Mathematical correlation for Diffusivity coefficient and Geostatistical relation of Asmari Reservoir

Diffusivity coefficient is related to the reservoir rock and fluid properties. This parameter shows the ability of fluid flowing through porous media respect to wellbore storage coefficient. This coefficient can be used to identify reservoir characterizations and its value can be obtained from well testing methods.In this paper we want to investigate Asmari reservoir of 3 fields as a case study. At first, our aim is to obtain mathematical correlation between productivity index and Diffusivity coefficient. To achieve this approach, needed data including petrophysics, PVT and production data for three mature fields of Asmari were collected. Then data obtained from well test were analyzed. Result shows that there is a mathematical relation between diffusivity coefficient and productivity index. By using this relationship and having productivity index the value of diffusivity constant and consequently permeability of area around wells and other different zones of reservoir can be obtained without doing well test. This correlation is very useful especially when we haven’t enough well test data. We obtained 3 correlations for these 3 reservoirs and because these correlations are resembled to each other, we can find a unique equation for these 3 reservoirs by mixing them. Also we can extent this correlation to any other Asmari reservoirs of Iran.Also by using geostatistical techniques (krigging) we generalized resulted data from well testing to other parts of reservoir and then plot isoperm maps for showing distribution pattern of permeability and other parameters. Another dominant point of this paper is representation of different distribution pattern especially reservoir permeability and productivity index for determination of best location of new wells.