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Analytical Solutions to Coupled HM Problems to Highlight the Nonlocal Nature of Aquifer Storage

机译：耦合HM问题的解析解以突出含水层存储的非局部性质

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Specific storage reflects the volumetric deformation capacity of permeable media. Classical groundwater hydrology equates elastic storage to medium compressibility (plus fluid compressibility times porosity). However, it is unclear if storage behavior can be represented by a single parameter. Hydraulic gradients act as body forces that push the medium in the direction of flow causing it to deform instantaneously everywhere, i.e., even in regions where pressure would not have changed according to conventional fluid flow. Therefore, actual deformation depends not only on the mechanical properties of the medium but also on aquifer geometry and on surrounding strata, which act like constraints to displacements. Here we discuss the question and highlight the nonlocal nature of storage (i.e., the volume of water released at a point depends on the poroelastic response over the whole aquifer). Proper evaluation of transient pressure and water release from storage requires acknowledging the hydromechanical coupling, which generally involves the use of numerical methods. We propose analytical solutions to the HM problem of fluid injection (extraction) into finite aquifers with one-dimensional or cylindrical geometries. We find that pressure response is much faster (virtually instantaneous) and larger than expected from traditional purely hydraulic solutions when aquifer deformation is restrained, whereas the pressure response is reversed (i.e., pressure drop in response to injection) when the permeable medium is free to deform. These findings suggest that accounting for hydromechanical coupling may be required when hydraulic testing is performed in low permeability media, which is becoming increasingly demanded for energy-related applications.
机译：比存储反映了渗透性介质的体积变形能力。古典的地下水水文学将弹性存储等同于中等压缩率（加上流体压缩率乘以孔隙率）。但是，尚不清楚存储行为是否可以由单个参数表示。水力梯度起着将流体沿流动方向推动的体力的作用，使介质在任何地方即瞬间变形，即使在压力不会根据传统流体流动而变化的区域中也是如此。因此，实际变形不仅取决于介质的机械性能，而且取决于含水层的几何形状和周围的地层，它们的作用就像是对位移的约束。在这里，我们讨论这个问题并强调存储的非本地性（即某一点释放的水量取决于整个含水层的孔隙弹性响应）。适当评估瞬态压力和水从存储中释放时，需要确认流体力学耦合，这通常涉及数值方法的使用。我们为具有一维或圆柱几何形状的有限含水层中的流体注入（抽取）的HM问题提出了解析解决方案。我们发现，当含水层变形受到抑制时，压力响应要比传统的纯液压解决方案快得多（几乎是瞬时的），并且比传统的纯液压解决方案所期望的要大得多，而当渗透性介质自由流动时，压力响应则相反（即响应注入的压降）。变形。这些发现表明，在低渗透性介质中进行水力测试时，可能需要考虑水力机械耦合，而对于与能源相关的应用，这一要求越来越高。

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