基于渗流新模型分析页岩气流动影响因素及规律
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摘要
储层条件下Langmuir吸附模型不足以描述页岩气的超临界高压吸附特征,故含Langmuir吸附模型的渗流方程不利于描述超临界高压吸附解吸作用下页岩气的流动特征,因此建立了考虑超临界高压吸附模型的页岩气渗流方程,并与考虑Langmuir吸附模型的渗流方程进行了对比,同时分析了渗透率、孔隙度及吸附解吸作用对页岩气流动的影响规律及程度。研究表明:与Langmuir吸附模型相比新吸附模型能更加准确地描述页岩的超临界高压等温吸附特征;基于新吸附模型的渗流方程拟合实验结果的精度更高,更利于描述吸附解吸对流动的影响;当平均压力下降小于32.70%时,日产量影响程度排序为渗透率>孔隙度>吸附解吸作用;当平均压力下降为32.70%~42.58%时,日产量影响程度排序为孔隙度>渗透率>吸附解吸作用;当平均压力下降大于42.58%时,日产量影响程度排序为孔隙度>吸附解吸作用>渗透率;孔隙度、渗透率仍为页岩气传质输运的主控因素,但不可忽略吸附解吸作用对页岩气井生产中后期的影响。
Langmuir model cannot describe the supercritical high-pressure adsorption under the reservoir condition,so the flow equation with Langmuir model cannot describe the flow characteristics of shale gas effectively.Therefore,we establish a new porous flow equation which contains a high-pressure adsorption model,outcomes of the new equation are compared to the flow equation with Langmuir model,then we analyze the influence of permeability,porosity and adsorption function on shale gas flow and the influence rule of these factors.Results show that the new supercritical adsorption model can represent the supercritical adsorption isotherm on shale precisely;the new porous flow equation based on the new adsorption model can fit the experiment data with a higher precision and express the adsorption/desorption effect more clearly;when average pressure declining is less than 32.70%,influence extent for gas production per day is permeability>porosity>adsorption and desorption;when average pressure declining is between 32.70%and 42.58%,the influence extent is porosity>permeability>adsorption and desorption;when average pressure declining is more than 42.58%,the influence extent is porosity>adsorption and desorption>permeability.Although permeability and porosity are still the main factors,we should not neglect the function of adsorption and desorption.
Langmuir model cannot describe the supercritical high-pressure adsorption under the reservoir condition,so the flow equation with Langmuir model cannot describe the flow characteristics of shale gas effectively.Therefore,we establish a new porous flow equation which contains a high-pressure adsorption model,outcomes of the new equation are compared to the flow equation with Langmuir model,then we analyze the influence of permeability,porosity and adsorption function on shale gas flow and the influence rule of these factors.Results show that the new supercritical adsorption model can represent the supercritical adsorption isotherm on shale precisely;the new porous flow equation based on the new adsorption model can fit the experiment data with a higher precision and express the adsorption/desorption effect more clearly;when average pressure declining is less than 32.70%,influence extent for gas production per day is permeability>porosity>adsorption and desorption;when average pressure declining is between 32.70%and 42.58%,the influence extent is porosity>permeability>adsorption and desorption;when average pressure declining is more than 42.58%,the influence extent is porosity>adsorption and desorption>permeability.Although permeability and porosity are still the main factors,we should not neglect the function of adsorption and desorption.
引文
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[15]Mi Lidong,Jiang Hanqiao.Li Tao,et al.Characterization and dynamic analysis of shale gas production based on discrete fracture model[J].Journal of China University of Petroleum:Edition of Natural Science,2015,39(3):126-131.糜利栋,姜汉桥,李涛,等.基于离散裂缝模型的页岩气动态特征分析[J].中国石油大学学报:自然科学版,2015,39(3):126-131.
[16]Wang F P,Hammes U,Li Q.Overview of Haynesville Shale properties and production[J].American Association of Petroleum Geologists,2013,105(1):155-177.
[17]Wang F P,Hammes U,Reed R,et al.Petrophysical and mechanical properties of organic-rich shales and their influences on fluid flow[J].American Association of Petroleum Geologists,2013,103(1):167-186.
