figure 4.1 hls histories of all sites, plotted with the aligned time

30
-40 -30 -20 -10 0 10 20 30 40 50 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 -2.2 +/-2.4 1 2 +/-0 3 Bdg99A3 Bdg99A1 -40 -30 -20 -10 0 10 20 30 40 50 60 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 -2.9 +/-1.7 -9.0 +/-3.0 -6.1 +/-0.7 07 /07 Tb97 Tb00A1 Uneroded HLS Eroded HLS Tectonic rate/displacement dashed where less certain dotted where extrapolated (a) Bendera (b) Badgugu West 4-68 Relative Elevation of HLS (cm) Figure 4.1 HLS histories of all sites, plotted with the aligned time scale and the same scaling of emergence and submergence relative to modern HLS. The 1935 event dominates the history. The 1962 event is the second largest event. The vertical deformation rates vary markedly from site to site and for different periods.

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-40

-30

-20

-10

0

10

20

30

40

50

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-2.2 +/-2.42 2 +/

1 2 +/-0 3

Bdg99A3

Bdg99A1

-40

-30

-20

-10

0

10

20

30

40

50

60

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-2.9 +/-1.79 +/ 1 7

-9.0 +/-3.0

-9

3 0

-6.1 +/-0.70 7/ 0 7/ 0 7

Tb97

Tb00A1

Uneroded HLSEroded HLS

Tectonic rate/displacement

dashed where less certaindotted where extrapolated

(a) Bendera

(b) Badgugu West

4-68

Rel

ativ

e E

leva

tio

n o

f H

LS

(cm

)

Figure 4.1 HLS histories of all sites, plotted with the aligned time scale and the same

scaling of emergence and submergence relative to modern HLS. The 1935 event

dominates the history. The 1962 event is the second largest event. The vertical

deformation rates vary markedly from site to site and for different periods.

-15

-5

5

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

(g) Antinang(g) Antinang

(h) Memong, head A2

(i) Memong, head A1

-10

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Tf99B1Tf99Ct(f) Tofa

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-0.3 +/-0.7

Pn00A1-east wingg

Pn00A1-west wing

Pn97P 97(e) Pono

-30

-20

-10

0

10

20

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-2.0 +/-0.8

Brg00A1 Brg-97

(d) Barogang

-50

-40

-30

-20

-10

0

10

20

30

40

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-5.1 +/-3.2

-9.3 +/-1.9

(c) Badgugu-East

Bdg00B1

4-69

Rel

ativ

e E

leva

tio

n o

f H

LS

(cm

)

Figure 4.1 Continued ...

-10

0

10

20

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Ba97B1 Ba97B2(l) Bai

-20

-10

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Pe97-1(k) Penang

-40

-30

-20

-10

0

10

1880 1890 1900 1 20 1930 1940 1950 1960 1970 1980 1990 2000

Taj00A1west-side cut

Taj00A1east side cut

(j) Tanjung Anjing

-20

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

9A1

0.8 +/-0.2(i) Memong Head 1

-20

-10

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Mm97A2

(h) Memong Head 2

4-70

Rel

ativ

e E

leva

tio

n o

f H

LS

(cm

)

Figure 4.1 Continued ...

-10

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Te97

(q) Telur

-20

-10

0

10

20

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

1

Sm97-1

Sm97-1

-10

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Lm99A1

-30

-20

-10

0

10

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Msn00A1

-40

0

10

20

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

2.0 +/-0.6/ 0 6-2.2+/-1.4

1.1 +/-0.21 1

Lg99A1g

-2.6 +/-1.0/ 1 0(m) Lago

(n) Masin

(o) Lambak

(p) Sambulaling

4-71

Rel

ativ

e E

leva

tio

n o

f H

LS

(cm

)

Figure 4.1 Continued ...

50km-Benioff isobath

99˚

00'E

98˚

00'E

98˚

30'E

0˚ 30'S

25km

Sumatra

Pini

Tanabala

Tanamasa

Siberut

Masin

1997(3-10)

1993-4(2.5/-6)

1994-eroded1994(>1.5)

1994(8.5)

1995(1.5)

1994(4-5)

1994(3)

1994(0.3/)

1994(>1.5/)

1994(1)

1993-4(3)

1994(7/)

1994-not affected1994-eroded?

