part 3 first order regional seismotectonic model for south

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3-1 PART 3 First Order Regional Seismotectonic Model for South Africa Introduction The seismic hazard and risk associated with potential sites of engineering structures (such as dams and power stations) are derived from a seismotectonic model for the region. Terrier et al. (2000) define seismotectonic analysis as the analysis of structural, neotectonic and seismological data to establish links between seismicity and current deformation mechanisms, and their effects on certain tectonic structures, with the ultimate goal of delimiting and characterising various seismotectonic units. Seismotectonic units correspond to tectonic structures like faults, or to geological and structural bodies of uniform seismicity. The seismotectonic model, otherwise known as a seismotectonic map, will consist of a presentation of all the seismotectonic units identified for the region of interest. An ideal delineation of seismotectonic units requires a complete comprehension of the geology, tectonics, palaeoseismology, historical and instrumental seismicity, and other neotectonic features and phenomena. However, information is incomplete in many parts of the world. To date there is no published seismotectonic model for South Africa. General procedures for regional seismotectonic mapping for engineering purposes are described by Gonzalez and Skipp (1980). Furthermore, no standard procedure has been established by the scientific community to produce a seismotectonic model. Different researchers have used different parameters to perform seismotectonic investigations. This could be due to the wide variety of geological settings, basic assumptions and philosophical approaches (e.g., Gasperini et al. (1998) defined seismotectonic units from historical felt-earthquake reports for the central and southern Apennines in Italy. Mohanty and Walling (2008) used a GIS

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Page 1: PART 3 First Order Regional Seismotectonic Model for South

3-1

PART 3

First Order Regional Seismotectonic Model

for South Africa

Introduction

The seismic hazard and risk associated with potential sites of engineering

structures (such as dams and power stations) are derived from a

seismotectonic model for the region. Terrier et al. (2000) define

seismotectonic analysis as the analysis of structural, neotectonic and

seismological data to establish links between seismicity and current

deformation mechanisms, and their effects on certain tectonic structures,

with the ultimate goal of delimiting and characterising various

seismotectonic units. Seismotectonic units correspond to tectonic

structures like faults, or to geological and structural bodies of uniform

seismicity. The seismotectonic model, otherwise known as a

seismotectonic map, will consist of a presentation of all the seismotectonic

units identified for the region of interest. An ideal delineation of

seismotectonic units requires a complete comprehension of the geology,

tectonics, palaeoseismology, historical and instrumental seismicity, and

other neotectonic features and phenomena. However, information is

incomplete in many parts of the world.

To date there is no published seismotectonic model for South Africa.

General procedures for regional seismotectonic mapping for engineering

purposes are described by Gonzalez and Skipp (1980). Furthermore, no

standard procedure has been established by the scientific community to

produce a seismotectonic model. Different researchers have used different

parameters to perform seismotectonic investigations. This could be due to

the wide variety of geological settings, basic assumptions and

philosophical approaches (e.g., Gasperini et al. (1998) defined

seismotectonic units from historical felt-earthquake reports for the central

and southern Apennines in Italy. Mohanty and Walling (2008) used a GIS

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3-2

platform for seismic microzonation of Haldia in the Bengal Basin (India),

Meletti et al. (2000) used GIS to cross-correlate several datasets to

construct a seismotectonic model for Italy. Hicks et al. (2000) studied

seismotectonic zonation using detailed seismic monitoring data and fault

planes solutions for Norway.)

As a first step towards the creation of a seismotectonic model for South

Africa, Singh et al. (2009) compiled a multidisciplinary geoscientific

database. They identified many useful data sets, but found that further

seismic monitoring, geological mapping and integrated analysis was

required to build an entirely data-driven seismotectonic model. The

following recommendations were made by Singh et al. (2009):

a) A denser network of seismic monitoring stations is required in order

to improve location accuracy of recorded earthquakes;

b) The earthquake database should be revisited in order to distinguish

earthquakes of natural origin from those that are mining related;

c) Depths and focal mechanisms of earthquakes should be recorded

and routinely published;

d) Microseismic monitoring should be undertaken of active regions like

the Ceres and Koffiefontein areas and active fault regions in the

Cape Fold Belt (CFB).

e) Quaternary sediments should be mapped in more detail; and

f) Evidence of palaeoseismicity and neotectonic activity should be

documented.

Noting these shortcomings, an attempt is made here to build a first order

regional seismotectonic model using the available information.

Of the many methodologies implemented elsewhere in the world, the one

of Terrier et al. (2000) used in France was found to be most appropriate

for South Africa, as it allowed one to use an integrated approach by using

all available information in a series of logical steps.

The seismotectonic model derived for stable continental regions often

does not explain all the observed earthquake activity. This is because

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structures may exist without recognized surface or subsurface

manifestations, and, in some cases, fault displacements may have long

recurrence intervals with respect to seismological observation periods.

Although attempts should be made to define all the parameters of each

element in a seismotectonic model, the construction of the model should

be data-driven, and any tendency to interpret data only in a manner that

supports some preconception should be avoided (IAEA, 2002, p. 10,

paragraph 4.3). One of the main advantages of the methodology used for

France (Terrier et al. 2000) is that it is a structured approach and is highly

data-driven.

Methodology

The methodology for the seismotectonic analysis as presented by Terrier

et al. (2000) encompasses four stages:

1. Data collection,

2. Data quality assessment,

3. Data assimilation, interpretation and construction of seismotectonic

schema, and

4. Synthesis and compilation of a seismotectonic model.

Note that in our study an additional stage was added, (data quality

assessment) when compared to the methodology proposed by Terrier et

al. (2000) because of the shortcomings of the data noted in the

introduction to this chapter. The flowchart summarising the proposed

methodology is shown in Figure 1. This framework is essential to this

analysis. The South African data was then used intuitively for the analysis.

STAGE 1: Collection and selection of base data

The data sets collected for this stage include:

a) A comprehensive earthquake catalogue of historical and

instrumental events from the Seismology Unit, Council for

Geoscience (CGS),

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b) Isoseismal maps for the country since 1932 (Singh and Hattingh

2008),

c) Regional geological maps,

d) Magnetic and gravimetric data (Geophysics Unit, CGS),

e) Map of the depth to Moho (Nguuri et al., 2001),

f) Tectospheric structure (James et al., 2001),

g) Topographic data, and

h) Stress data (World Stress Map (WSM) database; Reinecker et al.,

2004; Bird et al., 2006).

These data sets are described in detail by Singh et al. (2009).

