确定断煤交线位置的数学计算方法

断层是影响矿井安全生产的重要因素。在地质图件中,断层的位置常用断层走向来表达,但由于煤矿生产的特殊性,不仅需要掌握断层的走向,更需要掌握断煤交线的方向。通常在煤层倾角稍大、断层倾角稍小的情况下,断层走向与断煤交线存在一个夹角,求取该夹角,可准确追踪断层附近煤层。为此以正断层为例,利用断层及煤层的走向与倾角要素,推导出2个计算断煤交线与断层走向夹角的公式。通过例举几种特殊情况,佐证2个公式具有普遍适用性。

Mathematical Approach of Fault/Coal Seam Intersection Line Determination

Fault is an important factor impacting mine production safety.In geological maps or drawings fault position is usually expressed by fault strike,but because of coalmine production particularity,needs not only fault strike,but also fault/coal seam intersection line orientation.Commonly,under the slightly larger coal seam dip angle and slightly smaller fault dip angle,there is an included angle between fault strike and fault/coal seam intersection line,seeking for this included angle,coal seams near the fault can be traced correctly.For this purpose,to take a normal fault as an example,using strike and dip angle factors of fault and coal seam,deduced 2 formulae to compute the included angle between fault/coal seam intersection line and fault strike.Through examples under some special situations has proofed universal applicability of the 2 formulae.