1994(2)

1994-not affectedMemong

LagoLambak

Sambulaling

TelurAntinang

Pono

Barogang

Bendera

West BadguguEast Badgugu

Penang

Bai

1986(10)

1986(>2.5/-10)

1986(2.5/-5)

1986(>12/-12)

1986-7(2)

1987(0.5-3.5)

1986-not affected

1987(2)

1986-freegrowth

1986-eroded?1986-eroded?

1986-eroded?

1986-eroded?

1986-eroded?

1986-eroded?

1982(>1.5)1982(4)

1982(3)

1982(3)

1982(2.5)

1982-3(1.5)

1982-eroded?1982-not affected

1982-eroded?

Tofa

Tj.Anjing

Figure 4.2 Non-tectonic HLS die-downs during ENSO and IOD (Indian Ocean Dipole) events. Values in the brackets are measured emergence/submergence (-) from the paleogeodetic records.

4-72

(12/-12) = emergence/submergence (cm)

50km-Benioff isodepth

99˚

00'E

98˚

00'E

98˚

30'E

0˚ 30'S

25km

Sumatra

Pini

Tanabala

Tanamasa

Siberut

Masin 1991(4)

Lambak

1990(4)

Tofa

1958(4/-4)

1919.5(7/-8.5)

Bendera

1978-9(9/-12)

1976(5)

1979(2)

1974(2.5)

1974(2)

1978(4.5)

1991(1)

1991(1)

Pono

1986(10)

Figure 4.3 HLS die-downs that occurred locally. At the Pono site, the die-down in 1986 was probably of tectonic origin. The emergence/submergence episodes of 1978-9 at Bendera may reflect a very local tectonic event. At Masin and Lambak the die-down of ~1990 was possibly related to an earthquake event (Mw 5.2), but it may also be influenced by cyanide fishing. Sites with black letters probably experienced non-tectonic die-downs.

Lago

1994(7)

Bai

Sambulaling

4-73

-6

-3

0

3

6

1965 1970 1975 1980 1985 1990 1995 2000

-6

-3

0

3

6

-6

-3

0

3

6

Figure 4.4b Angsa site. During our visit in mid-1997, numerous living microatolls showed pristine micro-topography on their upper surface, characterized by alternating concentric ridges and swales.

HL

S re

sidu

al (

cm)

Bai

Sambulaling

Angsa

Figure 4.4a Three sites with particularly good HLS records allow calculation of uncertainties in rates of submergence/emergence due to annual fluctuations in lowest low tides. These three residual plots of the HLS records show the HLS fluctuations. The 2σ standard deviations are +/- 2.6 cm at Bai, +/-2.7cm at Sambulaling, and +/-2.8 cm at Angsa. The average HLS uncertainty is +/- 2.7 cm. This is the uncertainty that we can assign assign then to uneroded HLS records. Bai and Sambulaling data are from Fig. 3.42 and 3.50 respectively.

4-74

0

0

cm

191

19

Stage3: 3cm erosion at crests

970770

1975975

191965

Stage2: 2cm erosion at crests

0

1980

11995995

1990

1975751975

1965

Stage1: 1cm erosion at crests

Stage4: 4cm erosion at crests

?

Sm97- actual head cross section in 1997

Figure 4.5 Erosions adds additional uncertainty to the rate calculations. These five figures

show a hyphothetical degradation of a coral surface assuming erosion occurs predominantly as a diffusive process. The ridges erode more rapidly than swales, because of their more exposed position and greater ratio of surface area to volume.

4-75

-10

0

5

10

15

-10

-5

10

15

-10

5

10

15

-10

5

10

15

-10

-5

0

5

15

Ele

vatio

n of

HLS

rel

ativ

e to

cre

st o

f liv

ing

ring

(cm

)

Actual HLS history from Sm97-1

1cm erosion of the coral surface

2cm erosion of the coral surface

3cm erosion of the coral surface

4cm erosion of the coral surface

1.9 +/- 0.5 mm/y1 9 /

(a)

(b)

(c)

(d)

(e)

Figure 4.6 Graphical representations of coral degradations shown in the previous figure. The

standard errors of the averaged vertical motion rates are calculated using the weighted-least-

squared method described in the text. The assigned uncertainties of the 2-σ HLS records are

proportional to the severity of erosion.

