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By N. Champigny

The geostatistical estimation of the reserves of an ore deposit is highly dependent on the quality and stability of the variograms of the sample grades. Gold deposits commonly show a skewed grade distribution. The few high grades at the tail end of the distribution produce unstable variograms that are difficult to model. If these grades are cut to a lower grade value or removed, more stable variograms are obtained. However, outlier grades may make a deposit economically viable, and their cutting or removal should be treated with caution. To reduce (but not to eliminate) the effect of high grades, a transformation of the raw data can be performed. Most commonly used transformations are: logarithm, gaussian anamorphosis, rank and indicator. Variograms of the transformed grades are resistant to high grades and present a clear structure. The weak point of data transformation appears when grades are estimated by kriging; the estimates are very sensitive to slight variations in the parameters of the back-transformation. More robust variogram estimation procedures can also be used, but often these procedures are not suitable for skewed grade distributions as they are based on an assumption of a contaminated normal distribution. The Porgera gold deposit in Papua New Guinea has a highly skewed grade distribution, with grades ranging from 0.01 to 3500 g/t and a coefficient of variation greater than 5. For the geostatistical estimation of the high grade zone of the deposit, the influence of the high grades was quantified by calculating and comparing the following variograms: raw grades, raw grades with the highest grades removed and transformed grades. The study confirmed that there is no general method for handling high grades in a geostatistical reserve study. Several methods should be tried to quantify the influence of high grades.

Jan 1, 1991

By J. M. Mutmansky

Introduction Since the Hardy Cross numerical algorithm was applied to the solution of mine ventilation networks, numerous developments have taken place in ventilation network analysis procedures. The Newton-Raphson method, the linear theory method and the second-order approximation method are three of the additional approaches that have been applied. The efficiency of a ventilation network analysis procedure depends not only on the method of solving the system of equations derived from ventilation networks but also on the method of deriving the equations through selection of the meshes. This paper investigates the impacts of three mesh selection methods on the efficiencies of four ventilation network procedures. The minimum-resistance spanning tree method is the most popular procedure for selecting meshes. The shortest-path method was suggested by Epp and Fowler (1970) for improvement of the Newton-Raphson method. The minimum-resistance-path method is suggested here as the third method of selecting meshes. The effects of these three methods on the Hardy Cross method, the Newton-Raphson method, the linear theory method and the second-order approximation method are analyzed in this paper. These network analysis methods have been summarized in the paper by Kim and Mutmansky (1991). Mesh selection methods A procedure for mine ventilation network solution based on mesh equations typically consists of two steps: • the mesh selection step and • the network solution step. The mesh selection step establishes a set of independent equations to solve the network. The resulting equations are nonlinear. One method of solving nonlinear equations is to linearize the equations and iteratively solve these linear equations. The four analysis methods previously discussed in this paper use this approach. The linear equations required for solution can be written in matrix form as: P•dQ = dF (1) where P is the pseudo-resistance matrix, Q is the quantity matrix, and F is the Jacobian matrix (Kim and Mutmansky, 1991). The efficiency of the solution method depends on the characteristics of the P matrix, which in turn depend on the method of selecting meshes. To understand the impacts of the mesh selection methods on the efficiency of the ventilation network analysis procedures, the characteristics of the P matrix must be understood first. The diagonal elements of the P matrix, m in number, are the sums of the pseudo-resistances of the branches contained in the m meshes necessary for solution. The off-diagonal elements are the sums of the pseudo-resistances of the branches shared by two meshes. For example, P12 (first row, second column element of the P matrix) is the sum of the pseudo-resistances of the branches common to mesh 1 and mesh 2. When solving the system of equations expressed in Eq. (1), three of the iterative procedures (the Newton-Raphson, the linear theory and the second-order approximation methods) use the direct factorization method (Burden and Faires, 1985) on the P matrix. When the direct factorization method is used, the computational efficiency is enhanced by larger diagonal elements and a sparser P matrix. Generally, the sparsity of the P matrix is more important than the size of the diagonal elements. There is no known mathematical method of predicting the efficiency of these procedures, but heuristic methods can be used to study the efficiency. The Hardy Cross algorithm applies the Gauss-Seidel method of splitting the P matrix and applies the Newton-Raphson procedure. The efficiency of the Hardy Cross method depends on the spectral radius of the matrix[[D-L]-1U], where D is the diagonal, L is the lower triangle and U is the upper triangle of the P matrix for the Newton-Raphson method (Ortega, 1972). The smaller the value of the spectral radius, the faster the convergence. As with the other three methods, larger diagonal elements and a sparser matrix aid in faster convergence. With the Hardy Cross method, however, the size of the diagonal elements is more important than the sparsity of the matrix. Remembering that each of the diagonal elements of the P matrix is the sum of the pseudo-resistances of the branches in a mesh and that each off-diagonal element is the sum of the pseudo-resistances of the branches shared by two different meshes, the following strategies can be used: • Avoid having branches with larger resistance values shared by multiple meshes. This increases the size of the diagonal elements and reduces the chance of off-diagonal elements being large.

