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PROCEEDINGS BOOK

OF T H E

20

t h

Congress of Hungarian Geomathematicians and 9

t h

Congress of Croatian & Hungarian Geomathematicians

"Geomathematics in multidisciplinary science - The new frontier?"

2017

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IMPRESSUM

Publisher: Pécs R e g i o n a l C o m m i t t e e o f t h e H u n g a r i a n A c a d e m y o f S c i e n c e s Editors: István Gábor H a t v a n i , Péter T a n o s , M a r k o C v e t k o v i c , F e r e n c F e d o r

Circulation: 8 0 c o p i e s ISBN 9 7 8 - 9 6 3 - 8 2 2 1 - 6 5 - 0

Subject Collection: G e o m a t h e m a t i c s

Organizers

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& I n f o r m a t i c s S e c t i o n o f t h e H G C

C S F K

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ft. 2007 ^

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M T A C S F K 2 k a P a l a e o c l i m a t e

R e s e a r c h G r o u p

G e o m a t h e m a t i c a l S e c t i o n o f t h e

C r o a t i a n G e o l o g i c a l S o c i e t y

C l u s t e r o f A p p l i e d E a r t h S c i e n c e s

U n i v e r s i t y o f Z a g r e b , F a c u l t y o f

M i n i n g , G e o l o g y a n d P e t r o l e u m

E n g i n e e r i n g

GElrCHEM

G e o c h e m L t d .

S z e n t István U n i v e r s i t y , F a c u l t y

o f M e c h a n i c a l E n g i n e e r i n g

T h e S o u t h T r a n s d a n u b i a n R e g i o n a l B r a n c h o f t h e H u n g a r i a n G e o l o g i c a l S o c i e t y

H u n g a r i a n A c a d e m y o f S c i e n c e s , G e o m a t h e m a t i c a l S u b c o m m i t t e e o f C o m m i t t e e o n G e o l o g y a n d t h e R e g i o n a l

C o m m i t t e e i n P e c s

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Sponsors

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M O L P i c .

M E C S E K E R C Zrt.

Mecsekérc P i c .

H U N G A R I A N A C A D E M Y O F S C I E N C E S

H u n g a r i a n A c a d e m y o f

S c i e n c e s

[ N K S Z 2 0 1 7 - 2 8 ) PÉCS-BARANYAI

K E R E S K E D E L M I ÉS IPARKAMARA

C h a m b e r o f C o m m e r c e a n d I n d u s t r y o f Pécs-

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E n t e r p r i s e E u r o p e N e t w o r k

E u r o p e a n C o m m i s s i o n

European Commission

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SCIENTIFIC PROGRAM

Wednesday (10.05) - Geostatistics today - p r e - c o n f e r e n c e s h o r t c o u r s e b y János Geiger

Thursday ( 1 1 - 0 5 ) -

0 9 : 0 0 - Registration

1 1 : 0 0 - 1 1 : 3 0 Opening ceremony w i t h s p e e c h e s b y :

Ferenc Fedor - P r e s i d e n t o f t h e G e o m a t h e m a t i c a l & I n f o r m a t i c s S e c t i o n o f t h e HGC Tamás Síkfői - P r e s i d e n t o f t h e C h a m b e r o f C o m m e r c e a n d I n d u s t r y o f Pécs-Baranya Zoltán Unger - A s s o c i a t e P r e s i d e n t o f t h e H u n g a r i a n Geological S o c i e t y

1 1 : 3 0 - 1 2 : 0 0 Opening lecture b y János Geiger - Statistical Process Control in The Evaluation of Geostatistical Simulations

1 3 : 0 0 - 1 4 : 3 0 Climate modelling past and future - c h a i r : István G. H a t v a n i

K e y n o t e s p e a k e r : Gabriella Szépszó - Climate adaptation in Hungary: from the climate model outputs to the end-users

