h i g h l i g h t s• A semi-analytical solution is proposed to assess CO 2 injection in deformable medium.• Good agreement is found between the proposed solution and the finite element method.• Geomechanical interactions between a caprock and adjacent regions are examined.• The surface uplift measured at In Salah can be reproduced by the proposed solution.a r t i c l e i n f o
b s t r a c tThis study focuses on the derivation of a semi-analytical approach for the evaluation of surface uplift and caprock deflection induced by underground injection of CO 2 . The adopted methodology includes the development of a mathematical model that incorporates the deformable behaviour of the storage reservoir and the flow of two immiscible fluids (CO 2 and brine) within the aquifer while the surface rock or the caprock layer is modelled as a thin plate. Governing equations are solved for the axisymmetric flexural deflection due to a constant rate of CO 2 injection. Both developed solutions are applied to a representative CO 2 storage case solved numerically by the finite element method, and good agreement between results is observed. When benchmarking to the In Salah surface uplift, the developed semi-analytical approach can capture a high rate of surface uplift caused by the pressure build-up during the early stage of CO 2 injection. The required calculation time is very short compared to a classical finite element approach. This method can be employed as a design tool for the analysis of uncertainty in parameters such as the injection rate, porosity, rock properties and geological structures. This semi-analytical approach also provides an efficient means of estimating the influence of high injection rates of CO 2 on surface uplift.