Shortcomings in the data sets have been noted in the introduction to this

chapter.

The data sets compiled in Stage 1 are used to define structural and

neotectonic domains, and seismic zones. In Stage 2 the usefulness,

importance and completeness of each data set is assessed.

Structural domains are regions that display homogeneous mechanical

behavior and contain major faults or structures. Neotectonic domains are

regions characterized by recent or contemporary tectonic activity. Seismic

zones (or concentrations of earthquake foci (CEF)) are identified by

known historical and instrumental earthquake clusters.

STAGE 2: Assessment of data quality and usefulness

Firstly, the usefulness of various data sets for the definition of structural

domains is described, together with a qualitative assessment by the author

of the importance and completeness of each dataset (Table 1).

Similarly, the usefulness of various data sets for the definition of

neotectonic domains and seismic zones is assessed (Tables 2 and 3,

respectively). The neotectonic information generally falls into two

categories: descriptions of large well-studied faults, and ad-hoc accounts

of reactivated features.

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STAGE 3 Data Assimilation, Interpretation and Construction of

Schema

A structured approach is followed in creating the seismotectonic schema

which is a schematic plan consisting of a combination of structural and

neotectonic domains, and seismic zones. Specific data sets contributing to

each classification are highlighted in Tables 1, 2 and 3. From this stage

onwards, some interpretation is required. Hence interpretations vary

depending on the experience and background knowledge of the analyst.

1. Structural domains

Here we seek to integrate various data sets to define structural domains

Geological and geophysical provinces

The major geological provinces are outlined in Figure 2. The major

geological provinces include the Kaapvaal craton (KC) of Archean age.

Some authors (e.g. Eglington and Armstrong, 2004) have further divided

this province based on the age of lithologies (up to 3 Ga). For our

purposes we are interested in changes in tectonic environments and opted

to present this craton as one large province. The Limpopo belt separates

the KC from the Zimbabwe craton (ZC), which is of similar age and

composition. The oblique nature of this collision is believed to have

initiated or re-activated major transcurrent fault systems, resulting in

important structures such as the Thabazimbi-Murchison lineament. Rift-

related basins like the Witwatersrand Basin developed within the KC. The

Bushveld Complex intruded the KC about 2,000 million years ago.

Tectonic activity on the KC ceased about 1,800 million years ago.

Proterozoic fold and thrust belts up to 400 km wide were added to the KC

on the south (Namaqua-Natal mobile belt, NNMB). The Kheis province

(Cornell et al. 1996), which consists of a passive margin of siliciclastic

rocks of the Olifantshoek Supergroup (2-1.7 Ga), separates rocks from the

western part of the NNMB from the KC.

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The rocks in the Cape fold belt (CFB) were laid down as sediments in a

coastal delta environment upon the Malmesbury unconformity in the

Ordovician (450 million years ago) period, with the folding subsequently

occurring in the Carboniferous and Permian periods during the merging of

the supercontinent Pangaea.

The Karoo Supergroup is the largest geological feature in southern Africa,

covering almost two thirds of the present land surface. However, it is

relatively thin. Its strata, mostly shales and sandstones, record an almost

continuous sequence of marine, glacial and terrestrial deposition from the

Late Carboniferous to the Early Jurassic, a period of about 100 million

years. Extensive basic and acid lavas of the Lebombo and Drakensberg

groups cap the Karoo Supergroup, and their extrusion preceded the

fragmentation of Gondwana. South Africa began breaking away from

Australia in the northeast around 200 million years ago. This breakup

proceeded southward and then westward until the proto-Atlantic was

formed about 120 million years ago. This was accompanied and followed

by widespread anorogenic alkaline magmatism of the kimberlitic,

carbonatitic, and ring-complex types (Wilson 2005). Geologically younger

deposits, ranging in age from Cretaceous to recent times, include the

Kalahari group sediments; coastal, shallow marine and lagoonal

sediments; and present and ancient river terraces (Schlüter 2006).

The boundaries of the provinces are often clearly revealed in the

geophysical maps. The major geophysical anomalies such as the Beattie

Magnetic Anomaly and the Southern Cape Conductivity Belt are also

illustrated (Figure 3).

Mantle Seismic Structure

The mantle seismic structure beneath the Kaapval Craton (KC) was

studied by Fouch et al. (2004). It was found that seismic images provide

clear evidence of mantle structures that mimic the surface geology across

the craton. Specifically, a thick (~250-300 km) mantle keel exists beneath

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the KC and a slightly thinner keel (~225-250km) exists beneath parts of

the Limpopo mobile belt. Relatively lower mantle velocities are observed

beneath the Bushveld Complex.

Crustal Structure

Nguuri et al. (2001) found that the Limpopo Belt is characterised by a thick

crust and complex Moho, while the crust beneath the KC is typically thin

(~35-40 km), unlayered and characterised by a strong velocity contrast

across a relatively sharp Moho. Across post-Archaean terrains such as the

Bushveld Complex and the Namaqua Natal Mobile belt (NNMB), the crust

tends to be relatively thick (~45-50 km) and the Moho is complex.

Topography and Drainage

Generally the country can be divided into two basic drainage systems: the

Orange River as one system, and all the other rivers comprising the other.

These two systems are divided by the Great Escarpment. The Orange

River drains from the interior of the country to the west. All the other rivers

drain from the coastal side of the escarpment to the ocean in western,

southern and eastern directions. In the north, the tributaries of the

Limpopo/Olifants River form a watershed on the Witwatersrand. It is worth

noting that regional seismicity, to a large extent, correlates well with the

location of the Great Escarpment. This is evident in the northwest, along

the Lesotho mountain ranges, and the northeast. Some of the largest

earthquakes for which macroseismic data are available occurred along

this escarpment.

Discussion

Based on the above datasets, clearly, the pre-Karoo geological provinces

form the main structural domains of the country. The other prominent

structure is the Great Escarpment.

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2. Concentrations of Earthquake Foci (CEF)

Eighteen earthquake clusters were intuitively identified (Figure 4, refer to

Table 6 for names of clusters and brief description of possible source).

The best known clusters are described in Singh et al. (2009). Along the

east coast, at least 10 isoseismal maps collected in Singh and Hattingh

(2008) clearly show a high density of large magnitude earthquakes in

these regions, hence linear clusters 4, 5, 15 and 14 were created.

3. Neotectonic domains

Classification

Neotectonic faults (F) were classified (see Table 4) using a scheme similar

to Terrier et al. (2000):

AF are seismogenic faults with a strong correlation with seismic

epicenters.

