Formula & Calculator

Porosity

Measures the percentage of a rock or soil's total volume that consists of open pore space, which can potentially hold water.

GeologyHydrogeologyRock Properties

Porosity Calculatorn = (Vv / Vt) × 100

n = (Vv / Vt) × 100
n = porosity (%)  ·  Vv = void volume  ·  Vt = total volume
⟹ Solven, Vv, Vt
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n = (Vv / Vt) × 100  ·  All volumes must use consistent units

Interpretation

n = (Vv / Vt) × 100. Porosity is the percentage of void space in a rock or soil. Used to estimate groundwater storage and contaminant transport capacity.

n = (Vv / Vt) * 100
Porosity

Variables

SymbolQuantityUnit
nPorosity%
VvVolume of void (pore) spacem3
VtTotal volume of the samplem3

What it means

Porosity is the fraction of the total volume of a material that is occupied by void spaces (pores). It is expressed as a percentage. It is a fundamental property of soils and rocks that controls their ability to hold and transmit fluids. It is used in hydrogeology to estimate water storage capacity, in petroleum engineering for oil and gas reserves, and in soil science for plant‑available water. Porosity can be determined from core samples or from well logs. Understanding porosity is essential for evaluating groundwater resources and for designing water supply systems.

Worked example

Porosity – Two Detailed Examples

Real‑World
Scenario: A geotechnical engineer analyses a soil sample with void volume Vv = 30 cm³ and total volume Vt = 100 cm³. The porosity n = (Vv / Vt) × 100 = (30/100) × 100 = 30%. This high porosity indicates a sandy soil with good drainage and storage capacity, suitable for foundation work or groundwater recharge. The engineer uses this data to design drainage systems.
ParameterValue
Void Volume (Vv)30
Total Volume (Vt)100
1n = (30 / 100) × 100 = 30%
Result 30% ✓ Porosity
Scenario: A core sample from a shale formation has void volume 15 cm³ and total volume 100 cm³. The porosity is n = (15/100) × 100 = 15%. This low porosity indicates a compacted, fine‑grained material with poor permeability, which is typical of cap rocks in petroleum reservoirs. The petroleum engineer uses this data to evaluate the sealing capacity of the formation.
ParameterValue
Vv15
Vt100
1n = 15 / 100 × 100 = 15%
Result 15% ✓ Low porosity
Insight: Porosity is the fraction of void space in a rock or soil. High porosity is common in sands and gravels, while low porosity is typical of clays and shales. Porosity influences the storage and movement of fluids.

Common mistakes

  • Porosity n: n = (V_v / V_t) × 100 – the fraction of void space in a rock or sediment.
  • V_v: Volume of voids (pores) – not the volume of water.
  • V_t: Total volume of the sample.
  • Effective porosity: The interconnected pores available for fluid flow – may be less than total porosity.
  • Units: Expressed as a percentage – or decimal.

Applications

Porosity, n = (Vv/Vt)×100, is the percentage of void space in a rock or soil, determining its water‑holding capacity and permeability. This is a fundamental property in hydrogeology, petroleum engineering, and soil science. Geologists use porosity to evaluate reservoir quality, to assess groundwater storage, and to understand fluid movement. By measuring porosity, engineers can estimate the amount of oil, gas, or water that a formation can contain. Porosity also affects the strength and compressibility of geological materials. Understanding porosity is essential for resource evaluation, geotechnical engineering, and environmental studies.

  • Reservoir characterisation for oil and gas exploration
  • Groundwater storage assessment and aquifer evaluation
  • Soil science – water retention and plant‑available water
  • Geotechnical engineering – strength and deformation properties
  • Environmental remediation – contaminant distribution and migration

Frequently Asked Questions

Q01What is porosity and how is it calculated?
A01

n = (V_v / V_t) × 100, where V_v is the volume of voids (pores) and V_t is the total volume of the rock or soil. Porosity is expressed as a percentage and represents the fraction of open space in the material.

Q02What is the typical porosity of different earth materials?
A02

  • Clay: 40–60% (high, but mostly micropores).
  • Silt: 30–50%.
  • Sand: 25–40%.
  • Gravel: 20–35%.
  • Sandstone: 5–30%.
  • Limestone: 5–20% (fracture and matrix).

Q03What is the difference between primary and secondary porosity?
A03

Primary porosity is the original pore space formed during deposition (e.g., between sediment grains). Secondary porosity develops later due to fracturing, dissolution, or weathering.

Q04Does high porosity always mean high permeability?
A04

No. Permeability depends on pore connectivity, not just total pore volume. Clay has high porosity but low permeability because pores are isolated and very small (capillary forces).

Q05How is porosity measured in the laboratory?
A05

Common methods: gravimetric (saturate and weigh), mercury injection (for small pores), gas expansion (helium pycnometry), and image analysis (thin sections).

Q06What is the relationship between porosity and density?
A06

Bulk density = solid density × (1 − n). As porosity increases, bulk density decreases. This is used in geophysics (e.g., neutron porosity logs).

Q07How does compaction affect porosity?
A07

As sediments are buried, compaction reduces porosity by reorienting grains and expelling water. In sandstones, porosity can decrease from ~40% to 10–20% with depth.

Q08What is effective porosity?
A08

Effective porosity is the portion of the total porosity that is interconnected and can transmit fluids. It is the relevant porosity for flow and storage.

Q09How does porosity affect seismic velocity?
A09

Higher porosity generally lowers seismic velocity (especially V_p) because pores are weak zones. This is used in seismic reservoir characterization.

Q10What is the role of porosity in groundwater storage?
A10

Porosity determines the maximum amount of water that can be stored. However, the usable storage is limited by specific yield (in unconfined aquifers) or storativity (in confined aquifers).