摘要
根据煤层瓦斯压力测定原理建立低渗透煤层钻孔中瓦斯的流动模型,结合模型与Klinkenberg效应下低渗透本煤层瓦斯渗流方程,推导出瓦斯损失量的理论计算公式。由以上推论得出瓦斯压力测定结果,得出修正后的瓦斯压力与实测值的相对误差在一个百分点左右,具有较高的实际应用和指导价值。
The gas loss theoretical calculation formula is derived in accordance with the flow model for drilling in low permeability coal seam established based on the pressure measurement principle,combining with the gas seepage equation for low permeability coal seam under Klinkenberg effect. From the above deduction,the results of gas pressure measurement are obtained. It is concluded that the relative error between the corrected gas pressure and the measured value is about one percentage,which has high practical application and guidance value.
引文
[1]刘明举,陈亮,曾昭友.基于压力恢复曲线的富水煤层瓦斯测压结果修正[J].煤炭科学技术,2013,41(7):71-74.
[2]齐黎明,赵玉岐,王轶波,等.基于封孔前瓦斯损失量的测压结果修正分析[J].煤炭学报,2007,32(1):60-63.
[3]刘辉辉,蒋承林,吴爱军,等.基于煤体瓦斯含量对测定煤层瓦斯压力准确性分析[J].煤矿开采,2011,16(1):20-21.
[4]王宏图,张仁松.煤矿深部开采瓦斯压力计算的解析算法[J].煤炭学报,1999(3):279-283.
[5] WU YS,PRUESS K,PERSOFF P. Gas flow in porousmedia with Klinkenberg effects[J]. Transp. PorousMedia 1998,32:117-137.
[6] W. C. ZHU,J. LIU,J. C. SHENG,D. ELSWORTH.Analysis of coupled gas flow and deformation process withdesorption and Klinkenberg effects in coal seams[J]. In-ternational Journal of Rock Mechanics&Mining Sci-ences,2007,44(2):971-980.
[7] CHAN DYC,HUGHES BD. Transient gas flow aroundthe boreholes[J]. Transp. Porous Media 1993,10:137-152.
[8] VILLE AD. On the properties of compressible gas flow ina porous media[J]. Transp. Porous Media,1998,22:287-306.
[9]孙培德,凌志仪.三轴应力作用下煤渗透率变化规律实验[J].重庆大学学报(自然科学版),2000,23(增刊):28-31.
[10]王宏图,鲜学福,杜云贵.煤矿深部开采煤层气含量计算的解析法[J].中国矿业大学学报,2002,31(4):367-369.
[11]王登科,魏建平,付启超,等.基于Klinkenberg效应影响的煤体瓦斯渗流规律及其渗透率计算方法[J].煤炭学报,2014,39(10):2029-2036.
[12]同济大学数学系.高等数学[M].北京:高等教育出版社,2006.