2.3 +/- 0.7 mm/y2 3 +/ 0

2.3 +/- 1.1 mm/y2 3 +/ 1

4-76

Pini Basin

99˚

00'E

50km

-Wadati B

enio

ff Zone is

obath

98˚

00'E

98˚

30'E

0˚ 30'S

25km

Equator

-600

-1200

-600

-600

-240090

50

30

10

-10

Lago(-34+/-4)

Tj. Anjing(-28+/-5)

Memong(-8+/-5)

Pono(-10+/-6)

Masin(-19+/-4)

Sambulaling(-11+/-4)

-30-10

Labuan Bajau(~ -7 )

East Badgugu(+67+/-13)

Bendera(90+/-8)

Barogang(+35+/-8)

70

Figure 4.7 Vertical displacements during the 1935 event. The values of emergence (red) and submergence (green) are in cm and are plotted with their 2-σ uncertainty. The red and green lines are contours of the values. Contours of bathymetry (blue) are in meters. The 25-km isobath of the subduction interface cuts diagonaly accross the map.

4-77

1

2

3

4

5

6

7

8

1920 1925 1930 1935 1940 1945

Tb00A1

Bdg00B1

Brg00A1

Pn00A1

Mm00A1

Lg99/00A1

Taj00A1

Msn00A1

Figure 4.8 Date ranges of the December 1935 event based on visual ring counting from the

exterior ring. The weighted average of the dates is 1935.8 +/-0.6 (2σ).

-40 -30 -20 -10 0 10 20 30 40 50

Tb00A1-3aBdg00B1-2bBdg00B1-3aBdg00B1-4bBrg00A1-2aBrg00A1 2aBrg00A1-3aBrg00A1-4aPn00A3-2b-1Pn00A3-2b-2Pn00A3-4bPn00A3 4bPn00A3-5bMm00A1-3aLg00A1-1bLg00A1-2aTaj00A1-2aTaj00A1 2aTaj00A1-3aTaj00A1-4aTaj00A1-4bTaj00A1-5b

Tf99C1At99A1-2Lm99A1-1a

Age differences (years)

Figure 4.9 Date ranges for the 1935 event, based upon U-Th dates (red squares) and their 2σ

uncertainties (red bars) compared to the assigned ages from the visual ring counting (bold gray

line with gray bars).

4-78

99˚

00'E

50 k

m W

adati-B

enio

ff Zone Is

obath

98˚

00'E

98˚

30'E

0˚ 30'S

Equator

-25 k

m

20

402060

-20

-10

Lago(-34+/-4)

Tj. Anjing(-28+/-5)

Memong(-8+/-5)

Pono(-10+/-6)

Masin(-19+/-4)

Sambulaling(-11+/-4)

-10

Labuan bajau (~ -7)

East Badgugu(+67+/-13)

Bendera(90+/-8)

Barogang(+35+/-8)

Figure 4.10 A comparison of vertical deformations for the 1935 event. Values plotted under site names are from analysis of our microatoll records. Contours are from elastic dislocation model derived from seismologic rupture parameters, and the yellow rectangle is the seismologically determined source in plan view from Rivera et al. [2002].

4-79

99˚

00'E

50 k

m-W

adati-B

enio

ff zone is

obath

98˚

00'E

98˚

30'E

0˚ 30'S

25 k

m

Equator

-14+/-4

-5+/-6

2+/-5-4+/-4 ~ -5+/-4

15+/-920+/-8

15+/-8

Figure 4.11 Difference between measured uplift determined from microatolls and the uplift predicted by the elastic dislocation model. In general, the measured values of both emergence and submergence are greater than the predicted values. This may mean that significant aseismic afterslip occurred soon after the earthquake.

2 +/-5

4-80

100 0 100 200 300 400

Distance (km)

Upl

ift (

cm)

Dep

th (

km)

0

40

80

120

160

88.0(14.8)

125.0 (27.0)

Slip=2.33 meters

1935 EventBrg

Figure 4.12 2-D fit to microatoll data for the 1935 event. In Panel A the data are projected

onto a cross section perpendicular to the trench axis. In Panel B the data are projected onto a

cross section drawn 10 degree counter-clockwise from the line perpendicular to the trench axis.

Black numbers with arrows are the distance from the trench and the depth to the Wadati-

Benioff zone (in kilometers) of the updip and downdip limits of the 1935 rupture patch.

Panel B

100 0 100 200 300 400 500

Distance (km)

Upl

ift (

cm)

Dep

th (

km)

0

40

80

120

160

94.0(16.8)

125.0 (27.0)

Slip=2.52 meters

1935 EventBrg

Panel A

4-81

1950 1955 1960 1965 1970

Figure 4.13 Date ranges for the 1962 event based on visual ring counting.