Jan 1, 1993

By Bruno Sceresini

Prospectors and small scale mmmg companies have long expressed the wish for a highly mobile mineral processing plant. This is especially so in the case of gold mining as relatively small deposits can be highly profitable due to the relative ease of producing a marketable product when compared with the refming and marketing costs incurred with base metals. This paper will concentrate on gold ore treatment in fitting with the theme of the 1996 Randol Gold Forum but the principles may also be applied to base metal ores. The development and application of the Atomaer Filblast Gas Shear Reactor as a cyanidation tool has removed the con­straints of plant size in pulp cyanidation applications. KC Dodd and Associates, Consulting Engineers and Australian Mining Advisers, Pty Ltd, have designed a 1,000,000 and a 250,000 tpa fully modularised ore treatment plant. Various module configu­rations can be arranged to treat a wide variety of ores ranging from simple gold ores to gold-copper and base metal ores. This paper will limit the discussion to comparing the capital and operating costs of a conventional and a modularised 1 million tpa gold treatment employing a number ofnovel concepts which complement the compact, high capacity Filblast Cyanidation Process and the AARL pump Cell Adsorbers. The design described in the paper not only reduces equip­ment sizes and allows for rapid deployment of a sizeable capac­ity plant but also offers significant capital and operating cost benefits.

Jan 1, 1996

By Francis R. McAllister

SYSTEM ENGINEERING Years ago, while attending Harvard's Advanced Management Program, Professor Robert Hayes introduced our class to the, then not-so-familiar, concept of systems engineering. First assignment-dinner at The Benihana of Tokyo Restaurant! Delighted, but a bit mystified with the assignment; we had dinner at Benihana. Back in class, Professor Hayes inquired about the assignment and persuaded us; that Rocky Aoki's business formula for Benihana was not necessarily Japanese cuisine, but rather the systematic way in which he moves more people-if you will, processes more people through his restaurants than his competition, by systematically linking all restaurant functions. For instance, the bar is a holding area in which patrons ideally wait no more, or no less, than 20 minutes. When seated, your table, which accommodates eight, is filled with eight even if you are a party of two. The Japanese chef is also the entertainment, and when, at the end, he cleans the grill, you are being subtly prompted that dinner is over. The bill accompanies ice cream, systematically delivered shortly thereafter. You are expected to pay promptly and depart, as there are eight more, mostly unacquainted, people who have waited 20 minutes in the bar, and who are assembled ready to be seated at your table. For me-this was electrifying. I understood the concept, concluded it was very powerful and felt prepared to conquer whatever, by means of its application. That was years ago and I can safely say I have yet to fully realize on the euphoria of that moment. Why? Well, I simply conclude: • The concept of systems engineering is simple and not revolutionary, but The application of systems engineering is far from simple and is revolutionary.

Jan 1, 2004

When exploration shows a mineral deposit to be of importance, the subsequent work of defining the limits or boundaries of the ore body and preparing it for the extraction of the mineral is termed development (Young, 1946). In underground mining, development also connotes the work that is involved in opening up a deposit preparatory to stoping or productive operations. In this section, mine development is defined to include all studies and operations that will enable a sound evaluation of an explored ore body from the technical and financial standpoints. Though the ultimate objective of all mine development activities is the same, the scope and detail of these activities vary depending on the type of ore body (e.g., flat bodies, lenses and sheets, massive deposits, narrow veins, and bedded deposits), and the method of working the deposit (e.g., under- ground or surface methods or a combination of both of the methods). Therefore, the various contributions in section 3 address such topics as long-range planning, feasibility studies, and valuation for many types of ore bodies and different mining methods. This introductory review is divided into three major parts. In the first part, long-range planning aspects are briefly discussed with .an emphasis on current trends that affect mine planning. In the second part, an overview is provided of the contents in the mine development and valuation section. In the last part, remarks are made on the status, scope, and future of quantitative and computer methods in mine planning and development.

