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Geomorphology: the processes that shape landforms

Study endogenous and exogenous processes, weathering, erosion, stream power, isostasy and models of landform evolution with formulas and calculations.

Check yourself
In this lesson you will learn
  • Distinguish endogenous and exogenous processes and their energy sources
  • Link types of weathering to climate and write chemical weathering reactions
  • Calculate stream power, isostatic roots and how long it takes to wear down relief
  • Compare classical and modern models of landform evolution

The Greater Caucasus is still rising, and every year mudflows and landslides carry millions of tonnes of rock down its slopes. So every mountain is the result of a “contest” between two forces: one builds relief and the other destroys it. Geomorphology is the science of landforms, their origin and their development.

Endogenous and exogenous processes

FeatureEndogenous (internal) processesExogenous (external) processes
Energy sourcethe Earth's internal heat (radioactive decay, primordial heat)solar energy and gravity
Processesplate motion, folding, faulting, volcanism, earthquakesweathering, erosion, transport, deposition by water, wind, ice and gravity
Effect on reliefmostly increases differences in heightmostly levels the relief
The two groups of landform-shaping processes

The change in height at any point can be written as a simple balance: uplift (tectonic and isostatic) minus denudation, the lowering of the surface by weathering and erosion. When uplift is faster than denudation, mountains grow; when it is slower, they are worn down; when the two are equal, the relief is in dynamic equilibrium.

dz/dt = U − Edz/dt = U − E
where:
  • zsurface elevation, m
  • ttime, years
  • Uuplift rate, mm/year
  • Edenudation (erosion) rate, mm/year

Mass balance of relief: when dz/dt = 0 the landscape is in dynamic equilibrium.

Weathering

Weathering is the breakdown and alteration of rock in place, without transport. In physical weathering rock breaks apart without changing its chemistry: water freezing in cracks expands by about 9% and splits the rock like a wedge; day–night temperature swings peel off the surface layer; growing salt crystals push grains apart. In chemical weathering minerals react with water, CO₂ and oxygen: limestone dissolves (karst caves and sinkholes), feldspar turns into clay, and iron-bearing minerals oxidise into red soils. Biological weathering involves roots and micro-organisms.

CaCO₃ + H₂O + CO₂ ⇌ Ca(HCO₃)₂
where:
  • CaCO₃calcite, the main mineral of limestone (poorly soluble)
  • CO₂carbon dioxide from the air and the soil
  • Ca(HCO₃)₂calcium bicarbonate, which is soluble and carried away

Carbonation, the key reaction of karst. The reverse reaction builds stalactites in caves.

2KAlSi₃O₈ + 2H⁺ + 9H₂O → Al₂Si₂O₅(OH)₄ + 4H₄SiO₄ + 2K⁺
where:
  • KAlSi₃O₈orthoclase (potassium feldspar), a mineral of granite
  • Al₂Si₂O₅(OH)₄kaolinite, a clay mineral
  • H₄SiO₄dissolved silicic acid

Hydrolysis: granite turns into clay and dissolved substances.

The type of weathering depends on climate. In hot, humid climates chemical weathering is very strong: reactions speed up in the heat and water is plentiful, so thick weathered mantles form in the tropics. In cold, wet mountains frost weathering dominates, and in hot deserts temperature and salt weathering do. In cold, dry lands both types are weak.

Erosion and transport: stream power

On land, running water changes relief more than anything else. A river's work is measured by the rate at which it loses potential energy — its stream power. When a volume Q of water (mass ρQ) flows each second down a slope S, it releases ρgQS of energy per metre of channel length. This energy goes into friction, scouring the bed and carrying sediment. According to the Hjulström curve, medium sand is the easiest to pick up: coarse gravel is heavy, and fine clay particles stick together.

Ω = ρ · g · Q · S, ω = Ω / wΩ = ρ · g · Q · S, ω = Ω / w
where:
  • Ωtotal stream power, W/m (per metre of channel)
  • ρdensity of water ≈ 1000 kg/m³
  • ggravitational acceleration ≈ 9.81 m/s²
  • Qdischarge, m³/s
  • Schannel slope (dimensionless, e.g. 1 m per km = 0.001)
  • ωspecific stream power, W/m² (per metre of channel width)
  • wchannel width, m
Example 1: stream power

A foothill river has a discharge of 100 m³/s, a slope of 1 m per km and a channel width of 40 m. Find Ω and ω.

