Objective:

Design an algorithm to calculate wellbore hydraulics parameters including standpipe pressure, Equivalent Circulating Density $($ECD$),$ Bit Pressure Drop, Horsepower per square inch $($HSI$),$ Jet Impact Force, and Optimum Nozzle Sizes based on given inputs such as mud properties, nozzle sizes, fluid flow rates, drill string components and sizes, and wellbore dimensions $($casing and open hole$).$

Instructions:

Develop a detailed algorithm that takes into account the various inputs and calculates the required parameters for wellbore hydraulics.

Utilize relevant equations and formulas for each parameter calculation.

Ensure the algorithm is efficient and capable of handling different scenarios and input variations.

Provide clear explanations and comments within the algorithm code to enhance understanding.

Test the algorithm with sample input data to verify its accuracy and functionality.

Inputs:

Mud properties $($e$.$g$.,$ viscosity, density, dial readings$)$

Nozzle sizes

Fluid flow rates

Drill string components $($e$.$g$.,$ drill pipe, drill collars$)$ and their lengths and sizes

Hole depth $($both True Vertical Depth $($TVD$)$ and Measured Depth $($MD$))$

Other relevant parameters as necessary

Outputs:

Standpipe Pressure

Equivalent Circulating Density $($ECD$)$

Bit Pressure Drop

Horsepower per square inch $($HSI$)$

Jet Impact Force

Optimum Nozzle Sizes