Jan 1, 1979

By Hugh W. Rimmer

The design of comminution circuits and the evaluation of alternatives should be based on state-of-the-art equipment and appropriate design criteria - considerations that are often neglected by today's designers. This paper critically reviews common circuit designs, evaluates various alternatives for difficult-to-treat ores, and discusses the factors that should be considered when developing new plant designs or auditing existing plant performance. Data obtained from laboratory, pilot and plant-scale test work on a wide range of ores and circuits are used to justify the author's conclusions.

Jan 1, 1995

By Julián Ortiz C., Clayton V. Deutsch

Indicator simulation allows specification of different continuity of high and low values through the use of grade thresholds. The sequential implementation of indicator simulation has been widely used, but the problem of order relation deviations remains a significant drawback. A new procedure for "Hierarchical Indicator Simulation" is introduced that avoids order relations and offers greater flexibility than the conventional sequential approach. The new implementation simulates all locations at the largest threshold and then considers decreasing thresholds in turn. All nodes with grades that are above the previous threshold are excluded from the domain of the current threshold and therefore, they are not used as conditioning data. The probability of being above or below the threshold is calculated using simple indicator kriging using all conditioning data in the domain, thus the covariance structure is preserved. The theoretical framework of this new approach is fully developed. Practical implementation details are discussed. Application to a copper deposit shows the advantages and drawbacks of the method. Finally, the possibility of incorporating multiple-point statistics is discussed.

Jan 1, 2002

By M. J. Gregory

The Pebble Cu-Au-Mo deposit in southwest Alaska is one of the world's largest porphyry deposits. The western part of the deposit was discovered by Cominco America in 1987, who sold the project to Northern Dynasty Minerals Ltd., in 2001. Northern Dynasty discovered the high-grade eastern part of the deposit in 2004 and went into a 50:50 partnership with Anglo American PLC in 2007, forming the Pebble Limited Partnership (Lang et al., 2008). The Pebble Limited Partnership has continued to delineate the deposit through diamond drilling with the most recent resource estimate released in February 2010 (Pebble Limited Partnership, 2010). The Pebble deposit mineral resources comprise 5.94 billion tonnes of measured and indicated resources grading 0.78% Cu EQ, containing 55 billion pounds of copper, 67 million ounces of gold and 3.3 billion pounds of molybdenum. Also delineated are 4.84 billion tonnes of inferred mineral resources grading 0.53% Cu EQ, containing 25.6 billion pounds of copper, 40.4 million ounces of gold and 2.3 billion pounds of molybdenum (Pebble Limited Partnership, 2010). Resources are calculated using a 0.3% Cu EQ cutoff. GEOLOGY AND MINERALIZATION Deposit Geology The Pebble deposit is located in the Kahiltna terrane, between terminal strands of the north-east-striking Lake Clarke strike-slip fault. This fault represents an accretionary boundary and separates the Kahiltna terrane to the north-west from the Peninsular terrane to the south-east (Lang et al., 2008). The Pebble deposit represents a large magmatic-hydrothermal system centered on a group of 90 million year old porphyritic hornblende granodiorite intrusions. An east-west cross section through the southern part of the deposit (Figure 1A) shows the typical relationships between the various rock units which host sulfide mineralization. Sub-parallel ~96 million year old granodiorite and diorite sills were intruded into siltstones of the Jura-Cretaceous Kahiltna flysch. In the west, these sills were cut by a ~96 million year old alkalic intrusive complex composed of porphyritic monzonites and monzodiorites and related intrusion breccias (Bouley et al, 1995). The mineralized 90 million year old hornblende granodiorite intrusions cut all rock types and comprise four small stocks in the western part of the deposit and a larger pluton in the eastern part of the deposit. Recent deep drilling indicates that these intrusions coalesce at depth. The strongest porphyry-style mineralization is centered on the eastern granodiorite pluton and extends into the surrounding rock units (Figure 1A). The western half of the deposit crops out at surface, whereas the eastern side is un-conformably overlain by a cover sequence of Late Cretaceous to Eocene sedimentary and volcanic strata. The deposit was tilted 20º to the east during the Eocene.

