Fig. 1.A partially penetrating well in a confined aquifer of semi-infinite vertical extent.

Fig. 2.The point flux for a pumped well with no wellbore storage. α is the dimensionless time. The figure shows an example for dimensionless screen length ξ=50. The uniform point flux used in classical approximations is shown for comparison.

Fig. 3.The dimensionless drawdown using the DE approach for pumped wells in confined aquifers without wellbore storage. The solution for fully penetrating wells with finite well radius, but no wellbore storage (Hantush, 1964), and the (Theis, 1935) solution are shown for comparison.

Fig. 4.The dimensionless drawdown using the DE approach with and without wellbore storage. The solution for fully penetrating wells in confined aquifers with finite well radius, but no wellbore storage (Hantush, 1964), and the Papadopulos and Cooper, 1967 solution (f.p.) for fully penetrating wells with wellbore storage, are shown for comparison (f.p.=fully penetrating st.=storage).

Fig. 5.The dimensionless drawdown using the DE approach for slug tests. The solution for fully penetrating wells by Cooper et al., 1967 is shown for reference.

Fig. 6.The dimensionless drawdown using the DE approach, compared with the approximate solution for constant point flux at the well face, and infinitesimal well radius (Hantush, 1961a). The solution for fully penetrating wells with finite well radius, but no wellbore storage (Hantush, 1964), and the Theis, 1935 solution are shown for comparison.

Fig. 7.The comparison between the DE approach and the Dougherty and Babu, 1984 (D and B) approach for pumped tests. The agreement is good. The solution for fully penetrating wells with finite well radius, but no wellbore storage (Hantush, 1964), and the Theis, 1935 solution are shown for comparison.

Fig. 8.The comparison between the DE approach and the Dougherty and Babu, 1984 (D and B) approach for slug tests. The agreement is excellent. The solution for fully penetrating wells by Cooper et al., 1967 is shown for reference. For all curves the wellbore storage coefficient is α_c=10^-5.