BF are seismogenic faults with possible associated seismicity as

seismic epicenters are known near the faults, but the precision of

their locations does not guarantee a reliable link.

CF are tectonically active faults without known seismicity as no

seismic epicenters are correlated with them, but with indicators of

recent tectonic activity.

DF are tectonic faults with possible associated seismicity as seismic

epicenters are known along the faults (similar to BF), and some

neotectonic indicators.

Neotectonic and seismogenic regions (N) were also classified (see Table

5) using a scheme similar to Terrier et al. (2000):

• AN are seismogenic and neotectonic regions that have a strong

correlation with seismic epicenters.

• BN are neotectonic regions with possible associated seismicity as

seismic epicenters are known in the regions, but the precision of

the locations does not guarantee a reliable link

• CN are neotectonic regions without known seismicity, but with

indicators of recent tectonic activity.

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The classified neotectonic faults and regions were digitised (Figure 6), and

neotectonic domains defined (Figure 7). Each neotectonic sub-domain

delineates the fault/region and extends this region to about 50 km in all

directions in order to include those earthquakes that are possibly mis-

located.

Stress and Seismic Wave Anisotropy

Tectonic stress indicators are used to determine the tectonic stress

orientation. A sparse dataset of such indicators is available for South

Africa through the World Stress Map (WSM) database (Reinecker et al.,

2004) and a database created by Bird et al. (2006). Data points derived

from earthquake focal mechanisms and in situ stress measurements

(overcoring), geological fault-slip observations (GFS) and borehole

breakout orientation (BO) were accumulated. A detailed description of the

different methodologies used can be found in Zoback and Zoback (1991)

and Sperner et al. (2003). These data are plotted in Figure 5,

superimposed on CEF clusters. Only broad trends in the data can be

observed owing to the sparse number of data points. Earthquakes forming

Clusters 2 and 3 have strike-slip regimes while earthquakes in Cluster 8

show normal faulting. Other earthquakes towards the north have normal

faulting regimes. The orientation of the maximum horizontal stress (SH)

varies from the north to the south. In the north, SH directions are NW-SE,

corresponding to similar orientations of the Wegener Stress Anomaly

(WSA). Stress indicators from earthquakes in the Koffiefontein region

(Cluster 8) have a NW-SE SH orientation with a normal faulting regime.

The earthquake of 01 July 1976 was used for this measurement. For the

data points in the south, the earthquakes of 2 September 1969 and 14

April 1970 were used.

Additional data included in Figure 5 are the shear wave splitting data from

Silver et al. (2004). In an anisotropic medium the elastic parameters vary

as a function of orientation. Seismic anisotropy occurs when some elastic

waves vibrating or travelling in one direction travel faster than other waves

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vibrating or travelling in another direction. This causes the waves to

separate in orthogonal directions (shear wave splitting). Materials develop

anisotropic properties because of the preferred ordering of minerals or

defects, i.e. fractures or cracks. Anisotropy is linked to minerals, kerogen,

fractures and stresses. The polarisation direction of the fast wave (phi) can

be measured and the delay time between the fast and slow waves (dt)

gives us information about the magnitude of anisotropy. The values of phi

exhibit systematic spatial variations. In the southwestern KC they are

roughly NNE-SSW and rotate to NE-SW further north and to nearly E-W in

the northeastern part of the craton. Further south, in the NNMB,

polarisation of waves varies from NW-SE to E-W. This anisotropic

signature implies a pattern of ancient mantle lithospheric deformation

beneath South Africa. Silver et al. (2004) observed that the anisotropic

signature is delimited by the Colesburg Magnetic lineament towards the

southwest of the craton, by the Thabazimbi Murchison Lineament (TML) in

the north, and the Triangle Shear Zone in the Limpopo Belt. The delay

time falls mainly in the range of 0.6-2 s. There is clearly strong anisotropy

towards the NW of the craton compared to weaker anisotropy towards the

SW. Silver et al. (2004) indicate that these differences are due to

differences in lithospheric mantle fabric. The eastern part of the craton is

devoid of rifting and magmatic events seen elsewhere in the craton and

hence the lithosphere here is mechanically stronger than surrounding

areas.

STAGE 4 Interpretation and Synthesis: Seismotectonic Zonation

Based on the knowledge gained from the analysis so far, as well as the

data availability and applicability, it was decided that it was best to use the

categories proposed by Davis (2002) for seismotectonic zonation. Note

that although Terrier et al (2002) use similar labels to categorize the

seismotectonic units, their definitions of the categories are much more

rigorous. In our case the data set is incomplete in several aspects,

therefore the more flexible definitions provided by Davis (2002) is more

applicable.

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Three general types of seismotectonic units are defined by Davis (2002):

(i) SEISMOGENIC STRUCTURES - units that model active faults,

(ii) SEISMOGENIC SYSTEMS - units that model “active” structures

that may contain significant faults (i.e. active fold belts), and

(iii) SEISMOGENIC DOMAINS - units that model distributed

seismicity that cannot be assigned to specific geological

structures.

Consideration was given to the schema obtained in stage 3 and polygons

were created corresponding to major clusters of earthquake foci (CEF)

and neotectonic domains (refer to Figure 7 and Figure 8). The large

structural domains eventually made no contribution to the zonation

because many of the neotectonic domains transect the structural domains.

Probably the outline of the Great Escarpment, to some extent, is

intrinsically included. Only two seismogenic structures were delineated:

the reactivated region of the Kango Baviaanskloof Fault (KBF) and its

linear extension towards the east. The main neotectonic domains form

seismogenic systems. Clusters of Earthquake Foci with no association

with large faults or neotectonic activity form the seismogenic domains. In

Table 7 characteristics of the identified seismogenic structures and

systems are summarized.

The Gutenberg-Richter frequency magnitude relations were assessed

using seismicity within each zone (Figure 9). Where it is assumed that the

number of earthquakes recorded within specified area and time interval

can be described by the Gutenberg-Richter relation

,)(log mbamN ⋅−= (1)

where a is a constant, b refers to the slope of the line, m is the earthquake

magnitude and N the cumulative number of earthquakes occurring

annually within a magnitude interval < m, m +∆ m >, or the number of

earthquakes equal or larger than m. The parameter a is the measure of

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the level of seismicity, whereas the parameter b, which is typically close to

1, describes the ratio between small and large events.

