Lecture 19: Geothermal Power

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Part 1

Geothermal Power

Why?

Growing demand for energy

Concern about CO

2 from fossil-fuel burning

Recent Report, The Future of Geothermal

Energy , gives favorable assessment

Indian Point Power Plants 1 and 2, big energy producers in the NY City area

Electric Power Primer

Typical Big Power Plant generates 1GW

One billion watts … 10 9 J/s of energy

In a year it generates

10 9 J/s x 3.1x10

7 s/year = 3.1x10

16 J/year

A nice round number is 10 18 J

That’s the amount of power a 1GW plant

Generates in its nominal 30-year lifetime

US Electrical Power Production

Capacity

906 GW in 2006 rate of increase 1% per year about 1000 big power plants need 10 new ones each year

An aside … controversial Cape Wind project offshore Cape Cod would generated

0.4 GW by 120 turbines

Offsets growth of New

England power demand for about a year or two …

Geothermal lumped into

“Other Renewable” … not much!

Where is the Heat?

Typical Geothermal Gradient: typical region: 20 K/km volcanic region: 100 K/km

Power production needs temperatures well above 100 deg-C

So drilling needed to access heat

3.5 km – easy to drill, but not very hot

What’s that hot spot?

Yellowstone Caldera

Biggest Volcano in US here I am standing by Old Faithful above 10,000 cubic km of magma

6.5 km – expensive but routine, areas of western US are hot

10 km – very hot, but pushing limits of technology

Heat in Rock: Q = r

Cp V

D

T

Heat = density * heat capacity * Volume * change in Temperature

Density = 2500 kg/m 3

Heat Capacity = 1000 J/kgK

Volume = 1 cubic km = 10 9 m 3

D

T = 100 K

So Q = 2.5 x 10 17 J

A 1 GW power plant generates 3.1x10

16 J/year, so this is about tens years of a 1GW power plant

Remember 10 18 J is roughly the amount of energy produced by a power plant in its nominal 30 year lifetime, so these estimates indicate a huge supply of heat energy

How to access heat?

Drill 2 holes, one to inject cold water, another to extract hot water

Circulate fluid

Use hot water to generate steam that turns turbine of more-or-less standard design

Issues

Drill 2 holes … expense of drilling

Circulate fluid … low permeability of rock

Generate steam … dissolved minerals in water

Money Counts!

Any sort of mining or extraction is an

Economic Activity that competes by price against alternatives

If the economics are not right

It will not be done even if it is in theoretically possible to do

Solution to low permeabiliy

Artificially increase permeability by creating fractures

“Hydrofracture” … pressurize well until you crack the surrounding rock, routinely used in oil extraction, at least for small volumes of rock

60 MW Krafla power plant, Iceland: heat from 33 wells drilled into volcano

Tiny by US standards Lots of wells

Power plant

Magma chamber

Part 2

Fresh Water

Possibly the most

Limiting Resource

How much water do you use in a day?

US Water Usage, %

Public Supply

Domestic Supply

11

1

Irrigation

Livestock & Aquaculture

Industrial

Mining

34

2

5

1

Thermoelectric Power 48

US Water Usage, billion gallons / day

Public Supply

Domestic Supply

27.3

0.6

Irrigation

Livestock & Aquaculture

Industrial

Mining

80

3.4

14.9

1.2

Thermoelectric Power 135

Total 262

Ogallala Aquifer

US Water Usage, billion gallons / day

Public Supply

Domestic Supply

27.3

0.6

Irrigation

Livestock & Aquaculture

Industrial

Mining

80

3.4

14.9

1.2

Thermoelectric Power 135

Total 262

Total 262 billion gallons/day

362 cubic kilometers per year

H

2

0

7 km

Public & Domestic Supply

27.9 billion gallons/day

266 gallons per person per day drinking cooking & washing dishes washing clothes flushing toilet

Cooling water for power plants

135 billion gallons/day

450 gallons per person per day

40 kWh average daily electrical consumption per person in US

So 0.08 kWh per gallon a gallon lights the bulb for an hour

Irrigation

80 billion gallons/day

266 gallons per person per day

2750 calories average daily food consumption per person in US

So 10.3 calories per gallon

2.7 calories per liter a gallon gets you a chip

Wheat: 3500 calories/kg

Wheat: 4.6 calories/liter

About 750 liters of water to grow a kilogram

Rice: 3700 calories/kg

Rice: 2.4 calories/liter

About 1550 liters of water to grow a kilogram

How much irrigation water does the world need?

2000 calories/day minimum

At 3 cal/liter

670 liters/day

6 billion people

365 days/year

= 1.46  10 15 liters/year

= 14700 cubic kilometers per year

So how much is available ?

The

Hydrologic

Cycle

108,000 km 3 /year precipitated on land

62,000 km 3 /year evaporated from continental reservoirs

46,000 km 3 /year runoff to oceans

46,000 km 3 /year transported on shore

Need 14,700 km 3

Available 46,000 km 3

So superficially about three times as much water is available than is needed.

But consider …

Some runoff is in uninhabited regions

Runoff is uneven during the year and may be lost to sea before it can be used

The rest of the biosphere uses water, too

Human populations are growing

Runoff is uneven during the year and may be lost to sea before it can be used

Solution – Reservoirs (“Impoundments”) created by damming rivers

Global impoundments of water

8400 km 3

Not much growth in last decade, except in Asia-

Australia

Regional distribution of large dams

Dams in the US. Note that the red symbols indicate high hazard potential. Dam maintenance has not been a high priority for many municipalities and other dam owners.

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