Th geomechanical response of a porous reservoir due to injection of fluid can result from a complex interplay between the changes in porepressure and temperature near the wellbore. As a result, predictions are usually made using either simplified analytical models, which may apply unrealistic assumptions in order to produce a tractable model, or detailed numerical simulations that can be computationally expensive.

LaForce et al. (2014a, 2014b) developed a semi-analytical model for the geomechanical response of a reservoir to nonisothermal, multi-phase fluid injection, which has been used in studies of CO${}_2$ sequestration. We demonstrate that a numerical solution using the MOOSE software precisely matches the analytical formulae. We then include various effects in the numerical model that relax the simplifying assumptions made in the analytical derivation. We find the analytic and numerical solutions for the fluid and temperature fronts still agree reasonably, while only qualitative agreement is observed for other quantities such as stress and displacement.

We conclude the LaForce, Ennis-King, Paterson, 2014a, LaForce, Mijic, Ennis-King, Paterson, 2014b solutions are useful for rapid investigation of projects involving injection of cold fluid into warm aquifers. However, the enhancements afforded by MOOSE, such as high-precision fluid equations of state and the ability to more accurately capture geological complexity, along with its computational scalability which greatly reduces runtimes, means that MOOSE should be preferred for more sophisticated analyses. Because validating complex coupled codes is challenging, we propose that the model contained herein can be used as a benchmark for other coupled codes.

由于流体的注入，多孔储层的地质力学响应可能是井眼附近的孔隙压力和温度变化之间复杂的相互作用所导致的。结果，通常使用简化的分析模型（可能会应用不切实际的假设以生成易于处理的模型）进行预测，或者使用可能在计算上昂贵的详细数值模拟来进行预测。

LaForce等。（2014a，2014b）为储层对非等温多相流体注入的地质力学响应开发了一个半解析模型，该模型已用于CO的研究。${}_{\mathrm{2个}}$隔离。我们证明了使用MOOSE软件的数值解决方案与解析公式精确匹配。然后，我们在数值模型中包括各种影响，这些影响放松了分析推导中所做的简化假设。我们发现流体和温度前沿的解析解和数值解仍然合理地吻合，而对于其他量（例如应力和位移）仅观察到定性的吻合。

我们得出结论，LaForce，Ennis-King，Paterson，2014a，LaForce，Mijic，Ennis-King，Paterson，2014b解决方案可用于快速研究将冷流体注入温暖的含水层的项目。但是，MOOSE提供的增强功能（例如高精度的流体状态方程式以及更准确地捕获地质复杂性的能力）以及可大大减少运行时间的计算可扩展性，意味着对于更复杂的分析，应首选MOOSE。由于验证复杂的耦合代码具有挑战性，因此我们建议将此处包含的模型用作其他耦合代码的基准。