Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof

The fractured zone in the overlying strata of a coal mine goaf is vital for effective gas drainage. The development height of the fractured zone is lied on the “saddle type” theory and calculated by empirical formula, while the horizontal range is dependent on the caving theory of the “O” circle. Ho...

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Main Authors: Xinjian Li, Xiangjun Chen, Lin Wang
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2022/7005618
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author Xinjian Li
Xiangjun Chen
Lin Wang
author_facet Xinjian Li
Xiangjun Chen
Lin Wang
author_sort Xinjian Li
collection DOAJ
description The fractured zone in the overlying strata of a coal mine goaf is vital for effective gas drainage. The development height of the fractured zone is lied on the “saddle type” theory and calculated by empirical formula, while the horizontal range is dependent on the caving theory of the “O” circle. However, the height of the fracture zone obtained using the above method is usually too large, and only the horizontal boundary of the fracture zone is defined. Besides, the fracture development degree in different regions is not described. To accurately determine the stable development area of the fractured zone and locate the gas migration channel as well as gas enrichment horizon, in this paper, a geometric and mathematical model for gas extraction in the fractured zone is established based on common high-level drilling. Then, a method of investigating the parameters of the directional high-level drilling in the roof is proposed, and a solving means is provided. Taking Wanfeng Coal Mine as an engineering background, the reasonable parameters of the common high-level drilling were investigated, and the effect was verified using the directional high-level drilling in the roof of an adjacent working face. The results show that the stable extraction volumes of the two directional drilling holes is 1~1.8 m3/min and 0.6~1 m3/min, respectively, which exceeds the optimal extraction volumes of the ordinary drilling holes. The new method of determining the stable development area of the fractured zone is significant for improving the gas drainage effect of the high-level drill holes in the roof.
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spelling doaj-art-788f528aa5a44cacaa9d341eaf67be9e2025-08-20T02:07:30ZengWileyGeofluids1468-81232022-01-01202210.1155/2022/7005618Construction and Application of Mathematical Model of Stable Fracture Development Zone of RoofXinjian Li0Xiangjun Chen1Lin Wang2State Key Laboratory Cultivation Base for Gas Geology and Gas Control (Henan Polytechnic University)State Key Laboratory Cultivation Base for Gas Geology and Gas Control (Henan Polytechnic University)State Key Laboratory Cultivation Base for Gas Geology and Gas Control (Henan Polytechnic University)The fractured zone in the overlying strata of a coal mine goaf is vital for effective gas drainage. The development height of the fractured zone is lied on the “saddle type” theory and calculated by empirical formula, while the horizontal range is dependent on the caving theory of the “O” circle. However, the height of the fracture zone obtained using the above method is usually too large, and only the horizontal boundary of the fracture zone is defined. Besides, the fracture development degree in different regions is not described. To accurately determine the stable development area of the fractured zone and locate the gas migration channel as well as gas enrichment horizon, in this paper, a geometric and mathematical model for gas extraction in the fractured zone is established based on common high-level drilling. Then, a method of investigating the parameters of the directional high-level drilling in the roof is proposed, and a solving means is provided. Taking Wanfeng Coal Mine as an engineering background, the reasonable parameters of the common high-level drilling were investigated, and the effect was verified using the directional high-level drilling in the roof of an adjacent working face. The results show that the stable extraction volumes of the two directional drilling holes is 1~1.8 m3/min and 0.6~1 m3/min, respectively, which exceeds the optimal extraction volumes of the ordinary drilling holes. The new method of determining the stable development area of the fractured zone is significant for improving the gas drainage effect of the high-level drill holes in the roof.http://dx.doi.org/10.1155/2022/7005618
spellingShingle Xinjian Li
Xiangjun Chen
Lin Wang
Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof
Geofluids
title Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof
title_full Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof
title_fullStr Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof
title_full_unstemmed Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof
title_short Construction and Application of Mathematical Model of Stable Fracture Development Zone of Roof
title_sort construction and application of mathematical model of stable fracture development zone of roof
url http://dx.doi.org/10.1155/2022/7005618
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AT xiangjunchen constructionandapplicationofmathematicalmodelofstablefracturedevelopmentzoneofroof
AT linwang constructionandapplicationofmathematicalmodelofstablefracturedevelopmentzoneofroof