Injection of acidized water into the crack process area has been known for long to induce subcritical crack propagation. Acid rain or vegetation decomposition can cause activation or reactivation of landslides at subcritical stress, while acid injection is used to enhance oil and gas reservoir stimulation. Equally promising is acid enhancement of crack propagation in geothermal field stimulation. To quantify the above mentioned processes, crack propagation is simulated using a chemo-elasticity model in which a chemically controlled strain is added to linear elastic strain, in analogy to thermal strain. That strain is proportional to accumulated mass removal, controlled by a chemical reaction. The coefficient of chemical shrinkage is either constant, or is postulated to depend on the level of straining of rock using various scalar measures of either volumetric or shear strain to simulate the dependence of mineral dissolution on micro-cracking. With that formulation an Airy stress function, as in classical linear elasticity solution, has been for the first time, to our knowledge, used for solving chemo-elasticity problem, by employing an additional particular potential term. The results suggest that a constant chemically induced shrinkage alone is not sufficient to produce any significant enhancement of the crack tip displacement. However, making the coefficient of chemical shrinkage dependent on a shear strain invariant (and hence making the constitutive law implicit), leads to an enhancement of crack propagation velocity at a desired level. Yet, the obtained crack propagation acceleration appears to be too modest. That suggests that to obtain realistic results, in addition to diffusive transport, the advective–reactive transport process (especially, permeability) should be as well coupled to deformation.

长期以来，将酸化水注入裂纹过程区域会引起亚临界裂纹扩展，这是众所周知的。酸雨或植被分解可在亚临界应力下引起滑坡的活化或再活化，而注入酸用于增强油气藏的增产。同样有希望的是，在地热田增产过程中，提高裂缝扩展的酸度。为了量化上述过程，使用化学弹性模型模拟了裂纹扩展，在化学模型中，类似于热应变，将化学控制应变添加到了线性弹性应变中。该应变与通过化学反应控制的累积质量去除成正比。化学收缩系数是恒定的，或假设使用体积或剪切应变的各种标量方法来模拟岩石的应变水平，以模拟矿物溶解对微裂纹的依赖性。据我们所知，通过这种公式，艾里应力函数首次像采用经典线性弹性解决方案那样，通过使用其他特定的潜在项而用于解决化学弹性问题。结果表明，仅持续的化学诱导收缩不足以产生裂纹尖端位移的任何显着增强。但是，使化学收缩系数取决于剪切应变不变性（并因此使本构定律隐含）会导致裂纹扩展速度达到所需水平。然而，所获得的裂纹扩展加速度似乎不太适中。这表明，为了获得现实的结果，除了扩散传输外，对流-反应传输过程（尤其是渗透性）也应与变形耦合。