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this is a spreadsheet for analytic calculation of shot migration angle gathers in a homogenous wr... more this is a spreadsheet for analytic calculation of shot migration angle gathers in a homogenous wrong velocity model
Papers by diederik van daalen
69th EAGE Conference and Exhibition incorporating SPE EUROPEC 2007, 2007
P052 Velocity Updating with Wavefield-Based Residual Moveout QC A.B. Droujinine* (Shell Internati... more P052 Velocity Updating with Wavefield-Based Residual Moveout QC A.B. Droujinine* (Shell International Exploration & Production BV) F. Kuiper (Shell International Exploration & Production BV) P. Milcik (Shell International Exploration & Production BV) & D. van Daalen (Shell International Exploration & Production BV) SUMMARY We have developed an inexpensive wavefield-based technique for automatic QC analysis of residual moveout (RMO) on common image gathers and dip attributes within the context of tomographic velocity updating. The crucial step is the unified Born-Kirchhoff demigration of RMO picks followed by thresholding of migrated amplitudes as predicted by Kirchhoff migration of the demigrated wavefield. Local coherency
Summary This note presents a self-contained introduction into Automath, a formal definition and a... more Summary This note presents a self-contained introduction into Automath, a formal definition and an overview of the language theory. Thus it can serve as an introduction to the papers [van Benthem Jutting 73] and [ Zandleven 73 (E.1) ]. Among the various Automath languages this paper concentrates on the original version AUT-68 (because of its relative simplicity) and one extension AUT-QE (in which most texts have been written thus far). The contents are: 1 Introductory remarks. 2 Informal description of AUT-68. 3 Mathematics in Automath: propositions and types. 4 Extension of AUT-68 to AUT-QE. 5 A formal definition of AUT-QE. 6 Some remarks on language theory.
Studies in logic and the foundations of mathematics, 1994
Publisher Summary This chapter discusses the language theory of Automath. There are two languages... more Publisher Summary This chapter discusses the language theory of Automath. There are two languages of the Automath family that have been developed for practical purposes and have been applied in extensive formalization projects namely, AUT–QE and AUT–П. AUT–П is a first–order extended, regular, generalized typed λ–calculus system. AUT–П is invented for the formalization of classical analysis and the related topics. This chapter discusses the theory of AUT–П. The language AUT–П is named after the П of product formation. Both languages have much in common and, AUT–QE can be considered a sublanguage of AUT–П. It is a non–arithmetical system which has no recursion constant with the corresponding reduction. The additional kinds of terms are: “pairs”, “projections”, “injections i 1 and i 2 ,” and “functions.” The Σ, the pairs and the projections of AUT–П may provide the interpretation of strong existential quantification with its introduction and elimination rules. AUT–П is non–arithmetica...
SEG Technical Program Expanded Abstracts 2015, 2015
SEG Technical Program Expanded Abstracts 2011, 2011
Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving st... more Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving stars on a sphere. The fixed RGC poles are shown to be responsible for the unexpected regularity of sphere reconstruction. Overconstraining appears to be harmless when combined with external iterations, so both the solution with and without 6 explicit constraints are permitted.
[The articles of this volume will not be reviewed individually.] AUTOMATH is a language developed... more [The articles of this volume will not be reviewed individually.] AUTOMATH is a language developed in 1967-1968 at the Eindhoven University of Technology, The Netherlands, as a suitable language to express large parts of mathematics in such a way that the correctness of the mathematical contents is guaranteed by its grammar rules. The papers selected to be presented in the book are grouped according to six major topics: motivation and exposition, language definition and special related subjects, theory, illustrative test examples, verification and other related works; inside each of these parts the papers are ordered mainly chronologically. Besides historical considerations and the description of the general framework of AUTOMATH, some relationships between typed lambda calculus and a series of fundamental concepts in higher programming languages are pointed out in the first part of the book. Next, some detailed formalized descriptions of several versions of AUTOMATH and their corres...
SEG Technical Program Expanded Abstracts 2008, 2008
Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving st... more Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving stars on a sphere. The fixed RGC poles are shown to be responsible for the unexpected regularity of sphere reconstruction. Overconstraining appears to be harmless when combined with external iterations, so both the solution with and without 6 explicit constraints are permitted.
SEG Technical Program Expanded Abstracts 2008, 2008
Seg Technical Program Expanded Abstracts, 2008
SEG Technical Program Expanded Abstracts 2015, 2015
SEG Technical Program Expanded Abstracts 2011, 2011
Links between the Hipparcos mission and geodesy are identified, and the geodetic impact of the Hi... more Links between the Hipparcos mission and geodesy are identified, and the geodetic impact of the Hipparcos results on the unification of reference systems is discussed. The possibility that Hipparcos results could stop the trend toward replacing the use of astronomical techniques in geodetic and geodynamical work with other methods is considered. Geometric aspects of the data reduction process are addressed, including the three-step procedure of Lindegren (1979), estimability on the sphere, proper motions, and parallaxes. Computational aspects of reduction on circles are discussed.