Dániel Topái Csaba Ilyes Tímea Kalmár Péter Szabó

D e t e c t i n g b r e a k p o i n t s i n a n n u a l 51 80 i c e c o r e r e c o r d s f r o m N o r t h G r e e n l a n d

E x a m i n a t i o n o f 1 1 0 y e a r l o n g R a i n f a l l D a t a u s i n g S p e c t r a l a n d W a v e l e t A n a l y s i s

R e g i o n a l c l i m a t e m o d e l l i n g w i t h special f o c u s o n t h e p r e c i p i t a t i o n - r e l a t e d f i n e scale p r o c e s s e s

S o u r c e s o f u n c e r t a i n t i e s i n c l i m a t e m o d e l r e s u l t s

1 5 : 0 0 - 1 7 : 3 0 ( w i t h b r e a k ) Big data in geoscience - c h a i r : Zoltán N a g y

K e y n o t e s p e a k e r : Balázs Székely - Big data in geoscience - are we big enough to use and to understand that properly?

Zoltán Nagy T h e R e p o s i t o r y I n f o r m a t i o n M o d e l

Éva Farics D e t e r m i n a t i o n o f s e d i m e n t o l o g i c a l p r o c e s s e s o f a c o a r s e - g r a i n e d d e p o s i t s i n B u d a H i l l s a p p l y i n g c o m b i n e d c l u s t e r a n d d i s c r i m i n a n t a n a l y s i s

László Sőrés H o w t o D o c u m e n t Scientific W o r k ? P r e s e r v i n g M e m o r i e s f o r t h e S e m a n t i c W e b

László G. Somos S t a t i s t i c e v a l u a t i o n o f d i g i t i z e d g e o p h y s i c a l w e l l logs d a t a . ( D i g i t i z e d logs, S t a t i s t i c a l e v a l u a t i o n , M u l t i - c o r r e l a t i o n )

Gyula Mező U s e o f S e q u e n t i a l G a u s s i a n S i m u l a t i o n f o r m o d e l l i n g g r o u n d w a t e r p a t h l i n e s a n d t r a v e l t i m e s n e a r a n u n d e r g r o u n d r a d i o a c t i v e w a s t e r e p o s i t o r y

Tamás Miklovicz A p p l i c a t i o n o f 3 D geological m o d e l l i n g a n d g r a d e t o n n a g e c a l c u l a t i o n s o n R e c s k o r e c o m p l e x

Ágnes Krupa " D a t a - M i n e " s o f t w a r e : C o m p l e x e a r t h s c i e n t i f i c d o c u m e n t a t i o n o f e x c a v a t i o n s w i t h a u n i f o r m , r e a l 3 D b a c k g r o u n d

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Friday (12.05) -

0 8 : 3 0 - 1 0 : 3 0 ( w i t h b r e a k ) Mathematical aspects of reservoir geology - c h a i r : J a n o s G e i g e r

• K e y n o t e s p e a k e r : Marko Cvetkovic - Geomathematical aspects of reservoir and exploration geology

• István Nemes F r o m R u s s i a w i t h l o v e - O n p r o d u c t i o n since 1 9 4 7

• Szabolcs Borka H a n d l i n g a m a t u r e clastic H C r e s e r v o i r w i t h o u t s e i s m i c - t r e n d s , facies p r o p o r t i o n s a n d d e p o s i t i o n a l z o n e s

• János Blahó P e r m e a b i l i t y p r o b l e m a t i c s i n m o d e l l i n g o f h i g h l y h e t e r o g e n e o u s r e s e r v o i r s

• Ivona Emanovic V a r i o g r a m a n a l y s i s o f w e l l d e r i v e d l i t h o f a c i e s d a t a i n E a s t e r n p a r t o f D r a v a D e p r e s s i o n

• Zsolt Kovács E v a l u a t i o n o f t h e t r e n d s o f h y d r o c a r b o n m i g r a t i o n p r o c e s s e s b a s e d o n o i l d e n s i t y - r e s e r v o i r d e p t h s r e l a t i o n s h i p i n H u n g a r y

