2. Definition A mathematical model can be defined as a formulation or an equation that expresses the essential characteristics of a physical system or process in mathematical terms. In other words, a simplified mathematical representation of a complex reality.
3. Components Can be represented by the functional relationship: ) f ( Dependent Variables functions of force Independent variables = , parameters, Characteristic that generally reflects the behavior or state of a system External influences acting on it Dimensions such as time and space, through which the behavior of the system will be determined Reflections of the properties or composition of the system
6. General Aspects It is a equation that describes the flow of a fluid through a porous medium The law was formulated by Henry Darcy based on the results of experiments (published 1856) and It´s used to describe oil, water, and gas flows through petroleum reservoirs.
7. What is its fundament? Darcy's law is a simple proportional relationship between the instantaneous discharge rate through a porous medium, the viscosity of the fluid and the pressure drop over a given distance. Fuente: http://hays.outcrop.org
9. Mathematic Model Where: k= Permeability of themedium A= Cross-sectionalareatoflow (Pb − Pa)= Pressure drop μ = Dynamic viscosity L = Length the pressure drop (-) = Negative because the fluids flow from high pressure to low pressure Unidades: ft³/s or m³/s
10. Aplication in the Petroleum Industry Darcy's law has as its main applicability in the determination of permeability, which is a property that measures the ability to transfer fluids have to go through the rock.
11.
12. ONOFRE, Rojas. PhysicalModels and mathematicalmodels. Magazine exata e naturaisscience. Vol. 3 No.1 JanuarytoJuly of 2001.
