Conventional approaches for the analysis of slug tests are based on variants of the mathematical model defined in Equations. A number of mathematical models have been proposed to represent the physical mechanisms affecting slug-induced responses in high-conductivity formations. The pressure transducer is the primary instrument for measuring water-level changes during a slug test in a high-K aquifer. The most commonly used methods for the analysis of slug tests in high-K formations are based on models that assume that the impact of the nonlinear terms in Equation is negligible. The discussion of these linear models will be separated according to their representation of the slug-induced flow in the formation. The fully transient linear models represent the slug-induced flow in the formation with the conventional radial or cylindrical flow equation. A program of slug tests at a well screened in highly permeable material should be designed to assess the impact of nonlinear mechanisms.