
虽然增量面的边界范围由高度值为负数的包围线圈来限定,但实际上包围线圈为超薄锰矿体在投影面上的边界范围外的线圈,从某种程度,超薄锰矿体的增量面的范围都是由超薄锰矿体在投影面上的边界范围来限定。Although the boundary range of the incremental surface is defined by the surrounding coils with a negative height value, the surrounding coils are actually the coils outside the boundary range of the ultra-thin manganese ore body on the projection surface. The range of the measurement surface is limited by the boundary range of the ultra-thin manganese ore body on the projection surface.
参考图4,将超薄锰矿体模型的底面投影到超薄锰矿体的增量面上得到超薄锰矿体模型的顶面;从而超薄锰矿体模型的底面和超薄锰矿体的增量面的范围都是由超薄锰矿体在投影面上的边界范围来限定,而超薄锰矿体模型的顶面由超薄锰矿体模型的底面投影到超薄锰矿体的增量面上得到,因此超薄锰矿体模型的顶面与超薄锰矿体模型的底面为同一范围,避免了超薄锰矿体模型的顶面与超薄锰矿体模型的底面之间的范围大小、位置不对应产生的问题。Referring to Figure 4, the bottom surface of the ultra-thin manganese ore body model is projected onto the incremental surface of the ultra-thin manganese ore body to obtain the top surface of the ultra-thin manganese ore body model; thus the bottom surface of the ultra-thin manganese ore body model and the incremental surface of the ultra-thin manganese ore body are obtained. The range is limited by the boundary range of the ultra-thin manganese ore body on the projection surface, and the top surface of the ultra-thin manganese ore body model is obtained by projecting the bottom surface of the ultra-thin manganese ore body model to the incremental surface of the ultra-thin manganese ore body, so The top surface of the ultra-thin manganese ore body model and the bottom surface of the ultra-thin manganese ore body model are in the same range, which avoids the problem of incompatibility between the range size and position between the top surface of the ultra-thin manganese ore body model and the bottom surface of the ultra-thin manganese ore body model. .
参考图5,将超薄锰矿体模型的底面和超薄锰矿体模型的顶面进行围合得到超薄锰矿体模型。Referring to FIG. 5 , the bottom surface of the ultra-thin manganese ore body model and the top surface of the ultra-thin manganese ore body model are enclosed to obtain the ultra-thin manganese ore body model.
由上述实施例可知,超薄锰矿体模型的顶面实际上为超薄锰矿体模型的底面与超薄锰矿体的增量面之和,由于超薄锰矿体的增量面为正值,从而超薄锰矿体模型的顶面在三维空间上的高度大于超薄锰矿体模型的底面的高度;因此获得的超薄锰矿体模型中顶面和底面之间并不会产生顶面和底面相交或者底面在顶面之上的问题。It can be seen from the above examples that the top surface of the ultra-thin manganese ore body model is actually the sum of the bottom surface of the ultra-thin manganese ore body model and the incremental surface of the ultra-thin manganese ore body. The height of the top surface of the ultra-thin manganese ore body model in three-dimensional space is greater than the height of the bottom surface of the ultra-thin manganese ore body model; therefore, in the obtained ultra-thin manganese ore body model, the top surface and the bottom surface do not produce top surface and bottom surface intersection or The bottom surface is above the top surface.
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