Could anybody let me know what are some of the key differences between solute transport equations and the groundwater flow equations?

Thank you

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Could anybody let me know what are some of the key differences between solute transport equations and the groundwater flow equations?

Thank you

Pores and their properties.

Could anybody let me know what are some of the key differences between solute transport equations and the groundwater flow equations?

Thank you

This is a big subject.

You will need to supply more information for a better answer.

This is actually all the information that I have to answer this question.

I think you actually know more than you realise.

To be asked this question you must be studying some subject.

Different subjects approach this in different ways so is this a question in

Mathematics

Geology

Chemical Engineering/Soil Mechanics

Civil Engineering

Or what?

Equally you must have been given a definition and statement of these equations

So what have you been told?

Groundwater flow is often treated as potential flow.

This can be approached by complex analysis (conformal mapping) or using partial differential equations.

Do you understand this term?

Geologically speaking transport phenomena apply to suspensions, mixed sediments and even small pebbles as well as true solutions.

You also have the difference between saline and fresh water and mixing phenomena to consider.

Groundwater considerations in Civil Engineering include pressures on retaining walls and foundations, and the issue of active and passive pressures.

As I said before, pure solutions are treated as just other (different) liquids in both porous media and bulk fluid dynamics.

You didn't even ask what I meant by pores!

Chemical Engineers and Geologists may be interested in the reactions of such solutions with the transmission medium eg acid groundwater in limestone regions.

So that's over 20 lines of text I have put into your problem so far, to your 2.

I tried to answer my question through the follows:

Groundwater flow equation:

•Derived using Darcy’s law

•Head gradient causes fluid movement

Solute transport equation:

•Derived using Fick’s law

•Concentration gradient causes mass/contaminants movement

The idea here is to answer the question by the hydrology approach.

Could you please let me know if you have any ideas about my answers/approaches

BTW, you mentioned, "Groundwater flow is often treated as potential flow". The question here is how we can use this statement to compare groundwater equations and solute transport ones?

Well done.

Furthermore you have narrowed down the topic to managable propertions.

Yes Darcy v Fick is a very good start.

But remember that hydraulic head derives from gravity.

And gravity will also act on solutions.

But regardless of the size of the hydraulic head water or solution will not flow through rock and some soils without connecting pores /fissures.

For instance the 4000m hydraulic head of lake Titicaca is insufficient to force the water through the andesite of the Andes.

And dissolved contaminants have a near infinite percolation time through puddled clay.

So both Darcy and Fick have their limitations.

As regards potential flow I'm not sure you understand.

Fluid Flow nets, for instance under dams, have the same form as stress patterns (Coulomb's bulb).