# Modeling the effects of silica deposition and fault rupture on natural geothermal systems

- **Authors:** D. E. Dempsey; J. V. Rowland; G. A. Zyvoloski; R. A. Archer
- **Journal:** Journal of Geophysical Research: Solid Earth, vol. 117(B5), article 2012JB009218 (2012)
- **Publisher:** American Geophysical Union (AGU)
- **DOI (version of record):** [https://doi.org/10.1029/2012jb009218](https://doi.org/10.1029/2012jb009218)
- **This page:** https://ddempsey.github.io/papers/2012-dempsey-modeling-effects-silica-deposition-fault/
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- **Full text (Markdown):** [https://ddempsey.github.io/papers/2012-dempsey-modeling-effects-silica-deposition-fault/fulltext.md](https://ddempsey.github.io/papers/2012-dempsey-modeling-effects-silica-deposition-fault/fulltext.md)
- **Notice:** Published version, posted under AGU's author self-archiving policy. © 2012 American Geophysical Union. All Rights Reserved. Version of record: https://doi.org/10.1029/2012jb009218
- **Also in:** UC Research Repository, https://hdl.handle.net/10092/107327
- **Explainer:** all explainers on this site are AI-generated.
- **BibTeX:** https://ddempsey.github.io/papers/2012-dempsey-modeling-effects-silica-deposition-fault/citation.bib
- **Topics:** Volcanoes & eruption forecasting; Induced seismicity & faults; Geothermal systems
- **Keywords:** Geothermal gradient; Geology; Petrology; Plume; Volcano; Hydrothermal circulation; Dissolution; Geomorphology

## In brief

We modelled a geothermal field in New Zealand's Taupō Volcanic Zone where cooling water deposits silica. Over 120,000 years, a low-permeability layer about 200 m thick formed at the surface. It diverted water sideways and warmed the reservoir. A fault rupturing the layer took at least 10,000 years to reseal.

- We coupled a model of heat and water flow in a geothermal field to silica deposition, so that rock porosity and permeability changed as silica filled the pores.
- After 120,000 years, a cap 1 to 2 km across and up to about 200 m thick had formed at the surface above the rising hot water.
- The cap reduced field heat output from 120 to 80 MW, more than tripled the field's area, and raised the heat stored in the reservoir by about 20%.
- In a second model, fault rupture through the cap raised heat output from 75 to 125 MW, but output returned to 75 MW within 1,000 to 2,000 years.
- Because the Paeroa Fault at Te Kopia ruptures about every 1,000 to 2,000 years, renewed flow along the fault may be the usual state of that field.

## The problem

Hot water rises at more than 20 geothermal fields in New Zealand's Taupō
Volcanic Zone (TVZ) (Bibby et al., 1995). As the water cools in porous
volcanic deposits near the surface, its capacity to hold dissolved silica
falls. The excess silica precipitates as quartz in the pore space. This
reduces the permeability of the rock. Sealing can change how much heat a field
stores at depth and where its heat reaches the surface. Both are relevant to
geothermal energy and to exploration for fields with little surface activity.

Our goal in this study was to quantify how silica deposition changes the flow
of heat and water through a geothermal field. Geothermal activity in the TVZ
also correlates with faulting (Wood, 1992; Wood et al., 2001). So we modelled
an earthquake rupturing a fault through rock that silica had already sealed.

## What we did

We used FEHM (Zyvoloski, 2007), a computer code that simulates the flow of
heat and water through rock, to model a block of crust 15 km square and 8 km
deep, heated from below. After 300,000 simulated years, a single plume of hot
water rose through the centre. The geothermal field above it had a heat output
of 120 MW and an area of 1.4 km². We defined the field as the area where heat
flow from the ground exceeds 1 W/m², over 14 times the continental average
(Chapman, 1986).

We assumed the water everywhere holds the maximum amount of silica it can at
its temperature. The rate of deposition or dissolution then depends on the
flow rate, the temperature gradient, and the angle between them. Deposition is
fastest when water flows straight towards cooler rock, and falls to zero when
flow is at right angles to the temperature gradient. Water flowing towards
hotter rock dissolves silica instead.

<div class="widget" id="w-silica-angle" role="group" aria-label="Interactive diagram of how the angle between water flow and the temperature gradient sets whether silica precipitates or dissolves, and how porosity loss reduces permeability"></div>

We converted the silica deposited into a loss of porosity, and then into a
loss of permeability. In the volcanic deposits, we assumed that permeability
varies with the cube of porosity (Zhang et al., 1994). A fall in porosity from
20% to 2% then lowers permeability a thousandfold. However, we did not allow
permeability to fall below 10⁻¹⁶ m². This limit is intended to represent the
permeability that faulting and fracturing maintain in the TVZ.

In a second model, we ruptured a vertical fault through the centre of the
sealed field. The rupture reset permeability on the fault to its original
values.

## What we found

Silica deposition was fastest at the surface above the plume. This is because
temperature gradients and flow rates are largest there, where hot rising water
meets the cool atmosphere. After 120,000 years, a circular low-permeability
cap 1 to 2 km across and up to about 200 m thick had formed. This process is
known as self-sealing (Facca and Tonani, 1967).

The cap reduced the field's heat output from 120 to 80 MW within several
thousand years. Hot water from depth continued to arrive and was deflected
sideways beneath the cap. The field area more than tripled. Beneath the cap,
the heat stored in the top 2 km increased by about 20%. In our model, sealing
improved the field as an energy resource. However, conduction through a thick
cap can also cool the centre of a field and leave little surface sign of the
hot reservoir beneath.