Tb00A1Tb00A1

Bdg00B1Bdg00B1

Brg97Brg97Brg00A1Brg00A1

Pn97Pn97Pn00A3Pn00A3

Lg99A1Lg99A1

Taj00A1Taj00A1Msn00A1Msn00A1

Tf99C1Tf99C1

Pe97Pe97

Ba97B1Ba97B1

Lm99A1Lm99A1

Sm97-1Sm97 1

4-82

Pini Basin

99˚

00'E5

0km

98˚

00'E

98˚

30'E

0˚ 30'S25km

Equator

7+/-4

6+/-4

2+/-4

4+/-4

0+/-4

7+/-6

7+/-5

7+/-4

1+/-5

0+/-4 0+/-4

13+/-4

9+/-5 2+/-4

5+/-5

10

1010 cm

55

5

0

Figure 4.14 Map of emergence event that occurred in 1962. Values are in centimeters. Though coverage is incomplete the contours of uplift suggest two NE-trending ridges of emergence. Yellow shaded patches with dashed boundaries suggest which section of the subduction interface might have slipped to produce the pattern of uplift. Arrows indicate directions of slips.

4-83

Pini Basin

99˚

00'E

50km

98˚

00'E

98˚

30'E

0˚ 30'S

25km

Equator

-10-20

-10

-20

-20

-5

-10

?

-9+/-4

-8+/-4

-23+/-7

-21+/-6

-11+/-4

-14+/-5

-9+/-4-4+/-4

-11+/-4

-7+/-4

-2+/-4

-16+/-6

-8+/-4-12+/-6

Figure 4.15 Submergence that occurred in 1962 (values in centimeters). The pattern of the submergence, as delineated by the red contours, suggests slip on those patches of the subduction interface that did not slip in the preceding emergence event.

4-84

0 81624

0 100 200 300 400

Upl

ift (

cm)

Dep

th (

km) 40

80

120

160117.2(24.2)-133.2 (30.3)

Slip=1.66 meters

1962 Submergence

Slip=1.15 meters

103.0(19.3)

0

10

20 0 100 200 300 400

40

80

120

160

Distance (km)

Upl

ift (

cm)

Dep

th (

km)

1962 Emergence

1m slip

Figure 4.17 Data of the 1962

submergence are predicted by

slips on the outboard patch of

the 1935 rupture and on the

narrow patch near the down-

dip edge of the 1935 slip

source. Scattering of the data

may suggest slip variations

along the strike. Uniform slips

of 1.7 m on the orange patch

and 1.2 m on the red patch

produce the double-troughed

deformation pattern shown in

green. The model curve fits

much of the data, but the two

extreme submergence values

are grossly underfitted.

Figure 4.18 Superposition of the slips on the subduction interface from the 2-D elastic

dislocation models of 4.16 and 4.17. The 1962 slip patches overlap with the 1935 rupture but

extend farther up-dip and down-dip. This may indicate that the 1962 silent event facilitates the

distribution of slips throughout the broader interface.

Figure 4.16 The 2-D elastic dislocation fit of the paleogeodetic data of the 1962 emergence

event. Slips are allowed to vary along the patch. The observed emergences are explained by

slips on and near the lower boundary of the 1935 patch and on a wider patch further down-dip.

Black dots and vertical bars represent values of paleoseismic emergence with their 2-σ errors.

The scatter of the data reflects their variability along strike. Red bars indicate the sections of the

subduction interface that slipped. Bold orange lines show the magnitude of slips on the

subduction interface prescribed by the inversion. The triangular shape of the orange line

indicates that we have allowed slip to vary on the interface. The thin red curve is the modeled

vertical surface deformation.

0 81624

0 100 200 300 400

40

80

120

160

1962 Emergenceand Submergence

1935 rupture

1.2m0.5m

1.0m

1.7m1.7m

4-85

-10

1890 1900 1910 1920 1930 1940 1950 1960 1970

10

1.6 +/-1 7

Figure 4.19 Paleogeodetic records derived from HLS records, but corrected for a 2 mm/yr

global glacio-hydro-isostatic sea-level rise.