The software package Zmap (Wiemer 2001) was used for this purpose

(assuming the maximum curvature method to evaluate mmin (the threshold

of completeness of the sub-catalogue) and the maximum likelihood

method to assess b). The parameters obtained for each zone are listed in

Table 8. Note that no solution could be obtained for zones 1, 3, 4, 6 and

19 due to insufficient seismicity data within each zone. Proper assessment

of these parameters including use of different techniques; assessment of

mmax (the largest possible magnitude within each zone) and mmin is

described in Part 4 of this thesis.

The Welkom (zone 10); Klerksdorp (zone 11) and Carletonville-West Rand

(zone 12) mining regions clearly have relatively higher levels of seismic

activity than other zones. b-values for zone 10 and 12 are similar (1.1 and

1.2) with zone 12 displaying higher levels of seismic activity. Zone 11 has

a somewhat lower b-value (0.99) but very high levels of activity. Clearly

this is reminiscent of differences in mining activity in the different regions

and different tectonic features affecting the mining environments.

The Ceres zone (zone 2) has much lower b-values (0.63) but considerable

levels of seismic activity. These levels of activity exceed that of the

Koffiefontein zone (zone 8) with a similar b-value (0.56). Zone 5 (which

can be found along the east coast) shows considerable levels of activity

with a much higher b-value (1.08). The seismicity trends in zone 15 are

very similar to that of the Koffiefontein zone (zone 8). The Lesotho cluster

(zone 7 and 9) shows relatively lower levels of activity with b-value of 0.8

and 0.68 respectively which is somewhat different from all the other zones.

Zone 14, corresponding to the Griqualand-Transvaal Axis (GTA) has the

lowest levels of seismic activity. Similarly, relatively lower levels of seismic

activity occur in zones 13 and 16-18.

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Results and Discussions

This work serves as a starting point for the development of the

geoscientific database and seismotectonic model. Clearly, the structural

domains are not critical for the zonation because the seismotectonic

model transects the boundaries of the structural domains. The origins of

clusters of earthquake locations around the country are poorly understood

therefore there is a need to understand the geodynamics associated with

the stresses along regions such as the Great Escarpment, the Cape Fold

Belt and the Lesotho mountain ranges. Localised seismotectonic domains

exist in the interior of the country (Koffiefontein, Zone 15, Zone 16) for

which its origin/source is still poorly understood. Seismicity in the mining

regions (Zones 10-13) still forms a major component of the seismic history

in the country. From a crude assessment of the parameters of the

Gutenberg-Richter frequency-magnitude relation, relative levels of seismic

activity and b-values were obtained. Clearly, the highest levels of mining

activity originate in the gold-mining regions. Naturally occurring

earthquakes that have relatively higher levels of seismic activity originate

from the Ceres, Koffiefontein and CSA domains. More detailed

assessment of these parameters will be considered in the next part.

This is a regional model and should not be used as such in seismic hazard

investigations for industrial applications. In these cases all attempts should

be made to complete the database by using a higher resolution.

Seismotectonic model development applying the methodology adopted

here could be appropriate.

Following this study, an ongoing update of the geodatabase will be made.

Future research in this area can include statistical identification of seismic

sources, seismic zonation using historical data, correlation of data using

GIS techniques and appropriate spatial weighting of layers. A broader

study in progress is the Seismotectonic Map of Africa (SeTMA) (Ingram

2008) which should add value to the understanding of seismotectonic

zonation within the region.

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Proj.(Available online at www.world-stress-map.org)

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Tectonics, Economic Geology, Geohazards and Geosites of Each

Country. Berlin: Springer, 272 pps.

Silver PG, Fouch M, Gao S, and Schmitz M (2004), Seismic anisotropy,

mantle fabric, and the magmatic evolution of Precambrian southern

Africa, South African J. Geol., 107, 45-58.

Singh M and Hattingh E (2008), Collection of Isoseismal Maps for South

Africa, Natural Hazards, 50. Pages 403-408

Singh M, Kijko A and Durrheim R (2009), Seismotectonic Models for South

Africa. Synthesis of Geoscientific Information, Problems and Way

Forward, Seismological Research Letters, 80, Pages 65-33

Sperner B, Müller B, Heidbach O, Delvaux D, Reinecker J and Fuchs K,

(2003), Tectonic stress in the Earth's Crust: advances in the World

Stress Map Project. In: D. Nieuwland, Editor, New Insights in

Structural Interpretation and Modelling, Geological Society Special

Publication 212, London, pp. 101–116.

Terrier M, Bl`es1 JL., Godefroy P(†), Dominique M, Bour M and Martin C

(2000), Zonation of Metropolitan France for the application of

earthquake-resistant building regulations to critical facilities Part 1:

Seismotectonic zonation. Journal of Seismology 4: 215–230.

Wiemer, S (2001), A software package to analyse seismicity: ZMAP.

Seismological Research Letters, 3, 373-382.

Wilson, MGC (2005), Simplified Geology, Selected Mines and Mineral

Deposits-South Africa, Lesotho and Swaziland. Council for

Geoscience, Pretoria.

Zoback MD and Zoback ML (1991), Tectonic Stress field of North America

and Relative Plate Motions. In: D.B. Slemmons, E.R. Engdahl, M.D.

Zoback and D.D. Blackwell, Editors, Neotectonics of North America

Decade Map Vol. I, Geological Society of America, Boulder, CO,

pp. 339–366.

Page 17: PART 3 First Order Regional Seismotectonic Model for South

3-17

Acknowledgements

Prof. Artur Cichowicz is thanked for his encouragement and on-going

mentorship. I am grateful to my supervisors, Prof. Durrheim and Prof. Kijko

for providing their support. The Council for Geoscience supplied the base

data. The manager of the Seismology Unit of the Council for Geoscience,

Michelle Grobbelaar, is thanked for her continued support in making this

work possible.