Before rupture, the field in the fault model had an output of 75 MW, below the
80 MW of the first model. This is probably because the fault model used a
finer grid near the surface and along the fault. In our tests, finer grids
sealed the field more completely and lowered its heat output. Rupture raised
permeability on the fault at the surface a thousandfold, from 10⁻¹⁶ to 10⁻¹³
m², and field output rose to 125 MW. However, the line where the fault meets
the surface is also where silica deposits fastest. Output returned to its
pre-rupture value within 1,000 to 2,000 years, and the near-surface fault was
resealed over 10,000 years.

At the extinct Ohakuri field, quartz was deposited to at least 150 m depth
(Henneberger and Browne, 1988), comparable to our modelled cap. Henneberger
and Browne (1988) proposed that activity there ended because of changes at
depth. Our results are consistent with this, because in our model the cap left
the supply of hot water from depth largely unchanged.

The Te Kopia field is located on the active Paeroa Fault, which slips at about
1.5 mm per year (Villamor and Berryman, 2001). If each earthquake produces 2
to 3 m of slip, this implies a rupture every 1,000 to 2,000 years. The present
pattern of activity at Te Kopia has probably formed over many ruptures.
Renewed flow along the fault may be the usual state of this field.

## Limitations

Our assumption that water always holds its maximum silica overestimates
deposition where flow is fast, such as in a newly ruptured fault (Martin and
Lowell, 2000). The 10,000-year resealing is therefore a minimum. The model
also omits boiling, the fracturing caused by fluid pressure, and dissolved
salts. Sealing rates in our model depend in part on grid resolution.

Natural geothermal fields also change through their deep fluid pathways, fluid
chemistry, heat sources, and repeated faulting. We therefore caution against
reading a model of one process as a complete history of any one field.
Simulations with repeated fault ruptures and variable permeability may give
further insight into circulation at Te Kopia.

## Glossary

The **Taupō Volcanic Zone (TVZ)** is the region of active volcanism and
geothermal activity in New Zealand's central North Island.

**Porosity** is the fraction of a rock's volume that is open pore space.

**Permeability** is a measure of how easily fluid flows through a rock, in
square metres (m²).

**Silica** is silicon dioxide, which dissolves in hot water and precipitates
as quartz when the water cools.

The **temperature gradient** is the rate at which temperature changes with
distance, pointing towards hotter rock.

A **plume** is the column of hot, buoyant water rising from depth beneath a
geothermal field.

The **cap** is the layer of low-permeability, silicified rock that forms at
the surface above the plume.

**Self-sealing** is the reduction of a geothermal field's near-surface
permeability by its own mineral deposits.

**Heat flow** is the heat leaving the ground per unit area, in watts per
square metre (W/m²).

**Heat output** is the total heat leaving a field's surface, in megawatts.

A **megawatt (MW)** is a million watts, a unit of power.

A model **grid** divides the rock into cells, and the equations of heat and
water flow are solved for each cell.

**Conduction** is heat transfer through rock without fluid flow.

## Abstract

Natural geothermal convection abounds within the Taupo Volcanic Zone (TVZ) of New Zealand's Central North Island. In many locations the highly porous eruptive products that blanket the landscape have been altered by the throughput of hydrothermal fluids and the consequent deposition of silica. We detail a numerical model that considers the evolution of a geothermal plume in the presence of silica deposition/dissolution that controls an evolving permeability distribution. Precipitation of silica occurs according to a gradient reaction regime, in which the dissolved silica concentration is controlled by the temperature dependent silica solubility. Over a period of 120 kyr, continuous geothermal circulation leads to the development of a low permeability cap‐zone, approximately 200 m thick, above the main geothermal upflow zone. The cap‐zone encourages lateral flow of rising fluids, increasing the area across which geothermal expression is observed. It also has an insulating effect on fluids below the cap, causing increases in temperature, enthalpy, and the reservoir potential of the field. A second model is constructed to consider the specific scenario of fault rupture through the impermeable cap‐zone. Coseismic increases in permeability along the fault plane produce vigorous, renewed flow through the center of the geothermal field, temporarily reducing lateral flows. However, resealing of near surface permeability is rapid, and the restoration of lateral flows and recovery of the geothermal reservoir occurs within ∼10 kyr. These effects are discussed in the context of two TVZ geothermal fields: the extinct Ohakuri field, and Te Kopia, which is situated on a major active normal fault.

## Cite

Dempsey, D. E., Rowland, J. V., Zyvoloski, G. A., Archer, R. A. (2012). Modeling the effects of silica deposition and fault rupture on natural geothermal systems. Journal of Geophysical Research: Solid Earth, 117(B5), 2012JB009218. https://doi.org/10.1029/2012jb009218

```bibtex
@article{dempsey2012modeling,
  title = {Modeling the effects of silica deposition and fault rupture on natural geothermal systems},
  author = {Dempsey, D. E. and Rowland, J. V. and Zyvoloski, G. A. and Archer, R. A.},
  journal = {Journal of Geophysical Research: Solid Earth},
  year = {2012},
  volume = {117},
  number = {B5},
  pages = {2012JB009218},
  publisher = {American Geophysical Union (AGU)},
  doi = {10.1029/2012jb009218},
  url = {https://ddempsey.github.io/papers/2012-dempsey-modeling-effects-silica-deposition-fault/}
}
```