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-10

10

20

3.9 +/-1.09 +/

Sambulaling

Telur

20

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

0

Lambak

20

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-20

-10

0

1.3 +/-0.91.5 +/-1.81 5 +/ 1 8

Masin

30

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-30

-20

-10

10

20

4.0 +/-0.64 0

-4.3+/-6.3

-0.2+/-1.44

3.1 +/-0.23 4.6 +/-1.0

+/-1

30

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

0

20

BaiR

elat

ive

Ele

vatio

n (c

m)

Lago

20

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

10

5.8+/-1.4+/-1Penangg

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-30

-10

0

100.1 +/-2.8 ?

6.1 +/-2.46 1

Tj.Anjing

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-10

1 +/-2 ?? 2.5 +/-0.6

20

980 1990 2000

-

0

2.5 +/-0.62

Memong-head 2

1930 1940 1950 1960 1970 1980 1990 2000

1.3 +/-0.4

Rel

ativ

e el

evat

ion

(cm

)

1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1990 2000

0

10-1.5 +/-0.61.5 +/-0 6

Tofa

30

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-10

0

10

201.7 +/-1.4+/ 1 41.7 +/-0.70.70.9 +/-0.5

5+/-25+

Pono

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-10

0

20

-20

-3.0 +/-0.8-3 0 +/ -0.4 +/-0.6

Barogang

-10

0

10

20

30

1920 1930 1940 1950 1960 1970 1980 1990 2000

40

-7.3 +/-1.9

7.9

-3.1 +/-3.23 1 +/

East Badgugu

-40

-30

-10

0

10

30

40

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

-2.3 +/-3.62 31.6 +/-0.80.8

-0.2 +/-2.40.2West Badgugu

-0.9 +/-1.7

-7.0 +/-3.0

-1.2 +/-1.3 -7.9 +/-4.5

-4.1 +/-0.7-10+/-2.4

0 +

0.9

10+

/ 1 3 -7.9/ 1 3 -7.9

-20

0

10

20

30

40

50

9 +/ 4

1930 1940 1950 1960 1970 1980 1990 2000

70

Tj.Bendera

WEST

EAST

a

bb

c

ddd

e

ffff

ggg

hh

iii

jjjj

lll

m

n

o

pp

qqqqqq

4-86

Pini Basin

99˚

00'E

50km

-Benio

ff isobath

98˚

00'E

98˚

30'E

0˚ 30'S

25km

-Benio

ff isobath

Equator

Tanabala

Tanamasa

Pini

1

-40

32

-4.1+/-0.7

Badgugu0.8+/-0.3

Barogang0.0+/-0.8

Pono0.9+/-0.5

Memong2.8+/-0.2

3.1+/-0.2

Bendera

Lago

Figure 4.20 Rates of slow vertical deformation prior to 1935, adjusted for 2 mm/y of the global sea level rise. Shaded domain is the region that was slowly submerging. The highest recorded submergence was ~4 mm/yr. Eastern part of the islands was emerging. The highest emergence was ~3 mm/yr

4-87

Pini Basin

99˚

00'E

50 k

m W

adati-B

enio

f zone is

obath

98˚

00'E

98˚

30'E

0˚ 30'S

25km

Equator

-3

2

0

2 1

Bendera-7+/-3 East Badgugu

-7.3+/-1.9

Barogang-3.0+/-0.8

Pono1.7+/-0.7

Masin1.5+/-1.8

Figure 4.21 Average rates (mm/y) of post-seismic deformation from 1935 to 1961 after a rate adjustment by 2 mm/yr for global sea-level rise (data from Fig.4.19). Submergence rates of the sites in the western part abruptly increased. The highest recorded submergence is 7 mm/yr.

Tanabala

Tanamasa

Pini

4-88

Locked patch?

Pini Basin

99˚

00'E

50km

-Benio

ff isobath

98˚

00'E

98˚

30'E

0˚ 30'S

25km

0

23

45

6

-1

-2

21

234

?

?

?

-0.9+/-1.7

-0.2+/-2.4-3.1+/-3.2

-0.4+/-0.6

1.7+/-1.4

1.5+/-0.6

1.3+/-0.4

2.5+/-0.6

6.1+/-2.4

5.8+/-1.4

6.0+/-1.1

4.6+/-11.3+/-0.9

3.2+/-0.8

3.9+/-1.0

1.6+/-1.7

Equator

?

