称重吸附仪计算等温吸附量方法的推导及应用
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摘要
当利用称重吸附仪进行吸附实验时,某一测试压力点测试的总质量m_t,是由测试桶的质量m_b、测试桶内装入岩样的质量m_c、岩样吸附甲烷气的质量m_(ag)和测试桶空隙体积内自由甲烷气的质量m_(fg)等四部分组成。而注入甲烷气的质量mi仅包括m_(ag)和m_(fg)两部分。由于测试桶的质量和装入测试桶内的岩样质量都是常数,因此为建立利用称重吸附仪计算等温吸附量的方法提供了方便。根据质量平衡原理和Avogadro定律,经理论推导,得到利用称重吸附仪测试数据计算等温吸附量的方法。同时,还提出了判断甲烷气吸附程度的方法,以及确定饱和吸附压力和饱和累积吸附量的方法。页岩气和煤层气2个实例的应用结果表明,本文提供的方法是正确有效的。
When the adsorption experiment is carried out by using weighing method,the total mass mtat a test pressurepoint is composed by four parts,which are the mass of the test barrel mb,the mass of the core sample mc,the adsorbed meth-ane gas magand the free methane gas mfgin the void volume of the test barrel. And the mass of the injected methane gas mionly includes two parts,magand mfg. Since the mass of the sample barrel and the mass of the sample loaded into the samplebarrel are constant,this provides convenience for establishing a method for calculating the isothermal adsorption capacityby the weighing adsorption apparatus. Based on the principle of mass balance and Avogadro's law,the method of calculat-ing isothermal adsorption capacity using the data tested by the weighing adsorption apparatus was theoretically derived.Meanwhile,a criteria for judging adsorption degree,determining the saturated adsorption pressure and the saturated cumu-lative adsorption capacity was proposed. The application of shale gas and coalbed methane adsorption showed that the saidmethod was correct and effective.
When the adsorption experiment is carried out by using weighing method,the total mass mtat a test pressurepoint is composed by four parts,which are the mass of the test barrel mb,the mass of the core sample mc,the adsorbed meth-ane gas magand the free methane gas mfgin the void volume of the test barrel. And the mass of the injected methane gas mionly includes two parts,magand mfg. Since the mass of the sample barrel and the mass of the sample loaded into the samplebarrel are constant,this provides convenience for establishing a method for calculating the isothermal adsorption capacityby the weighing adsorption apparatus. Based on the principle of mass balance and Avogadro's law,the method of calculat-ing isothermal adsorption capacity using the data tested by the weighing adsorption apparatus was theoretically derived.Meanwhile,a criteria for judging adsorption degree,determining the saturated adsorption pressure and the saturated cumu-lative adsorption capacity was proposed. The application of shale gas and coalbed methane adsorption showed that the saidmethod was correct and effective.
引文
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[14]端祥刚,胡志明,高树生,等.页岩高压等温吸附曲线及气井生产动态特征实验[J].石油勘探与开发,2018,45(1):119-127.DUAN Xianggang,HU Zhiming,GAO Shusheng,et al.Shale high pressure isothermal adsorption curve and production dynamic experiments of gas well[J].Petroleum Exploration and Development,2018,45(1):119-127.
[15]萨韦利耶夫ИВ.普通物理学(第一卷,力学与分子物理学)[M].钟金城,何伯珩,译.北京:高等教育出版社,1992.SAVELYEVИВ.General physics(Volume I,Mechanics and molecular physics)[M].ZHONG Jincheng,HE Boheng,trans.Beijing:Higher Education Press,1992.
[16]陈元千,李璗.现代油气藏工程[M].北京:石油工业出版社,2001:1-11.CHEN Yuanqian,LI Dang.Modern petroleum engineering[M].Beijing:Petroleum Industry Press,2001:1-11.
[2]陈元千,傅礼兵,郝明强.气体吸附方程和解吸方程的推导及应用[J].中国海上油气,2018,30(2):85-89.CHEN Yuanqian,FU Libing,HAO Mingqiang.Derivation and application of gas adsorption equation and desorption equation[J].China Offshore Oil and Gas,2018,30(2):85-89.
[3]MAVOR M J,OWEN L B,PRATT T J.Measurement and evaluation of coal sorption isotherm data[C].SPE 20728,1990.
[4]MAVOR M J,HARTMAN C P T,TIMOTHY J.Uncertainty in sorption isotherm measurements[C].University of Alabama,Tuscaloosa:Proceedings 2004 International Coalbed Methane Symposium,2004.