1 1 : 0 0 - 1 2 : 1 5 Geomathematics in water quality protection - c h a i r : Balázs Trásy

• K e y n o t e s p e a k e r : József Kovács - Determining Water-Bodies Using Multivariate Data Analysis Methods

• Zsuzsanna Szabó A r e a c t i v e t r a n s p o r t m o d e l o f C O 2 a n d b r i n e i n f l o w t o a f r e s h w a t e r a q u i f e r

• István G. Hatvani E s t i m a t i o n o f c h l o r o p h y l l - a i n r i v e r s , o n t h e e x a m p l e o f t h e R i v e r D a n u b e a n d T i s z a

• Péter Tanos C o m b i n e d C l u s t e r a n d D i s c r i m i n a n t A n a l y s i s o n t h e R i v e r Raab's A u s t r i a n a n d H u n g a r i a n s e c t i o n s

1 3 : 3 0 - 1 5 : 0 0 Data analysis in engineering geology - c h a i r : László Kovács

• K e y n o t e s p e a k e r : Ákos Török - Geomathematical aspects of engineering geology

• Balázs Czinder S t a t i s t i c a l a n a l y s e s o f s t r e n g t h p a r a m e t e r s a n d a g g r e g a t e p r o p e r t i e s o f a n d e s i t e s f r o m H u n g a r y

• Nikoletta R.-Boissinot E v a l u a t i o n o f c u r v e c h a r a c t e r i s t i c s o f s h e a r s t r e n g t h a l o n g d i s c o n t i n u i t i e s u s i n g s t a t e - o f - t h e - a r t b r e a k p o i n t d e t e c t i o n m e t h o d s

• Alina Vattai E f f e c t o f JRC v a l u e o n s h e a r s t r e n g t h a l o n g d i s c o n t i n u i t i e s o f H u n g a r i a n s a n d s t o n e s

• Dániel Borbély P e r m e a b i l i t y o f r o c k m a s s a r o u n d a r a d i o a c t i v e w a s t e r e p o s i t o r y t u n n e l

1 5 : 3 0 - 1 7 : 1 5 System theory, future of geology & geoinformatics - c h a i r : P e t e r T a n o s

• K e y n o t e s p e a k e r : Sandor Molnar- The qualitative assessment of structured systems

• Viktor Feurer T h e 3r d/ 4t h i n d u s t r i a l r e v o l u t i o n - C h a l l e n g e s f o r r e s e a r c h e r s -

• Ferenc Fedor H o w t o a u t o m a t e a p e t r o p h y s i c a l l a b o r a t o r y ? - c h a l l e n g e s a n d s o l u t i o n s

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• Neven Trenc A p p l i c a t i o n o f s e m i - a u t o m a t e d GIS p r o c e d u r e f o r r i v e r t e r r a c e d e l i n e a t i o n o n h i g h r e s o l u t i o n L i D A R d a t a i n S a v a r i v e r v a l l e y w e s t o f Z a g r e b , C r o a t i a - F i r s t r e s u l t s

• Ana Brckovic A p p l i c a t i o n o f a r t i f i c i a l n e u r a l n e t w o r k s f o r l i t h o f a c i e s d e t e r m i n a t i o n i n a b s e n c e o f s u f f i c i e n t w e l l d a t a

• Nikolina Mijic Q u a r r y S u r v e y i n g a n d A n a l y s i s U s i n g D r o n e - m o u n t e d L i D A R & A u t o C A D C i v i l 3 D

Saturday (13.05) -

0 8 : 4 5 - 1 0 : 1 5 Poster session - chair: Marko Cvetkovic

• Janina Horváth

• Tímea Kocsis

• Dániel Erdélyi

• Artúr Köhler

• Shwan 0. Hussein

• Norbert Magyar

• Zsuzsanna Szabó

• Gábor Somodi Sándor Gulyás

A p p l i c a t i o n o f c l u s t e r vs. d i r e c t i o n a l c l a s s i f i c a t i o n m e t h o d t o i d e n t i f y l i t h o f a c i e s a n d s e d i m e n t a r y e l e m e n t s

