OSDC.DotnetLibraries.General.Surveying 1.0.5

.NET 6.0

dotnet add package OSDC.DotnetLibraries.General.Surveying --version 1.0.5

NuGet\Install-Package OSDC.DotnetLibraries.General.Surveying -Version 1.0.5

This command is intended to be used within the Package Manager Console in Visual Studio, as it uses the NuGet module's version of Install-Package.

<PackageReference Include="OSDC.DotnetLibraries.General.Surveying" Version="1.0.5" />

For projects that support PackageReference, copy this XML node into the project file to reference the package.

paket add OSDC.DotnetLibraries.General.Surveying --version 1.0.5

The NuGet Team does not provide support for this client. Please contact its maintainers for support.

#r "nuget: OSDC.DotnetLibraries.General.Surveying, 1.0.5"

#r directive can be used in F# Interactive and Polyglot Notebooks. Copy this into the interactive tool or source code of the script to reference the package.

// Install OSDC.DotnetLibraries.General.Surveying as a Cake Addin
#addin nuget:?package=OSDC.DotnetLibraries.General.Surveying&version=1.0.5

// Install OSDC.DotnetLibraries.General.Surveying as a Cake Tool
#tool nuget:?package=OSDC.DotnetLibraries.General.Surveying&version=1.0.5

The NuGet Team does not provide support for this client. Please contact its maintainers for support.

Preamble

This package is developed as part of the Society of Petroleum (SPE) Open Source Drilling Community, a sub-committee of the Drilling System Automation Technical Section. This package contains classes to perform survey calculations

Conversion from Latitude-Longitude to X-Y

The earth is modelled as an oblate, i.e., a spheroid flatened at the pole. At a given latitude, a path on the Earth is a circle. Let us consider that the origin of longitudes is Greenwich and that the Earth is modelled by a semi-long axis, $a$, and a flatening, $f$. The flatening is defined as: $f = \frac{{a - b}}{{a}}$ where $b$ is the semi-short axis. Therefore the semi short axis can be expressed as: $b = a - f \cdot a$

The radius of the Earth at a given latitude, $\phi$ is given by: $R(\phi) = \frac{{a \cdot \sqrt{{\cos^2(\phi) + \frac{{b^2}}{{a^2}} \cdot \sin^2(\phi)}}}}{{\sqrt{1 - f \cdot (2 - f) \cdot \sin^2(\phi)}}}$

At that latitude the $y$-coordinate (east-west) is the length of the circular arc counted from the Greenwich meridian, i.e., the longitude angle, $\lambda$: $y = R(\phi) \cdot \lambda$ The $x$-coordinate (south-north) is the length of the elliptical arc counted from the equator using the latitude. This involves the elliptic integral of the second kind, denoted $E(\phi, m)$ where $m=1- \frac{{b^2}}{{a^2}}$. Its definition is: $E(\phi, m) = \int_0^\phi \sqrt{1 - m \cdot \sin^2(t)} , dt$. The definition of $x$ is then: $x = a \cdot E(\phi, m)$.

Conversely, to retrieve the latitude and longitude from the $x$ and $y$ coordinates, i.e., arc lengths, the following method is used: $\phi = E^{-1}(\frac{x}{a}, m)$ and $\lambda = \frac{y}{R(\phi)}$.

The elliptic integral of the second kind is calculated using the special function defined in OSDC.DotnetLibraries.General.Math, namely SpecialFunctions.EllipticE(phi, m) and its inverse is Elliptic.InverseEllipticE(x, m).

So in conclusion, the $x$ and $y$ coordinates of CurvilinearPoint3D are not coordinates on a line but arcs. $x$ is a circular arc and $y$ is an elliptical arc. The origin of $x$ and $y$ is the point at the equator at the Greenwich meridian. Their calculations is based on the WGS84 definition of the Earth.

Product	Compatible and additional computed target framework versions.
.NET	net6.0 is compatible. net6.0-android was computed. net6.0-ios was computed. net6.0-maccatalyst was computed. net6.0-macos was computed. net6.0-tvos was computed. net6.0-windows was computed. net7.0 was computed. net7.0-android was computed. net7.0-ios was computed. net7.0-maccatalyst was computed. net7.0-macos was computed. net7.0-tvos was computed. net7.0-windows was computed. net8.0 was computed. net8.0-android was computed. net8.0-browser was computed. net8.0-ios was computed. net8.0-maccatalyst was computed. net8.0-macos was computed. net8.0-tvos was computed. net8.0-windows was computed.

Product

.NET

Compatible target framework(s)

Included target framework(s) (in package)

Learn more about Target Frameworks and .NET Standard.

net6.0
- OSDC.DotnetLibraries.General.DrillingProperties (>= 1.1.5)

NuGet packages

This package is not used by any NuGet packages.

GitHub repositories

This package is not used by any popular GitHub repositories.

Version	Downloads	Last updated
1.0.5	167	2/7/2024
1.0.4	114	2/7/2024
1.0.3	205	6/29/2023
1.0.2	152	6/28/2023
1.0.1	148	6/28/2023
1.0.0	176	4/25/2023

OSDC.DotnetLibraries.General.Surveying 1.0.5

Preamble

Conversion from Latitude-Longitude to X-Y

net6.0

NuGet packages

GitHub repositories