Page 18: PART 3 First Order Regional Seismotectonic Model for South

3-1

8

1 3 4

Co

llectio

n

an

d s

ele

ctio

n

of b

ase

da

ta

Str

ati

gra

ph

y a

nd

ge

olo

gic

al s

tru

ctu

res

Cru

st

po

st-

Pa

leo

zo

ic c

ove

r

Ge

olo

gic

al h

isto

ry

Ge

op

hysic

al fr

am

ew

ork

Ma

ntl

e

Mo

ho

de

pth

Ma

ntle

pro

pe

rtie

s

Ne

ote

cto

nic

s

Re

gio

na

l o

r lo

ca

lise

d d

efo

rma

tio

n

Typ

e a

nd

age

of

defo

rma

tio

n

To

po

gra

ph

y a

nd

dra

ina

ge

Re

cen

t a

nd

co

nte

mp

ora

ry r

eg

ion

al

str

es

s f

ield

s

Fo

ca

l m

ech

an

ism

s o

f e

art

hq

ua

ke

s

In-s

itu

str

ess m

ea

su

rem

en

ts

Seis

mic

ity

Pa

leo

His

tori

ca

l

Instr

um

en

tal

Da

ta a

ssim

ilatio

n,

inte

rpre

tatio

n a

nd

co

nstr

uctio

n o

f th

e

se

ism

ote

cto

nic

sch

em

a

Cla

ssif

ica

tio

n o

f fa

ult

s,

neo

tec

ton

ic a

nd

se

ism

og

en

ic r

eg

ion

s

Fa

ults

AF

se

ism

og

en

ic fa

ults

BF

fa

ults w

ith

po

ssib

le a

sso

cia

ted

se

ism

icity

CF

te

cto

nic

ally

active

fa

ults w

ith

ou

t kno

wn

se

ism

icity

DF

te

cto

nic

fa

ults w

ith

po

ssib

le a

sso

cia

ted

seis

mic

ity

Inte

rpre

tatio

n,

synth

esis

an

d

se

ism

ote

cto

nic

zo

na

tio

n

Se

ism

ote

cto

nic

zo

na

tio

n

to c

rea

te a

seis

mo

tec

ton

ic m

od

el

2D

ata

qua

lity a

sse

ssm

en

t,

da

ta s

ign

ific

an

ce

and

cla

ssific

atio

n

Da

ta I

mp

ort

an

ce

and

Co

mp

lete

ne

ss

Hig

h (

1),

Me

diu

m (

2),

Lo

w (

3)

Ta

bu

late

Da

ta I

nte

ractio

n a

nd

Sig

nific

an

ce

fo

r sch

em

a

Ne

ote

cto

nic

an

d/o

r se

ism

og

en

ic r

egio

ns

AN

str

on

gly

co

rre

late

d w

ith

ep

ice

ntr

es

BN

po

ssib

ly a

sso

cia

ted

with

seis

mic

ity

CN

with

ou

t kn

ow

n s

eis

mic

ity

DN

po

ssib

ly a

sso

cia

ted

with

se

ism

icity

De

fin

e t

hre

e typ

es o

f seis

mo

tecto

nic

zo

ne

s:

1

. S

eis

mo

ge

nic

str

uctu

res -

active f

au

lts

2

. S

eis

mo

ge

nic

syste

ms -

se

ism

ica

ly a

ctive

re

gio

ns t

ha

t m

ay c

on

tain

sig

nific

an

t fa

ults

3

. S

eis

mo

ge

nic

do

main

s -

re

gio

ns o

f d

iffu

se

se

ism

icity t

ha

t ca

nn

ot

be

asso

cia

ted

with

sp

ecific

ge

olo

gic

al str

uctu

res

Th

e s

eis

mo

tecto

nic

mo

de

l is

th

e s

um

of

the

se

ism

ote

cto

nic

zo

ne

s

Fig

ure

1 S

ch

em

atic r

epre

senta

tio

n o

f sta

ge

s in t

he c

rea

tion

of

a r

egio

na

l se

ism

ote

cto

nic

mod

el [a

dapte

d f

rom

Terr

ier

et a

l. (

20

00

)].

Page 19: PART 3 First Order Regional Seismotectonic Model for South

3-1

9

Fig

ure

2 G

eo

log

ica

l pro

vin

ces a

nd

cru

sta

l th

ickness r

esu

lts fro

m N

gu

uri

et a

l. (

20

01).

Page 20: PART 3 First Order Regional Seismotectonic Model for South

3-2

0

Fig

ure

3 L

arg

e s

tru

ctu

ral d

om

ain

s.

Page 21: PART 3 First Order Regional Seismotectonic Model for South

3-2

1

Fig

ure

4 C

EF

sch

em

a c

on

sis

tin

g o

f 1

8 c

luste

rs.

Page 22: PART 3 First Order Regional Seismotectonic Model for South

3-2

2

Fig

ure

5 W

orld

Str

ess M

ap d

ata

and

data

fro

m B

ird (

20

06).

Ea

rthq

ua

kes form

ing

Clu

ste

rs 2

and 3

have

str

ike-s

lip r

eg

ime

s.

Eart

hq

uake

s in C

luste

r 8 s

how

norm

al

fau

ltin

g.

Oth

er

eart

hq

uake

s to

ward

s t

he n

ort

h h

ave n

orm

al fa

ultin

g r

egim

es.

Th

e m

eth

od u

se

d f

or

ca

lcu

lating

str

esses a

re ind

ica

ted

(F

MS

-Fo

cal m

ech

anis

m

so

lution,

OC

-Overc

ori

ng,

BO

-Indiv

idua

l bre

akou

ts, G

FS

- ge

olo

gic

al fa

ult s

lip).

Ori

en

tatio

n o

f sym

bol (r

ed lin

e)

corr

esp

ond

s to t

he m

axim

um

hori

zo

nta

l str

ess

(SH

). S

S:

str

ike-s

lip S

H>

SV

>S

h ;

NF

: n

orm

al fa

ultin

g S

V>

SH

>S

h.

14

1

Page 23: PART 3 First Order Regional Seismotectonic Model for South

3-2

3

Fig

ure

6 C

lassific

atio

n o

f n

eote

cto

nic

fau

lts a

nd

rea

ctivate

d f

ea

ture

s.

Refe

r to

Ta

ble

4 a

nd T

able

5 f

or

sym

bo

l m

ea

nin

gs a

nd fu

ll na

me

s o

f fe

atu

res

Page 24: PART 3 First Order Regional Seismotectonic Model for South

3-2

4

Fig

ure

7 C

lassifie

d n

eo

tecto

nic

dom

ain

s a

nd C

EF

sch

em

a.

The

ne

ote

cto

nic

do

ma

ins (

AN

D-D

ND

) are

in

dic

ate

d a

ccord

ing t

o t

he c

lassific

atio

n s

ch

em

e

imp

lem

ente

d.

Page 25: PART 3 First Order Regional Seismotectonic Model for South

3-2

5

Fig

ure

8 S

eis

mote

cto

nic

mo

de

l fo

r S

ou

th A

fric

a c

om

pri

sin

g o

f se

ism

ote

cto

nic

syste

ms, do

ma

ins a

nd s

tru

ctu

res (

refe

r to

text

for

exp

lanation).