C o m p a r i s o n o f p a r a m e t r i c a n d n o n - p a r a m e t r i c t i m e - s e r i e s a n a l y s i s m e t h o d s o n a l o n g - t e r m m e t e o r o l o g i c a l d a t a s e t

V a r i o g r a m a n a l y s i s o f p r e c i p i t a t i o n 8 1 8 0 o v e r t h e I b e r i a n P e n i n s u l a o n a m o n t h l y - , s e a s o n a l - a n d a n n u a l scale

T r e n d s i n c o n t a m i n a n t c o n c e n t r a t i o n t i m e series

T h e g e o g r a p h i c a l e v o l u t i o n o f u r b a n g r e e n n e s s i n t h e c i t y o f E r b i l b a s e d o n L a n d s a t i m a g e r y

C o m b i n e d C l u s t e r a n d D i s c r i m i n a n t A n a l y s i s , a n e f f i c i e n t t o o l i n t a x o n o m i c a l c l a s s i f i c a t i o n

A n u m e r i c a l m o d e l o f N a - m o n t m o r i l l o n i t e v a l i d a t e d b y b a t c h e x p e r i m e n t s R e l a t i o n s h i p b e t w e e n g e o t e c h n i c a l p a r a m e t e r s a n d d i s c r e t e f r a c t u r e n e t w o r k s i m u l a t i o n r e s u l t s i n B a t a a p a t i N a t i o n a l R a d i o a c t i v e W a s t e R e p o s i t o r y

D a t a a c q u i s i t i o n , p r e - p r o c e s s i n g o f 3 D i m a g e d a t a o f a r t i f i c i a l l y d i s t o r t e d s k u l l s , a r c h a e o l o g i c a l a r t e f a c t s , fossils f o r 3 D g e o m e t r i c m o r p h o m e t r i c a n a l y s i s u s i n g C T a n d l a s e r s c a n n i n g : a c o m p a r i s o n

1 0 : 3 0 - 1 2 : 3 0 Geomathematics in applied geosciences - c h a i r : F e r e n c F e d o r

• K e y n o t e s p e a k e r : Zoltán Unger - Fault Statistics and Fractal Geometry

• Dorottya Kovács

• Tamás Jaskó

• Noémi Jakab

• Mihály Apró

• László Z.-Sebess

• Mátyás Sanocki

I m a g e p r o c e s s i n g f o r f r a c t a l g e o m e t r y - b a s e d D i s c r e t e F r a c t u r e N e t w o r k m o d e l l i n g i n p u t d a t a

Q u a n t i t a t i v e D e t e r m i n a t i o n o f S t a n d a r d S p h e r i c i t y a n d R o u n d n e s s

D e t e r m i n i n g t h e s u f f i c i e n t n u m b e r o f s t o c h a s t i c r e a l i s a t i o n s t o r e p r e s e n t s p a t i a l u n c e r t a i n t y

S p a t i a l u n c e r t a i n t y q u a n t i f i c a t i o n u s i n g d i s t a n c e - K e r n e l m e t h o d G e o t h e r m a l p o t e n t i a l e s t i m a t i o n w i t h M o n t e C a r l o m e t h o d

U n c e r t a i n t y o f s u b s u r f a c e u n c e r t a i n t y a n a l y s i s ' - can w e m i t i g a t e i t ? 1 2 : 3 0 - 1 3 : 0 0 Closing ceremony - István G. Hatvani - Ferenc Fedor - Marko Cvetkovic

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Table of contents

S t a t i s t i c a l p r o c e s s c o n t r o l i n t h e e v a l u a t i o n o f g e o s t a t i s t i c a l s i m u l a t i o n s 1 0

