考虑孔径分布的低渗透煤层气体渗透率计算模型

A computation model for gas permeability in low permeability coal seam considering the distribution of pore size

  • 摘要: 渗透率是影响煤层气开发的关键参数之一,采用测井方法可以较为全面的获取储层渗透率,但测井方法求取的渗透率的准确度主要依赖于建立孔隙结构与渗透率关系计算模型。目前渗透率计算模型大都是基于平均孔径所建立的,忽略了孔隙分布特征对渗透率的影响。对于孔隙分布较为均匀的常规储层而言,孔隙分布对渗透率的影响不大,但对于孔隙结构复杂的低渗透煤层而言,孔隙分布对渗透率(尤其是气体渗透率)的影响不容忽视。采用上海纽迈公司生产的MesoMR23-060H-I型核磁共振仪及太原理工大学自主研发的气体渗透率测试仪对山西西山煤田古交区块8号煤孔径分布特征与气体渗透率的关系进行研究,建立了考虑孔径分布的气体渗透率计算模型;比较新模型、基于平均孔径模型所计算的气体渗透率与实测气体渗透率的差异;以孔径分布符合高斯分布为例,研究了孔隙分布特征对气体渗透率的影响。研究结果表明:在考虑孔径分布的影响后,考虑孔径分布气体渗透率计算模型计算结果与实测值符合度较基于平均孔径计算结果符合度更好;当孔隙分布满足高斯分布时,孔隙率、气体压力和分布期望相同的低渗透煤样,标准差越大,孔隙结构越复杂,气体渗透率越大,与基于平均孔径所计算的气体渗透率差异越大,当标准差从0.05增加到0.18时考虑孔径分布计算的气体渗透率由3.97×10-15m2变为4.2×10-15m2,变化幅度达10.7%,考虑孔径分布模型与基于平均孔径模型计算气体渗透率结果的差异率由0.97%变为11.78%;孔隙率、气体压力和标准差相同的低渗透煤样,分布期望值越大,气体渗透率越大,与基于平均孔径所计算的气测渗透率差异越小,当期望由0.35变为0.55时,考虑孔径分布计算的气体渗透率由2.18×10-15m2变为4.86×10-15m2,变化幅度达1.23%;在计算孔隙结构较为复杂的低渗透煤储层渗透率时,新模型可以更为准确的计算低渗透煤储层气体渗透率。

     

    Abstract: Permeability is one of the key parameters affecting the development of coal-bed gas. The logging method can be used to obtain the reservoir permeability comprehensively,however,the accuracy of the logging method mainly de- pends on the computation model of the relationship between pore size and permeability. At present,computation models for gas permeability are mostly based on the assumption that the pore size is the same,ignoring the influence of the dis- tribution of pore size. For conventional reservoirs with uniform pore distribution,the error of permeability between pred- icated value and the measured value can be ignored. However,for low permeability reservoirs with complex pore sizes, the distribution of pore size has tremendous influence on permeability,especially gas permeability,the error is very large that cannot be ignored. The relationship between the distribution characteristics of pore size and gas permeability of No. 8 coal seam in the Gujiao coalmine of Shanxi Xishan Coal Mining Group was studied by MesoMR23-060H-I, NMR spectrometer manufactured by Shanghai Newmai Company,and the device of gas perme-ability developed by Taiyuan University of Technology independently. Then the computation model of gas permeability considering pore size distribution was established. The difference of gas permeability between measured values,calculated by the new model and calculated by the traditional models was compared. Taking the Gaussian distribution of pore size as an example, the effect of distribution of pore size on gas permeability was studied. The results indicated that the calculated results by the new model was in more agreement for the measured gas permeability than that of the traditional models. Assume that the coal samples obtained from low permeability coal seam with same porosity,gas pressure and distribution expec- tation,and the pore size satisfied the Gaussian distribution,when the standard deviation was larger,the pore structure was more complicated,the gas permeability was larger,and the difference of gas permeability was larger compared with computation models. When the standard deviation increased from 0. 05 to 0. 18,the gas permeability calculated with pore size distribution was changed from 3. 97×10-15 m2 to 4. 2×10-15 m2 ,with an increase of 10. 7% ,and the difference changed from 0. 97% to 11. 78% compared with computation models. Assuming that coal samples were obtained from low permeability coal seam with same porosity and standard deviation,and the pore size satisfied the Gaussian distribu- tion,when distribution expectation was larger,the gas permeability was larger,the gas permeability calculated by the new model is less different from traditional models. When the expectation changed from 0. 35 to 0. 55,the gas permea- bility calculated with pore size distribution was changed from 2. 18 ×10-15 m2 to 4. 86 ×10-15 m2 ,with an increase of 123% . When calculating the permeability of low permeability coal seams with complex pore size,the new model can calculate the gas permeability more accurately.

     

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