Laboratory longitudinal diffusion tests: 1. Dimensionless formulations and validity of simplified solutions
Laboratory longitudinal diffusion tests: 1. Dimensionless formulations and validity of simplified solutions
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DOI：
10.1016/j.jconhyd.2008.01.004
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发表时间：
2008-04-28
影响因子：
3.6
通讯作者：
Hiratsuka, T.
中科院分区：
文献类型：
--
作者：
Takeda, M.;Nakajima, H.;Hiratsuka, T.
为了获得可靠的扩散参数进行扩散测试，不仅需要对多个实验进行交叉核对，还需要验证每个实验的内部一致性。在溶储层透扩散试验中，不同相的测试解释通常采用简化解析解。本研究探讨了使用简化解析解进行稳态、准稳态、平衡和瞬态分析的可行性，涉及到(i)每个解析解的有效条件，（ii）潜在误差，以及（iii）实验时间。为了提高通用性，采用统一的无量纲参数进行了一系列数值分析，结果均与无量纲储层体积（DRV）有关，其中仅包含未知的吸附参数。这意味着可以根据测试材料和/或示踪剂的吸附特性来研究上述因素。主要发现是，当示踪剂吸附性不高时，稳态、准稳态和平衡态分析是适用的。然而，与稳态分析相比，准稳态和平衡态分析在示踪剂无吸附和材料孔隙率非常低的情况下变得低效或不切实际。系统、全面地重新制定分析模型，可以比较不同测试方法之间的实验时间。还可以研究每种测试解释的适用性和潜在误差。这些可以应用于设计、执行和解释扩散实验，通过从目标材料和示踪剂的可用信息中推断DRV，并结合本研究的结果。(C) 2008 Elsevier B.V.版权所有
To obtain reliable diffusion parameters for diffusion testing, multiple experiments should not only be cross-checked but the internal consistency of each experiment should also be verified. In the through- and in-diffusion tests with solution reservoirs, test interpretation of different phases often makes use of simplified analytical solutions. This study explores the feasibility of steady, quasi-steady, equilibrium and transient-state analyses using simplified analytical solutions with respect to (i) valid conditions for each analytical solution, (ii) potential error, and (iii) experimental time. For increased generality, a series of numerical analyses are performed using unified dimensionless parameters and the results are all related to dimensionless reservoir volume (DRV) which includes only the sorptive parameter as an unknown. This means the above factors can be investigated on the basis of the sorption properties of the testing material and/or tracer. The main findings are that steady, quasi-steady and equilibrium-state analyses are applicable when the tracer is not highly sorptive. However, quasi-steady and equilibrium-state analyses become inefficient or impractical compared to steady state analysis when the tracer is non-sorbing and material porosity is significantly low. Systematic and comprehensive reformulation of analytical models enables the comparison of experimental times between different test methods. The applicability and potential error of each test interpretation can also be studied. These can be applied in designing, performing, and interpreting diffusion experiments by deducing DRV from the available information for the target material and tracer, combined with the results of this study. (C) 2008 Elsevier B.V. All rights reserved.