Page 26: PART 3 First Order Regional Seismotectonic Model for South

3-2

6

1.0

0

10.0

0

100.0

0

1000.0

0

10000.0

0

33.5

44.5

55.5

66.5

Mag

nit

ud

e

Cumulative Number

2 5 7 8 9 10

11

12

13

14

15

16

17

18

backgro

und

Fig

ure

9 P

lot

of

Gu

ten

berg

-Ric

hte

r fr

equ

ency

mag

nitud

e r

ela

tio

ns fo

r se

ism

icity w

ithin

ea

ch z

one. N

ote

tha

t no

so

lution

could

be o

bta

ine

d f

or

zo

ne

s 1

, 3,

4,

6 a

nd

19 d

ue t

o insuffic

ient

seis

mic

ity

da

ta w

ith

in e

ach z

one

Page 27: PART 3 First Order Regional Seismotectonic Model for South

3-2

7

Table

1 M

appin

g o

f str

uctu

ral dom

ain

s.

Typ

e o

f d

ata

(S

ou

rce)

Po

ssib

le u

se

Imp

ort

an

ce

Hig

h 1

Med

ium

2

Low

3

Data

co

mp

lete

ne

ss

Hig

h 1

Med

ium

2

Low

3

Geolo

gic

al M

aps

(CG

S)

Shallo

w s

tructu

re

1

1-

exte

nsiv

e m

appin

g

Cru

sta

l th

ickness (

Ng

uuri e

t al. 2

00

1)

Dee

p s

tructu

re

2

2-

data

cove

rag

e f

or

larg

e

regio

n

Subsurf

ace s

tructu

re,

lithosphere

thic

kness (

Fouch e

t al. 2

004

) D

ee

p s

tructu

re

2

2--

data

covera

ge f

or

larg

e

regio

n

Top

ogra

ph

y (

CG

S)

Shallo

w s

tructu

re

2

1-g

ood c

ove

rag

e

Aero

ma

gn

etic M

aps (

CG

S)

Ide

ntificatio

n o

f re

gio

nal a

nom

alie

s a

nd

larg

e s

tructu

ral dom

ain

s

3

1-g

ood c

ove

rag

e

Gra

vim

etr

ic M

aps (

CG

S)

Ide

ntificatio

n o

f re

gio

nal a

nom

alie

s a

nd

larg

e s

tructu

ral dom

ain

s

3

1-g

ood c

ove

rag

e

Page 28: PART 3 First Order Regional Seismotectonic Model for South

3-2

8

Table

2 M

appin

g o

f ne

ote

cto

nic

dom

ain

s.

Typ

e o

f d

ata

Usefu

lne

ss f

or

Fau

lt

Ch

ara

cte

risati

on

Imp

ort

an

ce

Hig

h 1

Med

ium

2

Low

3

Data

co

mp

lete

nes

s

Hig

h 1

Med

ium

2

Low

3

Reactivate

d f

ault s

carp

s

ye

s

1

3 –

spars

e d

ata

set

Regio

ns o

f observ

ed

ne

ote

cto

nic

activity

ye

s

1

3 –

spars

e d

ata

set

The

rmal spri

ngs

ye

s

1

3 –

spars

e d

ata

set

Str

ess in

dic

ato

rs

ma

ybe

1

3 –

spars

e d

ata

set

Seis

mic

anis

otr

op

y (

Silv

er

et

al

20

04)

and D

r M

att

he

w F

ouch

(pers

. com

m.)

)

Not

dir

ectly

2

2—

data

cove

rage f

or

larg

e

regio

n

Axis

of

warp

ing

ye

s

2

3--

inte

rpre

tatio

n

Page 29: PART 3 First Order Regional Seismotectonic Model for South

3-2

9

Table

3 M

appin

g o

f co

ncentr

atio

ns o

f eart

hq

uake f

oci.

Typ

e o

f d

ata

Usefu

lne

ss f

or

Fau

lt

Ch

ara

cte

ris

ati

on

Imp

ort

an

ce

Hig

h 1

Med

ium

2

Low

3

Data

co

mp

lete

ne

ss

Hig

h 1

Me

diu

m 2

Low

3

Eart

hqu

ake c

ata

logu

e

(162

0-2

008)

m

aybe

1

2

Incom

ple

te d

ata

set

Com

pila

tion o

f is

oseis

mal

maps (

Sin

gh a

nd H

att

ing

h

20

08)

ma

ybe

1

1

34 m

aps c

om

pile

d s

ince

19

32

Page 30: PART 3 First Order Regional Seismotectonic Model for South

3-3

0

Table

4 C

lassific

ation o

f N

eote

cto

nic

Evid

ence (

Faults o

nly

) (A

F-s

eis

mogenic

faults,

BF

-neote

cto

nic

faults w

ith p

ossib

le a

ssocia

ted s

eis

mic

ity,

CF

-

tecto

nic

ally

active f

aults w

ithout know

n s

eis

mic

ity,

DF

-tecto

nic

faults w

ith p

ossib

le a

ssocia

ted s

eis

mic

ity,

1-4

is g

iven a

s level of

import

ance to the

model).

Featu

re

Ab

bre

via

tio

n

Des

cri

pti

on

of

evid

en

ce

So

urc

e

Co

rrela

tio

n w

ith

seis

mic

ity/

CE

F z

on

e

Cate

go

ry

Kan

go

Bavia

ansklo

of

Fault

KB

F

Has r

eactivate

d f

ault s

carp

s in s

om

e

pla

ces o

f betw

een 2

- 4

m h

igh

Hill

(19

88)

La

rge p

art

falls

in z

one

3,

som

e p

art

s in z

ones 2

+4

AF

1

Kuis

eb-

Hebro

n F

ault

KH

F

Dis

pla

ced C

en

ozoic

/Qua

rte

nary

se

dim

ent

up t

o 6

5 m

T P

art

rid

ge

(pers

. com

m.)

O

ut

of

regio

n o

f in

tere

st

Rie

tfonte

in

Fault

RF

In G

aute

ng,

the R

ietf

onte

in f

ault s

yste

m

runs f

rom

Edenva

le in t

he e

ast

to b

eyon

d

Kru

gers

dorp

in th

e w

est.

