On the exact analytical formula for dimensionless injection rate in CO2 storage based on Special Trans Functions Theory.

In this article, Special Trans Functions Theory (STFT) is used to obtain exact solutions of the transcendental equation that describes Dimensionless Injection Rate (DIR) for CO 2 storage. The obtained results were compared with DIR values calculated by a sequential asymptotic formula (SAF) based on the Lambert W function. The proposed exact analytical approach to determining DIR solutions implies considerable qualitative improvement compared to the conventional analytical and numerical methods. Determining STFT DIR solution for CO 2 storage is novel and precise, while the computations are simple, practical and do not require significant computation time. Note that the formulas derived within STFT in applied physics and engineering domains are characterized by structural robustness and complexity. It is a kind of “genetic characteristic” of STFT formulas, which does not affect the efficiency and simplicity of their applications. This paper additionally analyzes the importance of choosing an exact analytical solution for transcendent functional equations that describe the phenomenon of CO 2 storage, since these above-mentioned nonlinear forms describe many other significantly different physical phenomena. This implies the generalization of STF Theory. [ABSTRACT FROM AUTHOR]