P a r t I - C l i m a t e m o d e l l i n g p a s t a n d f u t u r e . 1 8 C l i m a t e a d a p t a t i o n i n H u n g a r y : f r o m t h e c l i m a t e m o d e l o u t p u t s t o t h e e n d - u s e r s 1 9

D e t e c t i n g b r e a k p o i n t s i n a n n u a l < J1 8O i c e c o r e r e c o r d s f r o m N o r t h G r e e n l a n d * 2 0 E x a m i n a t i o n o f 1 1 0 y e a r l o n g R a i n f a l l D a t a u s i n g S p e c t r a l a n d W a v e l e t A n a l y s i s 2 8 R e g i o n a l c l i m a t e m o d e l l i n g w i t h s p e c i a l f o c u s o n t h e p r e c i p i t a t i o n - r e l a t e d f i n e s c a l e

p r o c e s s e s 3 6 S o u r c e s o f u n c e r t a i n t i e s i n c l i m a t e m o d e l r e s u l t s 4 4

P a r t 11 - B i g d a t a i n g e o s c i e n c e 4 5 B i g d a t a i n g e o s c i e n c e - a r e w e b i g e n o u g h t o u s e a n d t o u n d e r s t a n d t h a t p r o p e r l y ? 4 6

T h e R e p o s i t o r y I n f o r m a t i o n M o d e l ( A D r e a m o f t h e F u t u r e ) 4 7 D e t e r m i n a t i o n o f s e d i m e n t o l o g i c a l p r o c e s s e s o f a c o a r s e - g r a i n e d d e p o s i t s i n B u d a H i l l s

a p p l y i n g c o m b i n e d c l u s t e r a n d d i s c r i m i n a n t a n a l y s i s . 4 8 H o w t o D o c u m e n t S c i e n t i f i c W o r k ? P r e s e r v i n g M e m o r i e s f o r t h e S e m a n t i c W e b 4 9

S t a t i s t i c e v a l u a t i o n o f d i g i t i z e d g e o p h y s i c a l w e l l l o g s d a t a . ( D i g i t i z e d l o g s , S t a t i s t i c a l

e v a l u a t i o n , M u l t i - c o r r e l a t i o n ) 5 0 U s e o f S e q u e n t i a l G a u s s i a n S i m u l a t i o n f o r m o d e l l i n g g r o u n d w a t e r p a t h l i n e s a n d t r a v e l

t i m e s n e a r a n u n d e r g r o u n d r a d i o a c t i v e w a s t e r e p o s i t o r y 5 1 A p p l i c a t i o n o f 3 D g e o l o g i c a l m o d e l l i n g a n d g r a d e t o n n a g e c a l c u l a t i o n s o n R e c s k o r e

c o m p l e x 5 9

"Data-Mine" software: Complex earth scientific documentation of excavations w i t h a

u n i f o r m , r e a l 3 D b a c k g r o u n d 6 0 P a r t I I I - M a t h e m a t i c a l a s p e c t s o f r e s e r v o i r g e o l o g y 6 1

G e o m a t h e m a t i c a l a s p e c t s o f r e s e r v o i r a n d e x p l o r a t i o n g e o l o g y 6 2

F r o m R u s s i a w i t h l o v e - O n p r o d u c t i o n s i n c e 1 9 4 7 6 3 H a n d l i n g a m a t u r e c l a s t i c H C r e s e r v o i r w i t h o u t s e i s m i c - t r e n d s , f a c i e s p r o p o r t i o n s a n d

d e p o s i t i o n a l z o n e s . 7 1 P e r m e a b i l i t y p r o b l e m a t i c s i n m o d e l l i n g o f h i g h l y h e t e r o g e n e o u s r e s e r v o i r s 7 9

V a r i o g r a m a n a l y s i s o f w e l l d e r i v e d l i t h o f a c i e s d a t a i n E a s t e r n p a r t o f D r a v a D e p r e s s i o n 8 0 E v a l u a t i o n o f t h e t r e n d s o f h y d r o c a r b o n m i g r a t i o n p r o c e s s e s b a s e d o n o i l d e n s i t y -

r e s e r v o i r d e p t h s r e l a t i o n s h i p i n H u n g a r y 8 8 P a r t I V - G e o s t a t i s t i c s i n w a t e r q u a l i t y p r o t e c t i o n 9 6