TanabalaIsland

TanamasaIsland

Pini Island

Figure 4.22 Modern rates (1962-2000) after 2 mm/yr adjustments for the global sea-level rise. Values are in milimeters per year. Contouring of the values shows that the hingeline runs parallel to the trench. The maximum submergence occurs around the southwestern part of Tanabala Island. The larger maximum emergence is centered about 10 km off the east coast of Tanamasa Island. An "odd" ridge of emergence runs almost parallel to the long axis of Pini Island.

4-89

top interface

bottom interface

Coseismic

interseismic

A

B

C

D

Vplate

Vplate

Vplate

Vout

Mantle

Slab

Overriding Plate

d lock dslipT

trench

Figure 4.23a Sketch showing the parameters of an idealized elastic dislocation model of interseismic deformation at a subduction zone [after Sieh et al., 1999]

Figure 4.23b An elastic dislocation model of an earthquake cycle. Red patches slip equal to a plate rate (i.e. a fraction of aseismic slip is 1.0) during an interseismic period. Panels A and B show contributions to vertical motion from indivdual sources. Panel D shows a total vertical motions. Note that motions due to the top and the bottom interfaces are nearly mirror image to each other. So, in a steady state subduction they nearly cancel one another. Panel C shows vertical motion in a seismic event, which is nearly a mirror image to that of the interseismic period [from Steve Ward, written comm., 2002].

4-90

a fraction of plate rate

Figure 4.24 Elastic dislocation models of slow vertical deformation prior to 1935.

Panel A uses a 2 mm/y global sea level rise correction. Panel B assumes 1 mm/y. The

high rate of submergence and low rates of emergence require rates of slip on the

subjacent interface that are 50 -75% of the long-term plate rate. Slip rates on the

interface between the islands and the trench are appreciably higher than the long-term

plate rate.

0 2 4 6

0 100 200 300 400Distance (km)

Upl

ift (

mm

/y)

Dep

th (

km) 40

80

120

160125.0 km

Panel APre 1935

Slip=55 mm/y

Slip=40 mm/yBaseline= 2 mm/y

Slip=25 mm/y

83.5

Xout

Xslip

MmLg

Tb

0 2 4 6

0 100 200 300 400Distance (km)

Upl

ift (

mm

/y)

Dep

th (

km) 40

80

120

160125.0 km

Panel BPre 1935

Slip=72 mm/y

Slip=40 mm/yBaseline= 1 mm/y

Slip=30 mm/y

83.5

4-91

Figure 4.25 Elastic

dislocations modeling of

slow vertical deformation

for the period from 1935

to 1961. Paleogeodetic

data are projected onto a

cross-section

perpendicular to the

trench. Both Panel A and

B have a fixed boundary

at 125km from the trench

but use a global sea-level

rise correction of 2 mm/yr

and 1 mm/yr respectively.

In Panel C this boundary

has been allowed to

move. In all three models

the up-dip section slips at

or slightly faster than

long-term plate rate. Data

from the western part

require the 1935 rupture

patch to creep at about a

quarter of the long-term

plate rate. Panel C shows

that intrusions of the

creeping up-dip and

down-dip sections into

the healed 1935 rupture

patch better fit the eastern

data.

0 2 4 6

0 100 200 300 400U

plift

(m

m/y

)D

epth

(km

) 40

80

120

160

Distance (km)

95.3(16.9)

125 (27)

Slip=40 mm/y

1935-1961

Slip=41 mm/y

Baseline= 2 mm/y

Slip= 9 mm/y

Panel A

Msn

0 2 4 6

0 100 200 300 400

Upl

ift (

mm

/y)

Dep

th (

km) 40

80

120

160

Slip=40 mm/y

1935-1961

Slip=53 mm/y

Baseline= 2 mm/y

Slip=9 mm/y

115.7(23.6)100.4(18.5)

Panel C

0 2 4 6

0 100 200 300 400

40

80

120

160

Upl

ift (

mm

/y)

Dep

th (

km)

95.3(16.9) 125

(27)

Slip=40 mm/y

1935-1961

Slip=54 mm/y

Baseline= 1 mm/y

Slip=14 mm/y

Panel B

Mm

4-92

112.8(22.8) 125(27)

Slip=40mm/y

Slip=27 mm/y

Baseline= 2 mm/y

Slip=9 mm/y

Panel B1962-2000

135(31)

Slip=40 mm/y

Slip=0.0 mm/y

Baseline= 2 mm/y

Slip=0.0 mm/y

Panel A1962-2000

0 2 4 6

0 100 200 300 400

40

80

120

160

Upl

ift (

mm

/y)

