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Reservoir EngineeringWell PerformanceCalculation record

Joshi Horizontal Well Drainage Ellipse Area Calculator

Aac=πrehrev43560A_{ac}=\frac{\pi r_{eh}r_{ev}}{43560}

Enter the declared reservoir engineering inputs below to solve A_ac. Variable definitions, units, the default calculation, and the available source trail are included on this page.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

3 variables

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Extended guidance in preparation

What is available in this record

This record provides the functioning calculator, formula, declared variables and units, a reproducible default result, and the available citation metadata. A separately written engineering interpretation has not yet been published for this calculation.

Formula reference

Formula, variables, and default calculation

Aac=πrehrev43560A_{ac}=\frac{\pi r_{eh}r_{ev}}{43560}

Reproducible default result

With the default values shown below, the calculation returns A_ac = 22.806676 acres. Defaults demonstrate the implementation; they are not recommended field values.

r_ehft

1000

k_hmD

100

k_vmD

10

Input definitions

r_eh

ft

Horizontal Drainage Radius

k_h

mD

Horizontal Permeability

k_v

mD

Vertical Permeability

Output definitions

A_ac

acres

Horizontal Well Drainage Area

A_ft2

ft2

Horizontal Well Drainage Area

r_ev

ft

Vertical-Plane Equivalent Drainage Radius

beta

dimensionless

Permeability Anisotropy Coefficient

Source and record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewed

Joshi, S.D. 1988. Augmentation of Well Productivity With Slant and Horizontal Wells; Petroleum Office horizontal well drainage-area documentation.

Open source reference