[2]Li Yuxi,Qiao Dewu,Jiang Wenli,et al.Gas content of gasbearing shale and its geological evaluation summary[J].Geological Bulletin of China,2011,30(2):308-317.李玉喜,乔德武,姜文利,等.页岩气含气量和页岩气地质评价综述[J].地质通报,2011,30(2):308-317.
[3]Zhou Li,Li Ming,Zhou Yaping.Experiment of adsorption of supercritical methane on activated carbon and theoretical analysis[J].Science in China:Series B,2000,30(1):49-56.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.
[4]Xing Huabin,Su Baogen,Yang Yiwen,et al.Progress in supercritical fluid adsorption[J].Chemical Industry and Engineering Progress,2002,21(12):885-889.邢华斌,苏宝根,杨亦文,等.超临界流体吸附研究进展[J].化工进展,2002,21(12):885-889.
[5]Zhou Yaping,Yang Bin.Progress in supercritical gas adsorption[J].Chemistry Bulletin,2000,63(9):8-12.周亚平,杨斌.气体超临界吸附研究进展[J].化学通报,2000,63(9):8-12.
[6]Zhou Li,Lv Changzhong,Wang Yilin,et al.Physisorption of gases on porous solids at above-critical temperatures[J].Progress in Chemistry,1999,11(3):221-226.周理,吕昌忠,王怡林,等.述评超临界温度气体在多孔固体上的物理吸附[J].化学进展,1999,11(3):221-226.
[7]Chareonsuppanimit P,Mohammad S A,Robinson Jr R L,et al.High-pressure adsorption of gases on shales:Measurements and modeling[J].International Journal of Coal Geology,2012,95(1):34-46.
[8]Yan Jimin,Zhang Qiyuan.Adsorption and Condensation-the Surface and Pore of Solid[M].Beijing:Science Press,1979:68-91.严继民,张启元.吸附与凝聚—固体的表面与孔[M].北京:科学出版社,1979:68-91.
[9]Hocker T H,Aranovich G L,Donohue M D.Monolayer adsorption for the subcritical lattice gas and partially miscible binary mixtures[J].Journal of Colloid and Interface Science,1999,211(1):61-80.
[10]Hirschfelder J B,Curtiss F C,Brind R B.Molecular Theory of Gases and Liquid[M].New York:John Wiley,1954:20-100.
[11]Guggenheim E A.Mixtures the Theory of the Equilibrium Properties of Some Simple Classes of Mixtures Solutions and Alloy[M].Oxford:Clarendon Press,1952:50-75.
[12]Anderson D M,Nobakht M,Moghadam S,et al.Analysis of Production Data from Fractured Shale Gas Wells[C]//Society of Petroleum Engineers,Unconventional Gas Conference.Pittsburgh:Society of Petroleum Engineers Press,2010:1-15.
[13]Bello R O,Wattenbarger R A.Modelling and analysis of shale gas production with a skin effect[J].Journal of Canadian Petroleum Technology,2010,49(12):37-48.
[14]Wang Nan,Zhong Taixian,Liu Xingyuan,et al.Production characteristics and law of shale gas reservoir under complex conditions[J].Fault-Block Oil&Gas Field,2013,19(6):767-770.王南,钟太贤,刘兴元,等.复杂条件下页岩气藏生产特征及规律[J].断块油气田,2013,19(6):767-770.
[15]Mi Lidong,Jiang Hanqiao.Li Tao,et al.Characterization and dynamic analysis of shale gas production based on discrete fracture model[J].Journal of China University of Petroleum:Edition of Natural Science,2015,39(3):126-131.糜利栋,姜汉桥,李涛,等.基于离散裂缝模型的页岩气动态特征分析[J].中国石油大学学报:自然科学版,2015,39(3):126-131.
[16]Wang F P,Hammes U,Li Q.Overview of Haynesville Shale properties and production[J].American Association of Petroleum Geologists,2013,105(1):155-177.
[17]Wang F P,Hammes U,Reed R,et al.Petrophysical and mechanical properties of organic-rich shales and their influences on fluid flow[J].American Association of Petroleum Geologists,2013,103(1):167-186.