Dep

th (

km)

108.5(21.1) 125 (27)

Slip=40 mm/y

Slip=37 mm/y

Baseline= 1 mm/y

Slip=17 mm/y

Panel C1962-2000

0 2 4 6

0 100 200 300 400Distance (km)

Upl

ift (

mm

/y)

Dep

th (

km) 40

80

120

160

0 2 4 6

0 100 200 300 400

Upl

ift (

mm

/y)

Dep

th (

km) 40

80

120

160

Figure 4.26 The 2-D inverse elastic dislocation models of the modern rates (1962-2000). The

fully locked model in Panel A is an acceptable inverse model, but greatly under predicts the

important westernmost point. Models in Panel B and C fit the westernmost point and thus are

preferred solutions. The principal observation is that the submergence rates in the western part

have declined significantly since 1962. This requires that slip rates on the interface between the

island and the trench have decelerated to only about 65% of the long-term plate rate, but that the

zone of slippage extent farther down-dip onto the principal locked patch.

4-93

99˚

00'E

50km-B

enioff isobath

98˚

00'E

0˚ 30'S

25km

Equator

0

23

45

6

-1

-2

21

2

34

?

?

?

99˚

00'E

50km

98˚

00'E

0˚ 30'S

25km

Equator

-10

-20

-10

-20

-20

-5

-10

99˚

00'E

50km

98˚

00'E

0˚ 30'S

25km

Equator

10

1010 cm

55

5

0

7+/-4

6+/-4

2+/-4

4+/-4

0+/-4

7+/-6

7+/-5

7+/-4

1+/-5

0+/-40+/-4

13+/-4

9+/-5

2+/-4

5+/-5

Pini Basin

99˚

00'E

50 km W

adati-Beniof zone isobath

98˚

00'E

0˚ 30'S

25km

Equator

-3

2

0

2 1

-7+/-3-7.3+/-1.9

-3.0+/-0.8

1.7+/-0.7

1.5+/-1.8

99˚

00'E

50 km W

adati-Benioff Z

one Isobath

98˚

00'E

0˚ 30'S

Equator

-25 km

9050

30

10

-10

(+67+/-13)

(90+/-8)

(+35+/-8)

(-34+/-4)

(-28+/-5)

(-8+/-5)

(-10+/-6)

(-19+/-4)

(-11+/-4)

-10

-30

99˚

00'E

50km-B

enioff isobath

98˚

00'E

0˚ 30'S

25km

Equator

1

-40

32

-4.1+/-0.7

0.8+/-0.3

0.0+/-0.8

0.9+/-0.5

2.8+/-0.2

3.1+/-0.2

Tanabala

Tanamasa

Pini

-9+/-4

-8+/-4

-23+/-7

-21+/-6

-11+/-4

-14+/-5

-9+/-4-4+/-4

-11+/-4

-7+/-4

-2+/-4

-16+/-6

-8+/-4 -12+/-6

-0.9+/-1.7

-0.2+/-2.4-3.1+/-3.2

-0.4+/-0.6

1.7+/-1.4

1.5+/-0.6

1.3+/-0.4

2.5+/-0.6

6.1+/-2.4

5.8+/-1.4

6.0+/-1.1

4.6+/-11.3+/-0.9

3.2+/-0.8

3.9+/-1.0

1.6+/-1.7

(a) Deformation rates 1900-1935 (mm/yr)

(b) Vertical deformation of the1935 event (cm)

(c) Deformation rates 1935 - 1962 (mm/yr)

(d) Emergence event in 1962 (cm)

(e) Submergence event in 1962 (cm)

(f) Deformation rates 1962 - 2000 (mm/yr)

4-94

Figure 4.27 Summary of paleogeodetic records of vertical deformations for the 20th century.

Note that deformation rates differ significantly between the three periods separated by the 1935

and 1962 events. Submergence rates are fastest in the post-earthquake period 1935-1962. In the

past four decades the rates slowed down. These differences indicate changes in the the slip rates

and other processes operating on and around the subduction interface.

100

0

100

200

300

400

Uplift (cm) Depth (km) 0

40

80

120

160

88.0

(14.

8)12

5.0

(27.

