نموذج رياضي جديد يصف تأثير الضغط الطبقي على مسامية و نفاذية الصخور الرملية و الكلسية

الملخص EN

Measuring the petrophysical characteristics of the reservoir rocks (core) is animportant measure in the reservoir studies because it gives a clear picture of the oilproductivity.

Therefore, studying the factors that affect it is extremely important.

One of the mostimportant factors affecting the amount of porosity and permeability of rock isoverburden pressure resulting from the weight of the ground layers.

In this paper, we used the simple non-linear regression method to formulate several models ofthree families of mathematical functions (exponential, power and polynomial), which describe the relationship between overburden pressure and porosity/permeability based on laboratory results of porosity / permeability measurements, we then subjected these models to study, analyze, validate and compare them usingthe coefficient of determination R2 (which is one of the most important statisticalcriteria that measure the quality of regression models) and physical criteria to reachthe optimal modelAll models were formulated using the famous statistics program Origin8 software.

The results showed that there are several mathematical models that can be appliedto represent the relation between overburden pressure and porosity/ permeability ofsand and limestone rocks, because the value of R2 for all mathematical models isvery high (R2 ≥ 98).

For example, sandstone has shown that all models are adecrease in porosity