Directional Drilling Equation

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Planning Direction of wellbore using single equation methods Wiggins

TVD1 r1

I TVD2 ,

0

(

)

1

I

TVD3

X

TVD4

I

DEP2

DEP3

DEP4

r2

Survey using Radius of curvature methods

(

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)(

)

(

(

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) (

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(

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)( (

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Survey using Minimum of curvature Methods ( √.

) /

*

,

(

)-+ In radians

In radians

.

/ In radians (

)( (

(

) )

) In radians (

)(

(

)(

) In degree ) In degree

Closure assuming wellhead coordinate are 0.00’N and 0.00’E .

/

)

√(

(

)

Vertical section (

)(

)

Note: When Closure direction of survey has been settled, use the value of given Closure Direction to find Vertical Section (you will find negative value of Vertical Section in Target Depth) Dogleg severity .

*(

/

√( √(

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/1

/(

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/1

This equation is simple but not very accurate below

an inclination of 5°.

At the Report you’ll have to plotted -

Horizontal view which is a plot of Vertical Section to True Vertical Depth

-

Plane view which is a plot of East to North

-

Inclination Change which is a plot of Inclination to True Vertical Depth

-

Azimuth Change which is a plot of Azimuth to True Vertical Depth

-

Dogleg Severity which is a plot of Dogleg Severity to True Vertical Depth

Nomenclature Br

= Build rate, degrees/ft

DEP

= Horizontal departure, ft.

I I1

= Inclination or hold angle, degrees = Inclination angle at upper survey point, degrees

I2

= Inclination angle at lower survey point, degrees

L

= Length of the first hold section, ft

MD

= Measured depth, feet.

R

= Total radius of curvature, ft

r1

= Radius of curvature in the first build section, ft

r2

= Radius of curvature in the drop section, ft

TD

= Target depth, feet.

TVD

= True vertical depth, ft.

X

= Tangent calculation

Δ

= Change in parameter value