System and method for determining viscoelasticity of curved tissue walls using ultrasound bladder vibrometry (UBV). The UBV is a non-invasive technique utilizing, in a specific case, a focused ultrasound radiation force to excite Lamb waves in a curved bladder wall and pulse-echo techniques to track the tissue deformation propagating through such curved wall. Cross-spectral analysis is used to calculate the wave velocity, which is directly related to the elastic properties of the bladder wall.