Show solution
S = 1 / 1000 = 0.001.
Ω = 1000 × 9.81 × 100 × 0.001 = 981 W/m (≈ 1 kW for every metre of channel).
ω = 981 / 40 ≈ 24.5 W/m².
Unit check: kg/m³ · m/s² · m³/s = kg·m/s³ = (kg·m²/s³)/m = W/m ✓.

Besides rivers, gravity (landslides, rockfalls, mudflows), glaciers (U-shaped valleys, moraines), wind (barchan dunes, deflation) and sea waves (cliff erosion, beaches) also shape relief. Mudflows on the southern slope of the Greater Caucasus and the mud volcanoes of Absheron and Gobustan are characteristic features of Azerbaijan's relief.

Isostasy and landform evolution

The crust “floats” on the denser, slowly flowing mantle. In the Airy model, a mountain has a root sinking into the mantle. At the depth of compensation the pressure must be the same everywhere: under the mountain it is ρc·(h + T + r)·g, and under the plain ρc·T·g + ρm·r·g (T is the normal crustal thickness). Setting them equal gives ρc·h = (ρm − ρc)·r.

r = h · ρc / (ρm − ρc)r = h · ρc / (ρm − ρc)
where:
  • rdepth of the mountain root (below normal crust), km
  • hheight of the relief (above the surrounding plain), km
  • ρccrust density ≈ 2800 kg/m³
  • ρmmantle density ≈ 3300 kg/m³

Airy isostasy: with these densities r ≈ 5.6 · h.

Example 2: a mountain's root

A plateau stands on average 4 km above the surrounding plains. Normal crust is 35 km thick. Find the depth of the isostatic root and the total crustal thickness under the plateau.

Show solution
r = 4 × 2800 / (3300 − 2800) = 4 × 5.6 = 22.4 km.
Total thickness: 4 + 35 + 22.4 ≈ 61 km.
Seismology confirms that the crust under high mountains is roughly twice as thick as normal.

Isostasy also slows denudation: when a thickness e of rock is eroded, the crust becomes lighter and rises by about e·ρc/ρm. So the surface is lowered by only Δz = e·(1 − ρc/ρm) ≈ 0.15·e — to reduce mean elevation by 1 km, about 6.6 km of rock must be removed. That is why old mountains such as the Urals still exist after hundreds of millions of years.

Example 3: when does a mountain range “disappear”?

A mountain range stands on average 2 km above its surroundings; uplift has stopped and denudation runs at a constant 0.2 mm/year. Estimate the time to level the relief a) without isostasy and b) with isostasy.

Show solution
a) 2 km = 2,000,000 mm; t = 2,000,000 / 0.2 = 10 million years.
b) Thickness to erode: e = 2 / (1 − 2800/3300) = 2 / 0.152 ≈ 13.2 km.
t = 13,200,000 mm / 0.2 ≈ 66 million years — about 6.6 times longer.
(In reality denudation slows as relief gets lower, so it takes even longer.)

The first general theory of landform evolution was put forward by W. M. Davis in 1899: after uplift, relief passes through “youth”, “maturity” and “old age” and ends as an almost flat surface, a peneplain. Later researchers proposed parallel slope retreat and the idea of dynamic equilibrium (J. Hack, 1960): when uplift and erosion are equal, the shape of the landscape stays the same for a long time. Modern geomorphology studies these processes with erosion rates measured by cosmogenic isotopes and with computer models.

Key points

  • Endogenous processes (internal heat) build relief and exogenous ones (Sun and gravity) level it: dz/dt = U − E.
  • Weathering breaks rock in place; erosion carries it away. Chemical weathering is strongest in hot, humid climates, frost weathering in cold, wet ones.
  • Stream power Ω = ρgQS; specific stream power ω = Ω / w.
  • Airy isostasy: r = h·ρc/(ρm − ρc) ≈ 5.6·h; isostatic rebound slows the lowering of relief about 6.6-fold.
  • Davis's cycle of erosion (1899) and dynamic equilibrium (Hack, 1960) are two classic models of landform evolution.

Check yourself

10 questions. Every correct answer earns XP.

1 / 10
Which of these is an endogenous process?