A s

eries o

f

lan

dslid

es a

re f

ou

nd a

lon

g this

fault. T

his

fault s

yste

m m

ay

be t

he s

ourc

e o

f

localis

ed d

istr

ess in b

uild

ings a

nd m

ay

als

o b

e t

he locus o

f lo

w level seis

mic

events

Bark

er

(20

04)

Locate

d in m

inin

g r

egio

n o

f

Ran

d –

zo

ne 1

2

DF

4

Port

Du

nfo

rd-

PD

MO

Z

Late

Ple

isto

ce

ne t

o H

olo

ce

ne f

aults a

re

Andre

oli

Fe

w e

ve

nts

, M

l 6.3

event of

BF

2

Page 31: PART 3 First Order Regional Seismotectonic Model for South

3-3

1

Featu

re

Ab

bre

via

tio

n

Des

cri

pti

on

of

evid

en

ce

So

urc

e

Co

rrela

tio

n w

ith

seis

mic

ity/

CE

F z

on

e

Cate

go

ry

Mo

zam

biq

ue

coasta

l fa

ults

well

exp

osed a

t P

ort

Dunfo

rd n

ea

r

Ric

hard

s B

ay e

xte

ndin

g n

ort

hw

ard

s,

thro

ugh th

e S

t Lucia

Lakes a

nd th

e

nort

hern

Kw

aZ

ulu

Nata

l co

asta

l pla

in into

south

ern

Mo

zam

biq

ue

(199

6)

19

32 o

ccurr

ed in t

his

vic

inity

Tship

ise F

ault

TH

PS

E

Have y

oun

g f

ault s

carp

s r

an

gin

g f

rom

2

m t

o 1

0 m

heig

ht

dis

pla

cin

g a

eolia

n

san

ds

T P

art

rid

ge

(Pers

.

Com

m.)

No s

eis

mic

ity

CF

3

Bosb

okpoo

rt

BB

SB

K

Have y

ou

ng f

ault s

carp

s r

angin

g f

rom

2m

to 1

0 m

heig

ht

dis

pla

cin

g a

eolia

n s

ands

T P

art

rid

ge

(Pers

.

Com

m.)

No s

eis

mic

ity

CF

3

Coeg

a F

ault

CG

A

You

ng F

au

lt

Hatt

ingh a

nd

Goe

dhart

(199

7)

Som

e s

eis

mic

ity,

lo

w s

tatio

n

cove

rage Z

one 4

D

F 4

Tha

bazim

bi-

Murc

his

on

Gre

ensto

ne

Belt

TM

B

Natu

ral seis

mic

ity

associa

ted w

ith t

his

lineam

ent,

conta

ins t

he Z

ebe

die

la F

ault

and T

ha

bazim

bi F

ault –

rela

ted t

o

subsid

ence o

f B

ushve

ld B

asin

by 4

00 m

and h

as a

num

ber

of

the

rmal spri

ngs

Andre

oli

(199

6)

Zon

es 1

7 a

nd 1

8

AF

1

Page 32: PART 3 First Order Regional Seismotectonic Model for South

3-3

2

Table

5 C

lassific

ation o

f N

eote

cto

nic

evid

ence: re

activation o

f fa

ults, th

erm

al springs, altering o

f dra

inage lin

es,

axis

of

warp

ing a

nd s

ubsid

ence

(AN

-seis

mogenic

and n

eote

cto

nic

regio

ns, B

N-n

eote

cto

nic

regio

ns w

ith p

ossib

le a

ssocia

ted s

eis

mic

ity,

CN

-neote

cto

nic

regio

ns w

ithout know

n

seis

mic

ity,

1-4

is g

iven a

s level of

import

ance t

o the m

odel).

Featu

re

Ab

bre

via

tio

n

Descri

pti

on

of

evid

en

ce

So

urc

e

Co

rrela

tio

n w

ith

seis

mic

ity/

CE

F z

on

e

Use

Bultfo

nte

in

(SW

) B

LT

SW

R

ece

nt fa

ult z

one r

eachin

g th

e s

urf

ace 1

0 k

m

south

west

of

Bultfo

nte

in

Andre

oli

(199

6)

Not

sure

B

N 4

Bultfo

nte

in

(N6

0)

BLT

N6

0

Wid

espre

ad r

eactivatio

n o

f P

recam

bri

an f

aults f

rom

the

Wesselb

ron p

anneveld

60 k

m n

ort

h o

f B

ultfo

nte

in in

the K

rug

ers

do

rp a

rea

Andre

oli

(199

6)

Not

sure

B

N 4

Griquala

nd-

Tra

nsvaal

Axis

GT

A

Rela

ted t

o th

e s

ubsid

ence o

f th

e K

ala

hari B

asin

. S

mall

movem

ents

alo

ng t

his

axis

le

d t

o d

isru

ption o

f dra

inag

e

netw

ork

s a

nd d

eve

lop

ment

of

ne

w d

rain

ag

e lin

es

T P

art

rid

ge

(Pers

com

m.)

Thre

e p

art

s c

an b

e

consid

ere

d (

West,

Zon

e 9

, M

iddle

som

e

seis

mic

ity

– n

o z

one

ide

ntified,

East

–G

old

-

min

ing z

ones 1

1, 1

2)

AN

1

Sald

ana-

Agulh

as-A

xis

S

AA

Alo

ng t

his

axis

, th

ere

are

regio

ns w

here

litholo

gie

s

occu

r b

elo

w s

ea-l

evel. I

n the C

ap

e A

gulh

as,

fluvia

l

terr

aces o

f pro

bably

Neogen

e a

ges a

re u

pa

rched

acro

ss t

his

axis

. N

eote

cto

nic

join

ts,

faults a

nd

bre

ccia

s

Andre

oli

(199

6)

Occurs

betw

een Z

one

s

1 a

nd 2

A

N 1

Page 33: PART 3 First Order Regional Seismotectonic Model for South

3-3

3

Featu

re

Ab

bre

via

tio

n

Descri

pti

on

of

evid

en

ce

So

urc

e

Co

rrela

tio

n w

ith

seis

mic

ity/

CE

F z

on

e

Use

cut consolid

ate

d a

nd s

em

i-conso

lidate

d L

ate

Plio

ce

ne

to P

leis

tocene c

alc

are

nites n

ear

Ga

nsba

ai, Q

uoin

Poin

t, C

ap

e A

gu

lhas a

nd G

ouri

qua

Cis

kei

Sw

azila

nd

Axis

CS

A

Eart

hqu

akes in L

esoth

o o

ccur

ne

ar

the C

ed

arv

ille F

ault

an

d C

ed

arv

ille f

lats

allu

via

l d

ep

osits locate

d o

n t

he

inla

nd f

lank o

f th

e C

SA

. T

herm

al spri

ngs in K

waZ

ulu

Nata

l an

d M

pum

ala

nga a

lso o

ccur

alo

ng this

axis

Andre

oli

(199

6)

Kent

(198

1)

Occurs

alo

ng Z

ones 4

,

6,

5,

15,

14.

