The zero-temperature penetration depth in the CuO2 plane of YBa2Cu3O7
has been found to be very anisotropic. The large measured difference b
etween the a and b directions is taken as evidence that a significant
part of the condensate resides in the chains. We present a simplified
model for this anisotropy in which planes (CuO2) and chains (CuO) are
described within a single tight-binding band but with different hoppin
g parameters in the a and b directions. The pairing is assumed to be d
ue to spin fluctuations in the nearly antiferromagnetic Fermi liquid,
but a different mechanism that leads to d-wave-type pairing would have
similar results.