Research and application of inversion parameters based on geological statistics inversion in transparent mines rock major modeling
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摘要: 为提供煤炭精准开采地质保障前期高分辨率的岩性地质建模基础数据，针对煤系地层的煤层厚度和存储条件，基于地质统计学反演理论建立楔形煤层的纵波阻抗模型，对获取的地震数据通过多组反演实验分析不同概率密度函数、横向变程参数对煤层厚度反演的影响，并进一步讨论了不同数量和位置的井约束条件下反演的效果，最后基于煤田地震数据进行了实际应用。结果表明，地质统计学反演参数对反演结果影响较大，合理的概率密度函数、横向变程和合理的约束井选取可以提高反演的准确性。实际应用表明地质统计学反演能够预测出1 m左右的薄煤层，反演的煤层厚度与测井数据结果误差范围为1.82 % ~12.24 %。研究结果对薄煤层厚度预测具有一定的可行性，可以为透明化矿山前期岩性地质建模提供有价值的建模数据。Abstract: In order to provide the basic data of lithology modeling with high resolution in the early stage of coal precise mining geological guarantee, this paper established the p-wave impedance model of wedge-shaped coal seam according to the thickness and storage conditions of coal measure strata based on geostatistical inversion theory. The influence of different probability density functions and transverse range parameters on thickness inversion of coal seam are analyzed through multiple inversion experiments. The effect of inversion under different amount and location constraints is further discussed. Experimental results show that geostatistical inversion parameters have a great influence on the inversion results. Reasonable probability density function, lateral range and constrained well selection can improve the accuracy of inversion. Results shows that geostatistical inversion can predict about 1 m thin coal seam, and the error range between the inversion coal seam thickness and the logging data is 1.82 % ~12.24 %. It is therefore feasible to predict the thickness of thin coal seam, and can provide valuable modeling data for the early lithologic geological modeling of "transparent mine".
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图 1 楔状煤层纵波阻抗模型示意图
Figure 1. Model diagram of p-wave impedance of wedge-shaped coal seam
图 4 伪井提取位置和纵波阻抗测井曲线(加噪)
Figure 4. Pseudo-well extraction location and p-wave impedance log (imnoised)
图 5 不同反演参数条件下煤层厚度地质统计学反演平面图
Figure 5. Geostatistical inversion plane of coal seam thickness under different inversion parameters
图 6 不同反演参数条件下煤层厚度地质统计学反演与实际模型厚度的相对误差平面图
Figure 6. The relative error of the thickness of coal seam thickness and actual model thickness under different inversion parameters
图 7 不同井约束条件下煤层厚度地质统计学反演平面图
Figure 7. Coal seam thickness geostatistical inversion floor plan under different well constraints
图 8 不同井约束条件下煤层厚度地质统计学反演与实际模型厚度相对误差平面图
Figure 8. The thickness of coal seam thickness geostatistical inversion and actual model thickness relative error plan for different well constraints
图 11 地质统计学反演概率密度函数拟合结果
Figure 11. Fitting results of geostatistical inversion probability density function
图 12 2号煤地质统计学反演的厚度平面图
Figure 12. Thickness plane of no.2 coal from geostatistical inversion
图 13 地质统计学反演与测井处的煤层厚度对比剖面
Figure 13. Coal seam thickness contrast profile at geostatistical inversion and logging
图 14 基于地质统计学反演岩性结果建立的三维地质岩性模型
Figure 14. A 3d geological lithology model based on geostatistical inversion
表 1 模型各岩性的密度、纵波速度参数
Table 1. Parameter table of density and p-wave velocity of each rock in the model
岩性 密度/
(g·cm-3)纵波速度/
(m·s-1)纵波阻抗/
(kg·m-2·s-1)砂岩 2.6 3 500 9 100 泥岩 2.0 3 000 6 000 煤 1.4 2 500 3 500 
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表 2 地质统计学反演参数
Table 2. Geostatistical inversion parameter
实验序号 概率密度函数 变程 均值ε/(kg·m-2·s-1) 方差σ2 垂向变程/ms 横向变程H/m 1 3 000 100 000 0.025 1 000 2 3 000 400 000 0.025 1 000 3 3 500 100 000 0.025 1 000 4 3 500 400 000 0.025 1 000 5 4 000 100 000 0.025 1 000 6 4 000 400 000 0.025 1 000 7 3 500 100 000 0.025 200 8 3 500 100 000 0.025 600 9 3 500 100 000 0.025 1 200
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表 3 不同井约束条件反演参数
Table 3. Parameter of different well constraint conditions inversion
实验序号 约束井数量/个 约束井位置 1 9 1~9 2 6 1、3、4、6、7、9 3 6 1、2、4、5、7、8 4 6 1、2、3、7、8、9 5 6 1、2、3、7、8、9 6 3 1、2、3 7 3 7、8、9 8 3 1、4、7 9 3 1、5、9
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表 4 反演参数取值
Table 4. Value of inversion parameters
参数类型 煤 泥岩 砂岩 岩相占比/% 16 61 23 概率密度函数均值/
(kg·m-2·s-1)3.8×109 9.8×109 12.2×109 概率密度函数方差 1.0×106 1.8×106 2.1×106
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表 5 地质统计学反演煤层厚度井点处相对误差分析
Table 5. Analysis of relative error at well point in geostatistical inversion of coal seam thickness
井编号 反演厚度/m 测井实际厚度/m 相对误差绝对值/% 01 1.41 1.51 6.62 02 2.12 2.08 1.92 03 2.16 2.2 1.82 04 1.10 0.98 12.24 05 1.40 1.24 12.90
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