HIGHER-ORDER CORRECTIONS TO THE FLOW VELOCITY COVARIANCE TENSOR, REVISITED

Recently the authors presented an accurate (in the variance of fluctua ting log conductivity), second-order solution to the steady, saturated flow problem. The longitudinal, second spatial moment was evaluated n umerically on the basis of the perturbation solution, and it was found that second-order corrections to the head field had little effect on this moment. Here we use the same theory and evaluate the second, tran sverse spatial moment. We find, in agreement with others, that our the ory suggests that the second-order head corrections, as well as the no nlinear velocity corrections, are important.