T arakan basin formed by the activity of sedimentation, tectonics and structure. Stratigraphically have rock formations from old to young is clayey formation, Tabul Formation, Formation Santul, Tarakan Formation, Formation Bunyu. Three-dimensional model of the reservoir sandstones have been built with the integration of geophysical and petrophysical data usage, creation of 3D models based on geostatistical reservoir sandstones include the distribution of porosity, water saturation, and clay content. Volumetric calculation of potential hydrocarbon reservoir sandstones in the area of research into the final stages of geological modeling. This study aims to establish a geological model based on seismic data and wells that describe the distribution and geometry of the model FAY field within the framework of the 3D structure. Geostatistics is a bridge between the statistics, the steps that must be done includes the analysis, data exploration, model-making properties comparing models, creating a map facies, porosity and permeability distribution map. Results of volumetric calculation will be further reference to economic considerations with respect to the development and production plan FAY Field.