The angles measured by the HIPPARCOS main grid are determined up to an integer number of grid per... more The angles measured by the HIPPARCOS main grid are determined up to an integer number of grid periods, to be estimated on the basis of a priori attitude and star positions. Observations with a wrongly estimated grid step number can give rise to a grid step inconsistency which should be removed during reduction on circles. The nature and the distribution of grid step inconsistencies are discussed. Two methods to correct inconsistencies - pre- and post-adjustment - are discussed, and simulation results are presented.
this is a spreadsheet for analytic calculation of shot migration angle gathers in a homogenous wr... more this is a spreadsheet for analytic calculation of shot migration angle gathers in a homogenous wrong velocity model
69th EAGE Conference and Exhibition incorporating SPE EUROPEC 2007, 2007
P052 Velocity Updating with Wavefield-Based Residual Moveout QC A.B. Droujinine* (Shell Internati... more P052 Velocity Updating with Wavefield-Based Residual Moveout QC A.B. Droujinine* (Shell International Exploration & Production BV) F. Kuiper (Shell International Exploration & Production BV) P. Milcik (Shell International Exploration & Production BV) & D. van Daalen (Shell International Exploration & Production BV) SUMMARY We have developed an inexpensive wavefield-based technique for automatic QC analysis of residual moveout (RMO) on common image gathers and dip attributes within the context of tomographic velocity updating. The crucial step is the unified Born-Kirchhoff demigration of RMO picks followed by thresholding of migrated amplitudes as predicted by Kirchhoff migration of the demigrated wavefield. Local coherency
Summary This note presents a self-contained introduction into Automath, a formal definition and a... more Summary This note presents a self-contained introduction into Automath, a formal definition and an overview of the language theory. Thus it can serve as an introduction to the papers [van Benthem Jutting 73] and [ Zandleven 73 (E.1) ]. Among the various Automath languages this paper concentrates on the original version AUT-68 (because of its relative simplicity) and one extension AUT-QE (in which most texts have been written thus far). The contents are: 1 Introductory remarks. 2 Informal description of AUT-68. 3 Mathematics in Automath: propositions and types. 4 Extension of AUT-68 to AUT-QE. 5 A formal definition of AUT-QE. 6 Some remarks on language theory.
Studies in logic and the foundations of mathematics, 1994
Publisher Summary This chapter discusses the language theory of Automath. There are two languages... more Publisher Summary This chapter discusses the language theory of Automath. There are two languages of the Automath family that have been developed for practical purposes and have been applied in extensive formalization projects namely, AUT–QE and AUT–П. AUT–П is a first–order extended, regular, generalized typed λ–calculus system. AUT–П is invented for the formalization of classical analysis and the related topics. This chapter discusses the theory of AUT–П. The language AUT–П is named after the П of product formation. Both languages have much in common and, AUT–QE can be considered a sublanguage of AUT–П. It is a non–arithmetical system which has no recursion constant with the corresponding reduction. The additional kinds of terms are: “pairs”, “projections”, “injections i 1 and i 2 ,” and “functions.” The Σ, the pairs and the projections of AUT–П may provide the interpretation of strong existential quantification with its introduction and elimination rules. AUT–П is non–arithmetica...
SEG Technical Program Expanded Abstracts 2015, 2015
SEG Technical Program Expanded Abstracts 2011, 2011
Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving st... more Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving stars on a sphere. The fixed RGC poles are shown to be responsible for the unexpected regularity of sphere reconstruction. Overconstraining appears to be harmless when combined with external iterations, so both the solution with and without 6 explicit constraints are permitted.
[The articles of this volume will not be reviewed individually.] AUTOMATH is a language developed... more [The articles of this volume will not be reviewed individually.] AUTOMATH is a language developed in 1967-1968 at the Eindhoven University of Technology, The Netherlands, as a suitable language to express large parts of mathematics in such a way that the correctness of the mathematical contents is guaranteed by its grammar rules. The papers selected to be presented in the book are grouped according to six major topics: motivation and exposition, language definition and special related subjects, theory, illustrative test examples, verification and other related works; inside each of these parts the papers are ordered mainly chronologically. Besides historical considerations and the description of the general framework of AUTOMATH, some relationships between typed lambda calculus and a series of fundamental concepts in higher programming languages are pointed out in the first part of the book. Next, some detailed formalized descriptions of several versions of AUTOMATH and their corres...
SEG Technical Program Expanded Abstracts 2008, 2008
Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving st... more Rank defects and their solutions are discussed, in particular for the Hipparcos case of moving stars on a sphere. The fixed RGC poles are shown to be responsible for the unexpected regularity of sphere reconstruction. Overconstraining appears to be harmless when combined with external iterations, so both the solution with and without 6 explicit constraints are permitted.
SEG Technical Program Expanded Abstracts 2008, 2008
Seg Technical Program Expanded Abstracts, 2008
SEG Technical Program Expanded Abstracts 2015, 2015
SEG Technical Program Expanded Abstracts 2011, 2011
Links between the Hipparcos mission and geodesy are identified, and the geodetic impact of the Hi... more Links between the Hipparcos mission and geodesy are identified, and the geodetic impact of the Hipparcos results on the unification of reference systems is discussed. The possibility that Hipparcos results could stop the trend toward replacing the use of astronomical techniques in geodetic and geodynamical work with other methods is considered. Geometric aspects of the data reduction process are addressed, including the three-step procedure of Lindegren (1979), estimability on the sphere, proper motions, and parallaxes. Computational aspects of reduction on circles are discussed.
The angles measured by the HIPPARCOS main grid are determined up to an integer number of grid per... more The angles measured by the HIPPARCOS main grid are determined up to an integer number of grid periods, to be estimated on the basis of a priori attitude and star positions. Observations with a wrongly estimated grid step number can give rise to a grid step inconsistency which should be removed during reduction on circles. The nature and the distribution of grid step inconsistencies are discussed. Two methods to correct inconsistencies - pre- and post-adjustment - are discussed, and simulation results are presented.
This paper surveys the progress made in the FAST consortium on the reduction on great circles sin... more This paper surveys the progress made in the FAST consortium on the reduction on great circles since the Asiago Thinkshop. Results of studies on the following topics are presented: apparent and geometric positions; attitude representations; grid coordinate and field coordinates; smoothing and adjustment organization; variance computation; reordering of star unknowns. Then the results of a real scale simulation experiment are shown.