0)

S

lip =

2.3

met

ers

Pan

el B

1935

Eve

nt

0 2 4 6

0 1

00 2

00 3

00 4

00D

ista

nce

(km

)

Uplift (mm/y) Depth (km) 4

0

80

120

160

Pan

el A

Pre

193

5

S

lip=5

.5 c

m/y

S

lip=4

cm

/yB

asel

ine=

2 m

m/y

S

lip=2

.5 c

m/y

Xou

t

Xsl

ip

83.5

(1

3.6)

125.

0 (2

7.0)

0 2 4 6

0 1

00 2

00 3

00 4

00

Uplift (mm/y) Depth (km) 40 8

0

120

160

S

lip=4

cm

/y

Pan

el C

1935

-196

1

S

lip=5

.3 c

m/y

Bas

elin

e= 2

mm

/y

S

lip=0

.0 c

m/y

115.

7(23

.6)

100.

4(1

8.5)

112.

8(22

.6)

125.

0 (2

7.0)

S

lip=4

cm

/y

S

lip=2

.7 c

m/y

Bas

elin

e= 2

mm

/y

S

lip=0

.9 c

m/y

Pan

el F

1962

-200

0 0 2 4 6

0

100

200

300

400

Uplift (mm/y) Depth (km) 4

0

80

120

160 01020

0

100

200

300

400

40

80

120

160

Dis

tanc

e (k

m)

Uplift (cm) Depth (km)

Pan

el D

1962

Em

erge

nce

1m s

lip

0 81624

0 1

00 2

00 3

00 4

00

Uplift (cm) Depth (km) 40

80

120

160

117.

2(24

.2)

Slip

=1.

66 m

eter

s

Pan

el E

1962

Sub

mer

genc

e

S

lip=

1.15

met

ers

103.

0(1

9.3)

133.

2 (3

0.3)

105.

0 (2

0.0)

127.

0 (2

8.2) 16

2-18

0 (4

0-50

)

Fig

ure

4.2

8 S

um

mar

y o

f th

e el

asti

c dis

loca

tion m

odel

s of

the

centu

ry-l

ong p

aleo

geo

det

ic h

isto

ry. T

he

1935 a

nd t

he

1962 a

re

the

maj

or

tect

onic

even

ts, an

d d

emar

cate

appre

ciab

le c

han

ges

in t

he

beh

avio

rs o

f th

e su

bdu

ctio

n i

nte

rfac

e.

4-95

0

100

200

300

400

500

600

700

800

0 20 40 60 80 100 120 140 160 180 200 220

1962-2000

1962-2000

1962 Submergence

19621962

EmergenceEmergence

1935-1961

1935-19611900-1935

up-dip

1935

rupture

down-dip stable sliding

Distance from trench axis (km)

EastWestC

um

ula

tive s

lip o

n the inte

rface (

cm

)

Figure 4.29 Seismic and aseismic slip history on the subduction interface from 1900 to 2000 based on paleogeodetic data and elastic dislocation models. The red, yellow, and green areas represent the amount of slips in the 1935, 1962 emergence, and 1962 submergence events respectively. All other colors represent aseismic slips during intervening periods. Stable sliding at plate rate is indicated as 100% on the right-side scale.

50

100

150

200

% o

f pla

te ra

te a

ccom

odate

d

ste

ady s

ubm

erg

ence

recentslip deficit

4-96

Equator

1S

2S

99E98E

-200

-200

-600

-1200

-600

-600

-600-1800

-2400-3000

-3600-4000

-4600

-5000

-200

I FZ

PLATE

VECTOR

60 m

m/y

r

No

rth

110

40

Trench

0

60 m

m/y

r(P

late

vecto

r)

7 mm/yr

WFSR

35

IFZ

axis

IFZ

70 km

5 M

a10 M

a

Pre

sent

Projection of

IFZ on the interface

Figure 4.30. Hyphothesis of the eastward moving of the subducting Investigator Fracture Ridge

zone (IFZ) along the Sumatran subduction. WFSR is Wharton Fossil Spreading Ridge zone. The

plate vector is ~7 degree eastward from the axis of the IFZ. Thus, the IFZ moves toward east

about 7 mm/yr. The IFZ moved about 70 km since 10 Ma or about 155 km along the trench axis.

This subducting IFZ may have led to the intense faulting on the hanging wall above and to the

high percentage of aseismic slip on the subduction interface. Gray shaded and yellow shaded

regions indicate the trails of and an approximate present position of the IFZ.

4-97