Jan 1, 2012

By W. L. Hollinshead, Alwin Poltinger

GENERAL Tunneling by hand digging is as old as the history of humans. Mechanized tunneling did not begin to replace manual methods until around the beginning of the 19th century(Brunel patent, 1818). It brought with it a higher degree of safety for the workers and a much higher rate of boring. But for any kind of tunneling, an accurate and feasible method of survey must be accomplished during mining. That means, that for each tunnel project the most efficient survey method must be devised. The method to be defined depends on the spatial curve, diameter, speed of tunneling method, purpose of tunnel and contractual accuracy. The final accuracy of a finished tunnel is heavily dependent upon three critical elements: 1. Quality of the above ground survey 2. Tunnel traverse and directional transfer from above ground 3. Guidance for the mining job. Combining The Survey And The Guidance System Since the guidance system (GS) is one of the critical factors in the determination of the tunnel final accuracy, it is necessary to analyze how the directional control and tunnel traverse measurements can be effectively integrated into a GS. Any guidance system, whether manual or high technology, must continually detect and compensate for movement of its theodoliteor laser station standpoint. Movement beyond a preset allowable amount must generate a warning or error message to the user. Additionally, optical refraction can interfere with the results. Refraction will have an effect on any kind of optical GS. Therefore, careful selection of target and standpoint locations can minimize, but not completely eliminate, the influence of refraction. Some GS technologies, such as Gyro-based systems, are immune to the effects of refraction, but have other, methodical errors which will be described later in this paper. GUIDANCE Overview Why is a guidance system necessary? A GS, whether manual or automatic, compares the design direction and slope of a tunnel with the current position of the mining

Jan 1, 1997

By David E. Sims

Asarco has been using computer-aided open-pit mine design since 1966. The in-house developed program package includes drill-hole analysis programs, interpolation routines, and three-dimensional open-pit design programs. The financial analysis step after pit design required that a reasonably accurate schedule be produced so that a good cash flow model could assess the feasibility of a project. The manual method of scheduling was too time-consuming for feasibility work, so a computerized scheduler was required. Since no computerized mine scheduling programs existed, we requested proposals from consulting firms to develop such a program. The selection of a consulting firm, the formulation of the contract and design specifications required about three years to accomplish. The consulting firm, Systems Control Inc. (SCI), of Palo Alto, spent over one year doing the programming and testing alone. The details of the program development were reported in "Computerized Year-by-Year Open-Pit Mine Scheduling," SME-AIME Transactions, December 1974. In June of 1973 the program, which SCI dubbed Optimum Resource Extraction or ORE, was installed. Version 1 of ORE was utilized successfully on three separate properties over a period of two years. During this time it became obvious that some of the original design specifications were restrictive, and certain modifications were required. The ORE program was submitted for modification, and after one year version 2 was operational in May of 1976. The program now consists of approximately 20,000 lines of FORTRAN source statements grouped into 190 subprograms, and runs in a 450K region of Asarco's 370/148 in Cranford, NJ. The Tucson com¬puter (370/115) is tied to the Cranford computer via a 9600 baud leased T.P. line, for running mine scheduling and other large mine planning programs.

Jan 1, 1979

By Adrian C. Dorenfeld, John T. Oleksy

John D. Maefadyen Subject paper unfortunately has some serious flaws negating the usefulness of the paper. The authors claim that sulfur is the major source of production problems in cement kilns. This is not the case. Sulfur is not a problem as long as the mole ratio of sulfur to alkali oxides is less than, or equal to, 1. This is attributed to the sulfur preferentially combining with the alkali oxides and not acting as a clogging agent due to the nature of the pre-heater vessels. Where the mole ratio exceeds 1, many methods are available to eliminate or reduce the clogging problems such as using the preheater bypass or a precalciner with up to 100% kiln gas bypass. In non-preheater kilns, the presence of sulfates is hardly ever a problem anyhow. Thus, the level of sulfur in the fuel and raw material that might cause problems is not a fixed amount, but is predictable. The purpose of the paper is to discuss the economics of conversion of kilns in the Indonesian and Phillippine cement industries from oil firing to coal firing. This economic analysis has very little to do with the sulfur levels. Thus, the section of the paper on sulfates is actually rather meaningless. The economic analysis is also rather meaningless because the authors have failed to follow accepted economic analysis procedures by including interest charges. They have fallen into the trap of confusing financing with economic evaluation. When the accepted methods of economic evaluation are used, the return on investment increases to about 35%. In conclusion, the paper is not a meaningful contribution, and sadly, quite erroneous.

