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New method to interpret the ‘canister test’ data for determining kinetic parameters of coalbed gas: theory and experiment
Applied Mathematics in Science and Engineering ( IF 1.3 ) Pub Date : 2021-06-06 , DOI: 10.1080/17415985.2021.1936516
A. L. Karchevsky 1 , L. A. Nazarov 2 , L. A. Nazarova 2
Affiliation  

The nonlinear model has been developed and implemented to describe gas emission from coal slack placed in a sealed container (‘canister test’). The model accounts for initial gas content S, coefficients of diffusion D, mass transfer β and desorption kinetics γ, as well as for fractional composition of the sample. Using the developed analytical method of the initial boundary value problem solution, it is found that the pressure P(t) of gas in the container tends to a constant value with time. The inverse problem of determining the kinetic parameters S, D, β and γ of gas by the pressure P(t) readouts in the experiments has been formulated and subjected to solvability tests. The introduced objective function (discrepancy between P(t) and the calculated pressure) is almost independent of β. Based on the modification of the conjugate gradient method, the inverse problem algorithm is proposed. Using the data of in situ measurements of pressure in three containers, the authors perform quantification of gas content, as well as diffusion and desorption kinetics coefficients in terms of a coal bed in Berezovskaya Mine (Kuznetsk Coal Basin). The range of the mass transfer coefficient is estimated by the results of the grain-size analysis of the test samples.



中文翻译:

解释确定煤层气动力学参数的“罐试验”数据的新方法:理论与实验

已经开发并实施了非线性模型来描述放置在密封容器中的煤渣的气体排放(“罐测试”)。该模型考虑了初始气体含量S、扩散系数D、传质β和解吸动力学γ以及样品的分数组成。使用所开发的初始边值问题解的解析方法,发现压力()容器中的气体浓度随时间趋于恒定值。由压力确定气体动力学参数SDβγ的反问题()实验中的读数已经制定并进行了可解性测试。引入的目标函数(之间的差异()和计算的压力)几乎与β无关。在对共轭梯度法进行修改的基础上,提出了逆问题算法。作者利用三个容器中的现场压力测量数据,别列佐夫斯卡亚矿(库兹涅茨克煤盆地)煤层的气体含量以及扩散和解吸动力学系数进行了量化。传质系数的范围是通过测试样品的粒度分析结果来估计的。

更新日期:2021-06-06
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