The document discusses the crucial role of linear algebra in earth sciences, particularly in oil exploration, seismicity, and geological modeling. It highlights the use of linear equations for data collection and interpretation by geophysicists, as well as applications in predicting natural phenomena such as earthquakes and weather forecasting. Additionally, it mentions the significance of mathematical tools in coal mining and drilling processes.

1. APPLICATION OFLINEAR
ALGEBRAINEARTHSCIENCES

3. LOOKING FOR THE ASSETS

4.  Today In The World, The Oil, Gases, Water,
And Other Organic Resources Are Much
Necessary And Vital.
 Every Industry Runs On Petroleum And That’s
Why Oil Exploration Plays An Important Role
In It.
 The Linear Algebra Has Fascinating Deal With
Oil Exploration, Though On A Basic Level.
 Linear Algebra Drives A Knowledge For
Seismicity And Exploration.
 The System Of Linear Equations Has Much
More Role In It.

5. • Seismic Interpretations And Data
Acquisitions Are The Most Important And
Inevitable Part Of Our Field.
• The Data Is Collected In The Forms Of
Array Of System Of Linear Equations And
Then It Is Related And Solved By
Computations.
• Later Data Is Interpreted By Trained Eyes
Of Geophysicists.
• The Seismic Waves Are Those The System
Of Equations That Surpass Their Journey
From Source To Reflector And To The
Geophones.

6. Geologist Use Mathematical
Handy Engineering To
Compute And Design The
Geometry Of Earth And
Rocks.
The Topographic Modelling
Is Very Important As It Lead
The Geologist To Predict The
Future Results Of Shapes Of
Particular Area.

7. • Shearing In Rock Is The
Common Phenomena And
Linear Algebra Using,
Shearing Transformation,
Can Predictably Tell Us The
Shearing Extent Of Rocks
And Future Behavior

8. • Linear Algebra Has
Prestigious Example In
The Coal Mining And
Drilling Process, It’s Not
Surprisingly That All
Mathematical Tool Kits
Are Used On Computer.
• All machines are used
through computers.

9. The earthquake epicenter is visualized and can
easily be found by the application of linear
algebra
Earthquake location is an important application
of linear algebra which involves calculating the
transpose and the inverse of matrices and using
matrix multiplication and multiplication by a
vector. .

10. • Weather forecasting is
the valuable source of
linear algebra as one can
predict the incoming
calamity.
• Use wave equations, air
flow velocity and
temperature gradients
we may predict the rainy
season.

11. Linear Models Are Often Used For Modeling Terrain,
Glacial Cirques, Soil Ph, Erosion Surfaces, And
For Grain Size Analysis. Trend Surface, A Least-squares Fit
Method, Is Used.

12. •Thanks
For Your
Attention