Jan 11, 1982

By Ross W. Smith, Xiapeng Zheng, Peggy J. Arps

The adhesion (and de-adhesion) of Bacillus subtilis to dolomite was determined under a number of conditions of initial concentration of the organism, agitation, mineral particle size and temperature. Rate equations curves for both adhesion and de-adhesion were constructed, with the rates of de-adhesion being about half that of adhesion. From the temperature data the energy of adhesion was determined to be about 1.02 kcal/mol. Adhesion of dolomite to B. subtilis follows a Langmuir isotherm. Equilibrium constants, adhesion capacity and Gibbs free energy of adhesion of B. subtilis to dolomite (at pH 6.6) were determined. These values were compared to similar data for adhesion of B. subtilis to apatite and dolomite.

Jan 1, 2002

By G. Kosick, G. Dobby

CEET, an acronym for Comminution Economic Evaluation Tool, was jointly developed by MinnovEX Technologies Inc. and 13 major mining companies for the purpose of designing and predicting the performance of grinding circuits. It fundamentally differs from other methods by using as its’ data set a geostatistically significant population of hardness data distributed across the mine block model. Historically the characterization of an orebody for the purpose of either designing a grinding circuit or predicting the performance of an existing circuit has been done with a relatively limited number of discrete samples. In addition to power selection, shell sizing, and costing for multiple circuit options, CEET also outputs tons per hour, P80, and operating cost on every mining block for subsequent integration back into the block model. This paper will provide an overview of what CEET is and how it works.

Jan 1, 2001

By Luiz Roberto Amaral, Peter Frobenius

Construction of the first phase of the Sao Paulo Metro, the North-South Line, will be completed late in 1974. The downtown section of this line consists of 2.2 miles of 19.6-foot diameter soft ground tunnels and 3 subway stations. The entire tunnel - station package was let to one contractor. A plan and profile of the tunnels and stations is shown on Figure 1. Passage of the tunnels under Boa Vista Street in the Sao Paulo Financial District was one of the major challenges. The street is only 50 feet wide from building line to building line and flanked by 10 to 20 story buildings. The tunnels pass within 4 feet of adjacent footings. Further south, the tunnels run 13 feet below the flat foundations of the Caixa Economica, a massive 11 to 14 story building. Surface settlement had to he limited to less than .07 feet/tunnel and good face control and grouting procedures were essential. For this reason, full face cutting wheel tunneling machines were selected to drive the tunnels south of the Access Shaft Prestes Maia which included Boa Vista Street and the Caixa Economica. The tunnels north of the Access Shaft Prestes Maia were driven under a fairly wide Avenue and greater settlements were permitted. Open face shields were selected to drive these tunnels. Most of the work has now been completed and analyzed. Here are some of the results - Careful planning and execution of tunneling procedures kept surface settlement over the tunnels below a magnitude of .05 feet, allowing tunneling adjacent

Jan 1, 1974

By Gary Jobson

The Mt Todd Gold Mine is owned and operated by Zapopan NL, and is located 300km south of Darwin near the town of Katherine. The crushing plant and heap leach facility, which has operated since November 1993, has recently been expanded to treat 6 Mtpa with 1995 budget gold production reaching 120,000 oz from a head grade of 1.12 git. The process flowsheet and equipment are described, with innovative key features including:

Jan 1, 1995

By Thomas J. Lien

AMAX Coal Company has constructed the first commercial demonstration sub-bituminous coal dryer at its Belle Ayr Mine south of Gillette, Wyoming. This 215 ton per hour facility is projected to produce 165 tons per hour of dried coal at 10 percent moisture and 10,800 Btulpound (6,000 KCIkg). Approximately 43 tons per hour of water will be removed from the coal and seven tons per hour of coal burned as fuel.