Severa

l

larg

e e

art

hqu

akes

occu

rre

d a

long t

his

axis

for

whic

h

macro

se

ism

ic d

ata

are

availa

ble

.

AN

1

Page 34: PART 3 First Order Regional Seismotectonic Model for South

3-3

4

Table

6 V

isual id

entification o

f C

EF

.

CE

F C

luste

r num

ber

Com

ment

1

His

torical eart

hqu

akes in C

ap

e T

ow

n C

luste

r

2

Ong

oin

g e

art

hq

uake a

ctivity

in the C

ere

s r

eg

ion

3

Spora

dic

low

density (

larg

e>

ML4)

ea

rth

qu

akes a

long t

he C

FB

4

Lin

ear-

like tra

ce o

f re

latively

low

er

density e

vents

alo

ng t

he E

ast

Coast

5

Clu

ste

r of

events

ab

out

the e

ast

coast

6

Clu

ste

r of

events

in L

esoth

o

7

Clu

ste

r of

events

in L

esoth

o

8

Clu

ste

r of

events

ne

ar

Koff

iefo

nte

in

9

larg

e>

ML4 e

art

hqu

ake

s –

als

o k

no

wn a

s t

he G

rootv

loer

clu

ste

r

10

Clu

ste

r of

events

in W

elk

om

gold

-min

ing d

istr

ict

11

Clu

ste

r of

events

in K

lerk

sdorp

min

ing d

istr

ict

12

Clu

ste

r of

events

in C

arleto

nvill

e-W

est R

and m

inin

g d

istr

ict

13

Explo

sio

ns in t

he C

oal field

s

14

Clu

ste

r of

events

ne

ar

Sw

azila

nd

15

Clu

ste

r of

events

alo

ng

the E

ast

Co

ast

16

Clu

ste

r of

events

17

Clu

ste

r of

events

18

Clu

ste

r of

events

– p

ossib

le r

ela

tion t

o p

latinum

min

es

Page 35: PART 3 First Order Regional Seismotectonic Model for South

3-3

5

Table

7 M

ain

chara

cte

ristics o

f seis

mogenic

str

uctu

res a

nd s

yste

ms.

R

efe

ren

ce

Eart

hq

ua

kes

Pre

sen

t D

efo

rma

tio

n

an

d

Str

es

se

s

Geo

log

ica

l P

rovin

ce

Str

ike

s o

f M

ain

fa

ult

s a

nd

oth

er

ch

ara

cte

risti

cs

Seis

mo

gen

ic S

tru

ctu

re A

Z

3

CE

F 3

K

BF

re

activate

d f

ault s

carp

s

CF

B

Fo

lde

d

co

asta

l de

lta

se

dim

ents

E-W

str

ike,

Str

ike S

lip

KB

F(E

-W

str

ike,

Norm

al

Fa

ult)

4

CE

F 4

C

ontinu

ation o

f K

BF

C

FB

Fo

lde

d

co

asta

l de

lta

se

dim

ents

KB

F(E

-W

str

ike,

Norm

al

Fa

ult)

Seis

mo

gen

ic S

yste

m B

Z

1

CE

F

1

(ma

inly

his

tori

ca

lly

rep

ort

ed

eart

hq

uakes)

SA

A

(See

de

tails

in

T

ab

le

5

abo

ve)

CF

B

Fo

lde

d

co

asta

l de

lta

se

dim

ents

5

CE

F

4,

5,

14,

15,

se

vera

l e

ve

nts

availa

ble

with

macro

seis

mic

info

rmation

CS

A

(Se

e

deta

ils

in

Tab

le

5

abo

ve)

Pa

sses

thro

ugh

a

ll m

ajo

r

geo

log

ical pro

vin

ce

s

6

193

2,

Ml

6.3

S

t L

ucia

Eart

hqu

ake

PD

MO

Z (

See d

eta

ils i

n T

ab

le 4

abo

ve)

Rocks form

ing th

e N

NM

B

14

Low

le

vel

of

eart

hq

uake

activity

GT

A

(Se

e

deta

ils

in

Tab

le

5

abo

ve)

Rocks f

orm

ing t

he K

he

iss G

rabe

n

and

the K

C

NE

-SW

Anis

otr

op

y

17,1

8

CE

F 1

7,1

8

TM

B

(See

deta

ils

in

Tab

le

4

abo

ve)

KC

E

W -

EN

E A

nis

otr

op

y

19

Low

le

vel

of

eart

hq

uake

activity

BB

SB

K

an

d

TH

PS

E

(See

deta

ils in

Ta

ble

4 a

bo

ve

)

Lim

pop

o B

elt

EW

Anis

otr

op

y

Page 36: PART 3 First Order Regional Seismotectonic Model for South

3-3

6

Ta

ble

8 P

ara

mete

rs f

or

the G

ute

nb

erg

-Ric

hte

r fr

eq

uen

cy

ma

gnitud

e r

ela

tio

n.

Zo

ne N

um

ber

mm

in

b

Sta

nd

ard

de

via

tio

n o

f

b

a

a (

an

nu

al)

2

3.4

0

.63

0.0

6

4.1

3

1.9

6

5

3.7

1

.08

0.2

5

.84

3.6

4

7

3.4

0

.86

0.1

4

.47

2.3

8

8

3

0.5

61

0.0

6

3.5

6

1.5

5

9

3.2

0.6

84

0.2

3

.28

1.5

4

10

3.1

1.1

0.0

3

6.1

8

4.4

5

11

3

0.9

89

0.0

2

6.1

7

4.4

2

12

3.1

1.2

0.0

2

7.1

5

5.1

5

13

3

0.9

32

0.2

4

.43

2.4

3

14

3

0.9

39

0.2

3.9

1.6

15

3.7

0.5

62

0.0

9

3.5

1

1.2

3

16

3.2

0.5

82

0.1

3

.08

1.1

17

3.7

1

.63

0.7

7

.11

5.1

2

18

3

0.9

44

0.2

4.4

2.4

Ba

ckgro

und

3

0.5

63

0.0

2

4.3

2

1.8

1