Crosswell traveltime tomography is a common technique in the oil indus
try for determining the velocity function in the plane between two bor
eholes. However, the method suffers from the well-known problem that t
he lateral resolution is far less than the vertical resolution because
of the unfavorable illumination conditions for survey geometries comp
rising vertical wells. Consequently, it is very difficult to image sud
den lateral changes in the velocity function accurately using this tec
hnique. We propose a method for determining such changes, which severe
ly constrains the solution space by inverting for the position of a la
teral velocity contrast only. The velocity model on each side of the c
ontrast is derived from the well logs. The potential of the method is
first demonstrated in two synthetic examples in which its properties a
re compared with those of an unconstrained 2-D tomographic inversion.
As expected, the constrained method has much better convergence proper
ties than the unconstrained one in these examples. We also compare the
two methods in a real setting, in which a sudden lateral velocity cha
nge, associated with a geological transition, is expected. It turns ou
t that a lateral contrast can be imaged with both methods in this real
data example. However, the image obtained with the new method better
explains the observed facts.