Investigators in diverse fields of scientific investigations (specially the geo-statisticians) have long been concerned with the so called Regionalised Variable (ReV) or variables whose values are in some way related to their positions in space. In such situations it becomes sometimes necessary to estimate the values for certain measures based on the ReV over some suitable blocking or redivision of the space. In thls paper we deliniate a numerical Bayesian method based on the Gibbs sampling approach towards solving this class of problems whlch is capable of being tuned to various situations arising in the geological and other investigations dealing with ReVs. The paper deals with the problem of estimating the volume of an accumulation, from a data comprising of heights of the accumulation at random points, in some details and also reports the results of a few numerical applications of the methodology developed.