D e t e r m i n i n g w a t e r - b o d i e s u s i n g m u l t i v a r i a t e d a t a a n a l y s i s m e t h o d s 9 7 A r e a c t i v e t r a n s p o r t m o d e l o f C O 2 a n d b r i n e i n f l o w t o a f r e s h w a t e r a q u i f e r 9 8

E s t i m a t i o n o f c h l o r o p h y l l - a i n r i v e r s , w i t h t h e e x a m p l e o f t h e R i v e r s D a n u b e a n d T i s z a * 1 0 6 Combined Cluster and Discriminant Analysis on the River Raab's Austrian and Hungarian

s e c t i o n s * 1 1 4

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P a r t V - D a t a a n a l y s i s i n e n g i n e e r i n g g e o l o g y 1 2 2 G e o m a t h e m a t i c a l a s p e c t s o f e n g i n e e r i n g g e o l o g y 1 2 3 S t a t i s t i c a l a n a l y s e s o f s t r e n g t h p a r a m e t e r s a n d a g g r e g a t e p r o p e r t i e s o f a n d e s i t e s f r o m

H u n g a r y * 1 2 4 E v a l u a t i o n o f c u r v e c h a r a c t e r i s t i c s o f s h e a r s t r e n g t h a l o n g d i s c o n t i n u i t i e s u s i n g s t a t e - o f -

t h e - a r t b r e a k p o i n t d e t e c t i o n m e t h o d s * 1 3 2 T h e e f f e c t o f J R C v a l u e o n s h e a r s t r e n g t h a l o n g d i s c o n t i n u i t i e s i n H u n g a r i a n s a n d s t o n e s *

1 4 0

P e r m e a b i l i t y o f r o c k m a s s a r o u n d a r a d i o a c t i v e w a s t e r e p o s i t o r y t u n n e l 1 4 7

P a r t V I - S y s t e m t h e o r y , f u t u r e o f g e o l o g y & g e o i n f o r m a t i c s 1 5 5

T h e q u a l i t a t i v e a s s e s s m e n t o f s t r u c t u r e d s y s t e m s . 1 5 6

T h e 3r d/ 4t h i n d u s t r i a l r e v o l u t i o n - C h a l l e n g e s f o r r e s e a r c h e r s 1 6 0

H o w t o a u t o m a t e a p e t r o p h y s i c a l l a b o r a t o r y ? - c h a l l e n g e s a n d s o l u t i o n s . 1 6 7 A p p l i c a t i o n o f s e m i - a u t o m a t e d G I S p r o c e d u r e f o r r i v e r t e r r a c e d e l i n e a t i o n o n h i g h

r e s o l u t i o n L i D A R d a t a i n S a v a r i v e r v a l l e y N W o f Z a g r e b , C r o a t i a - F i r s t r e s u l t s 1 7 5 A p p l i c a t i o n o f a r t i f i c i a l n e u r a l n e t w o r k s f o r l i t h o f a c i e s d e t e r m i n a t i o n i n a b s e n c e o f

s u f f i c i e n t w e l l d a t a 1 8 3 Q u a r r y S u r v e y i n g a n d A n a l y s i s U s i n g D r o n e - m o u n t e d L i D A R & A u t o C A D C i v i l 3 D 1 9 1

