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An Upgraded Porous Medium Coupled Transport Process Algorithm

机译：升级的多孔介质耦合传输过程算法

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Ever since the Yuster (1951) watershed paper appeared more than half a century ago, viscous coupling subject matter as discussed recently by Wang (1997) has been one of many recent writings that has taken on the importance of serving as a paradigm example of the relevance of coupling phenomena in general that are of interest to geohydrologists and their companion reservoir engineers. And that is why the focus here is put on some additional practical ideas that are intended to be of at least passing interest to professionals involved in field-conducted porous media transport process simulation studies. Specifically, new ideas will be presented in this note about prospective (i.e., plausible but still to be proven) ways to devise and employ algorithms that perhaps in fact should facilitate laboratory and field work conducted by experimentalists who occasionally are interested in shortcut ways to validate theoretical presumptions about the nature of what are hoped to be macroscopically meaningful models governing specific transport processes of interest. And mention will also be made about the parallel work of those who engage in 'computerized games' as a logical way to forecast future reservoir performance outcomes by employing even simplistic variants of the classical Buckley-Leverett computational methodologies. The latter, for example, are of the sorts described in a contemporary sequel paper by Rose (2004). To be noted in particular, however, the analyses presented in what follows also support forecasting under field conditions future reservoir states which according to Gabrielli et al. (1996) can be made without the necessity of invoking any up-scaled principle of microscopic reversibility. This will be reasonable, for example, whenever there are no overriding needs to generate additional independent reciprocity relationships. In fact, the only constraint we shall be imposing here is that, for simplicity, attention will be limited only to some of those specific cases where linear polynomial relationships alone turn out to adequately describe the transport processes of specific interest, and this simply because they explicitly involve linearly related and macroscopically observable fluxes of mass, momentum and/or energy quanta that are sufficiently caused alone by attending conjugate thermodynamic driving forces. The computational algorithms to be described now (code-named here by a palindrome acronym, 'APTPA' to serve as a code name for 'A Prospective Transport Process Algorithm') are ones that makes it possible to simultaneously solve the given N independent transport relationships that can contain as many as N~2 initially unknown transport coefficients whenever the inequality, (M ≥ N ≥ 1) holds, with M being an integer which is larger than unity (but, however, typically still equal to ... or only a bit larger than N). In addition, the companion devices to measure necessary reservoir rock sample properties will be based on the laboratory procedural methodologies recommended by Rose (1997) and further described in Rose (2004), as will be shown in the discussions that follow.
机译：自从Yuster（1951）的分水岭论文出现超过半个世纪以来，Wang（1997）最近讨论的粘性耦合主题一直是许多近期著作中的其中之一，该著作重视将其作为范例的范例。水文学家及其同伴的储层工程师通常感兴趣的耦合现象的相关性。这就是为什么这里将重点放在一些其他实践想法上的原因，这些想法至少会引起参与现场传导多孔介质传输过程模拟研究的专业人员的兴趣。具体而言，本注释中将提出有关设计和使用算法的前瞻性（即，似乎可行但仍待证明）方法的新想法，这些方法实际上可能会促进实验者进行的实验室和现场工作，而这些实验者偶尔对验证的捷径感兴趣关于性质的理论推论，希望是对有意义的特定运输过程具有宏观意义的宏观模型。还将提及那些从事“计算机游戏”的人们的并行工作，这是通过采用经典Buckley-Leverett计算方法的甚至简单的变体来预测未来油藏表现结果的逻辑方法。例如，后者是Rose（2004）在当代续集论文中描述的类型。特别要注意的是，根据Gabrielli等人的说法，以下提供的分析也支持在野外条件下对未来油藏状态的预测。 （1996年）可以不必调用任何微观可逆性的放大原理。例如，只要不需要产生额外的独立互惠关系的最重要需求，这就是合理的。实际上，我们在这里要施加的唯一约束是，为简单起见，注意力将仅局限于某些具体情况，其中仅线性多项式关系就足以充分描述特定关注的传输过程，这仅仅是因为它们明确地涉及质量，动量和/或能量量子的线性相关和宏观可观察到的通量，这些通量是由共轭热力学驱动力单独引起的。现在要描述的计算算法（这里用回文首字母缩写词“ APTPA”代号，用作“预期运输过程算法”的代号）是可以同时解决给定的N个独立运输关系的计算算法。每当不等式（M≥N≥1）成立时，它可以包含多达N〜2个初始未知的传输系数，其中M是大于1的整数（但是，通常仍等于...或仅等于比N大一点）。此外，测量必要的储层岩石样品特性的配套设备将基于Rose（1997）推荐的实验室程序方法，并在Rose（2004）中进一步描述，如以下讨论所示。

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