and found a clear discrepancy between the experimental and theoretical values of the deformation-induced transverse force. Then, they computed the quasi-steady evolution of deformable bubbles moving in a wall-bounded linear shear flow at zero Reynolds number using a spectral boundary element method developed by [@dim2007], and found that the measured deformation-induced lift force agrees quantitatively well with the computational prediction. Motivated by their conclusions, we revisited experimental data of the bubble migration in a quiescent liquid obtained by [@tak2002], and analysed the data on the conditions that the clearance between the bubble interface and the wall is comparable to or shorter than the bubble radius, which was not considered there. The results revealed that the discrepancy between the migration velocities of the experiment and the theory increased as the bubble was closed to the wall, as detailed below.

In this paper, we focus on the bubble motion in a quiescent liquid to simplify the subject. Let us consider the migration velocity $V_{B3}(={\bm V}_{B}\cdot {\bm e}_{3})$ of a bubble rising near a vertical plane wall at a distance $d$ between the bubble centroid and the wall as schematically illustrated in figure \[fig:schem\](a). The bubble has an equivalent radius $a$ to that 