P a r t V I I - D i v e r s e f a c e s o f G e o m a t h e m a t i c s - P o s t e r S e s s i o n 1 9 9 A p p l i c a t i o n o f c l u s t e r v s . d i r e c t i o n a l c l a s s i f i c a t i o n m e t h o d t o i d e n t i f y l i t h o f a c i e s a n d

s e d i m e n t a r y e l e m e n t s . 2 0 0 C o m p a r i s o n o f p a r a m e t r i c a n d n o n - p a r a m e t r i c t i m e - s e r i e s a n a l y s i s m e t h o d s o n a l o n g - t e r m

m e t e o r o l o g i c a l d a t a s e t 2 0 8 V a r i o g r a m a n a l y s i s o f p r e c i p i t a t i o n «$18O a c r o s s t h e I b e r i a n P e n i n s u l a o n m o n t h l y - ,

s e a s o n a l - a n d a n n u a l s c a l e s * 2 1 6 T r e n d s i n c o n t a m i n a n t c o n c e n t r a t i o n t i m e s e r i e s 2 2 4

T h e g e o g r a p h i c a l e v o l u t i o n o f u r b a n g r e e n n e s s i n t h e c i t y o f E r b i l b a s e d o n L a n d s a t

i m a g e r y * 2 3 2 C o m b i n e d C l u s t e r a n d D i s c r i m i n a n t A n a l y s i s , a n e f f i c i e n t t o o l i n t a x o n o m i c a l c l a s s i f i c a t i o n

2 4 0

A n u m e r i c a l m o d e l o f N a - m o n t m o r i l l o n i t e v a l i d a t e d b y b a t c h e x p e r i m e n t s 2 4 1 R e l a t i o n s h i p b e t w e e n g e o t e c h n i c a l p a r a m e t e r s a n d d i s c r e t e f r a c t u r e n e t w o r k s i m u l a t i o n

results in Bátaapáti National Radioactive Waste Repository 2 4 2 D a t a a c q u i s i t i o n , p r e - p r o c e s s i n g o f 3 D i m a g e d a t a o f a r t i f i c i a l l y d i s t o r t e d s k u l l s ,

a r c h e o l o g i c a l a r t e f a c t s , f o s s i l s f o r 3 D g e o m e t r i c m o r p h o m e t r i c a n a l y s i s u s i n g C T a n d l a s e r

s c a n n i n g : a c o m p a r i s o n 2 4 3 P a r t V I I I - G e o m a t h e m a t i c s i n a p p l i e d g e o s c i e n c e s 2 4 4

F a u l t S t a t i s t i c s a n d F r a c t a l G e o m e t r y * 2 4 5 I m a g e p r o c e s s i n g f o r f r a c t a l g e o m e t r y - b a s e d D i s c r e t e F r a c t u r e N e t w o r k m o d e l i n p u t d a t a

2 4 6

Q u a n t i t a t i v e D e t e r m i n a t i o n o f S t a n d a r d S p h e r i c i t y a n d R o u n d n e s s 2 5 4

(9)

D e t e r m i n i n g t h e s u f f i c i e n t n u m b e r o f s t o c h a s t i c r e a l i s a t i o n s t o r e p r e s e n t s p a t i a l u n c e r t a i n t y 2 5 9

S p a t i a l u n c e r t a i n t y q u a n t i f i c a t i o n u s i n g d i s t a n c e - K e r n e l m e t h o d 2 6 0 G e o t h e r m a l p o t e n t i a l e s t i m a t i o n w i t h M o n t e C a r l o m e t h o d 2 6 8 U n c e r t a i n t y o f s u b s u r f a c e u n c e r t a i n t y a n a l y s i s - c a n w e m i t i g a t e i t ? 2 7 5

N o t e : I n g e n e r a l , t h e c o n t e n t o f p r o c e e d i n g s b o o k h a s n o t b e e n p r o o f r e a d b y a n a t i v e E n g l i s h s p e a k e r , a n d t h a t i s w h y s o l e l y t h e a u t h o r s are r e s p o n s i b l e f o r t h e q u a l i t y o f l a n g u a g e usage. H o w e v e r , c e r t a i n c h a p t e r s m a r k e d w i t h '*' h a v e g o n e t h r o u g h E n g l i s h p r o o f r e a d i n g b y M r . P a u l T h a t c h e r , p t . 6 4 @ l i v e . c o . u k .

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