[5]陈元千,汤晨阳,陈奇.等温吸附量计算方法的推导及应用[J].油气地质与采收率,2018,25(6):56-62.CHEN Yuanqian,TANG Chenyang,CHEN Qi.Derivation and application of isothermal adsorption rate calculation method[J].Petroleum Geology and Recovery Efficiency,2018,25(6):56-62.
[6]周理,李明,周亚平.超临界甲烷在高表面活性炭上的吸附测量及其理论分析[J].中国科学:B辑,2000,30(1):49-56.ZHOU Li,LI Ming,ZHOU Yaping.Adsorption measurement and theoretical analysis of supercritical methane on high surface area activated carbon[J].Science China:Series B,2000,30(1):49-56.
[7]俞凌杰,范明,陈红宇,等.富有机质页岩高温高压重量法等温吸附实验[J].石油学报,2015,36(5):557-563.YU Lingjie,FAN Ming,CHEN Hongyu,et al.Isothermal adsorption experiment of organic-rich shale under high temperature and pressure using gravimetric method[J].Acta Petrolei Sinica,2015,36(5):557-563.
[8]周尚文,王红岩,薛华庆,等.页岩过剩吸附量与绝对吸附量的差异及页岩气储量计算新方法[J].天然气工业,2016,36(1):12-20.ZHOU Shangwen,WANG Hongyan,XUE Huaqing,et al.Difference between excess and absolute adsorption capacity of shale and a new shale gas reserve calculation method[J].Natural Gas Industry,2016,36(1):12-20.
[9]周尚文,薛华庆,郭伟,等.基于重量法的页岩气超临界吸附特征实验研究[J].煤炭学报,2016,41(11):2 806-2 812.ZHOU Shangwen,XUE Huaqing,GUO Wei,et al.Supercritical isothermal adsorption characteristics of shale gas based on gravimetric method[J].Journal of China Coal Society,2016,41(11):2 806-2 812.
[10]周尚文,王红岩,薛华庆,等.页岩气超临界吸附机理及模型[J].科学通报,2017,62(35):4 189-4 200.ZHOU Shangwen,WANG Hongyan,XUE Huaqing,et al.Supercritical methane adsorption on shale gas:Mechanism and model(in Chinese)[J].Chinese Science Bulletin,2017,62(35):4 189-4 200.
[11]周尚文,李奇,薛华庆,等.页岩容量法和重量法等温吸附实验对比研究[J].化工进展,2017,36(5):1 690-1 697.ZHOU Shangwen,LI Qi,XUE Huaqing,et al.Comparative study on the volumetric and gravimetric method for isothermal adsorption experiment of shale[J].Chemical Industry and Engineering Progress,2017,36(5):1 690-1 697.
[12]朱汉卿,贾爱林,位云生,等.蜀南地区富有机质页岩孔隙结构及超临界甲烷吸附能力[J].石油学报,2018,39(4):391-401.ZHU Hanqing,JIA Ailin,WEI Yunsheng,et al.Pore structure and supercritical methane sorption capacity of organir-rich shales in southern Sichuan Basin[J].Acta Petrolei Sinica,2018,39(4):391-401.
[13]田文广,邓泽,王红岩,等.低吸附量煤岩和页岩等温吸附实验的负吸附原因[J].天然气工业,2018,38(6):19-26.TIAN Wenguang,DENG Ze,WANG Hongyan,et al.Negative adsorption in the isotherm adsorption experiments of low-adsorption coal and shale[J].Natural Gas Industry,2018,38(6):19-26.
[14]端祥刚,胡志明,高树生,等.页岩高压等温吸附曲线及气井生产动态特征实验[J].石油勘探与开发,2018,45(1):119-127.DUAN Xianggang,HU Zhiming,GAO Shusheng,et al.Shale high pressure isothermal adsorption curve and production dynamic experiments of gas well[J].Petroleum Exploration and Development,2018,45(1):119-127.
[15]萨韦利耶夫ИВ.普通物理学(第一卷,力学与分子物理学)[M].钟金城,何伯珩,译.北京:高等教育出版社,1992.SAVELYEVИВ.General physics(Volume I,Mechanics and molecular physics)[M].ZHONG Jincheng,HE Boheng,trans.Beijing:Higher Education Press,1992.
[16]陈元千,李璗.现代油气藏工程[M].北京:石油工业出版社,2001:1-11.CHEN Yuanqian,LI Dang.Modern petroleum engineering[M].Beijing:Petroleum Industry Press,2001:1-11.