Jan 1, 1989

By G. Orhan, C. Arslan

The possibility of producing metallic chromium from Cr2O3 via the aluminothermic route, with no external energy supply, was the subject of this laboratory-scale research. The experimental study focused on investigating the individual effects and quantitative optimization of the charge contents, i.e., the additions of CrO3, Al powder and CaO (or BaO). The highest chromium recovery of 98% was attained with the additions of 12% CrO3 and 1.2 times the stoichiometrically required amount of Al powder. The optimum CaO addition giving the highest chromium recovery was found when the CaO/Al weight ratio in the charge was equal to 0.3. When BaO was used, however, 95% Cr extraction efficiency was obtained at a BaO/Al weight ratio of 0.15.

Jan 1, 2000

By S. W. Kan, M. G. Kakarkis, J. Zelanco

Grouting has been used in underground mining for more than 20 years. Chemical grouting is often used as a remedial measure when the implemented ground-control program is unable to completely prevent structural failures or when there is a need for preventing a structural member from unraveling. The utilization of polyurethane grout is restricted by its limited range of physical and mechanical properties. To overcome some of the drawbacks of polyurethane, research is being conducted on a newly developed polyester based grout. The polyester resin, identified by Sandvik as Strata Grip, provides a number of features, including variable gel times and a much-reduced chemical hazard. Equally important are the mechanical properties of the product. The strength and deformability of any chemical grout must be compatible with the intended purpose of grouting and the expected deformation of the rock that is to be grouted The assessment of the mechanical properties of polyester grout is the focus of this work. Field experiences and laboratory research defined the properties of an effective grouting material. Experimental results indicate that the polyester grout meets or exceeds the recommended properties for many injection applications. Furthermore, the results suggest that the ability to adjust mechanical properties via resin formulation has the potential to expand the applicability of chemical grouting in ground control.

Jan 1, 1999

By M. Misra

Jan 1, 1992

By David W. Cannon, Russell V. Mann

In a dispersion of particles in liquid a net charge will develop at the particle-liquid interface. This surface charge is usually due to the adsorption of charged material from solution. The existence of this surface charge gives rise to the formation of the electric double layer of counter-ions which surrond the charged particle. The particle surface charge and the electrostatic repulsion which exists between similarly charged particles is the primary stabilization mechanism for lyophobic colloids (1). The separation of charge which occurs at the particle-liquid interface gives rise to several dynamic phenomena associated with colloidal systems or with solid-liquid interfaces in general. These phenomena are known as electrokinetic phenomena and the four classic electrokinetic phenomena are; electrophoresis, electroosmosis, streaming potential, and sedimentation or Dorn potential. The actual driving force for electrokinetic phenomena is not the surface charge per se, but the charge at the interface between the liquid which is hydrodynamically bound to the particle surface and the bulk fluid. This interface is known as the slipping plane or the plane of shear and the potential at this interface is the zeta potential (2). The factors linking the electrokinetic phenomena is that they involve a relative motion between the liquid and the charged particle or solid surface and the driving force is the zeta potential of the solid. In addition to the four classic electrokinetic phenomena there are two additional electrokinetic effects in disperse systems; the electro-acoustic effects. When an alternating electric field is applied to a cooloidal dispersion the particles will move in the field due to their net zeta potential. If there is a density difference between the particles and the fluid this motion will result in the development of an acoustic wave. The effect was discovered at Matec and has been termed the Electrokinetic Sonic Amplitude or ESA (3). ESA is the pressure amplitude generated by the colloid per unit applied electric field strength and has SI units of pascals per volt per meter. When an alternating pressure field (acoustic wave) is applied to a colloidal dispersion the inverse of the ESA effects occurs. A density difference between the disperse phase and the continuous phase leads to a relative motion between the particles and the surrounding liquid. This means that there will be a periodic displacement between the charged particle and the oppositely charged counter-ions in the electric double year. This displacement results in the development of an alternating dipole moment at the frequency of the applied field. This effect is termed the Ultrasonic Vibration Potential or UVP and was first predicted for electrolyte solutions by Debye in 1933 (4). UVP is measured in units of volts per unit velocity amplitude of the applied acoustic field or volts per meter per second. In 1938, Rutgers (5) and Hermans (6) pointed out that the effect would also be present in colloidal dispersions. A detailed theory for UVP effects in colloids, also called CVP, was first presented by Enderby in 1951 (7). Extensive studies of the UVP in electrolytes have been carried out by Yeager et al (8). Recently, O'Brien (9) has developed a general theoretical treatment of electro- acoustic effects in colloids and has derived a reciprocal relation linking ESA and CVP effects. The most commonly studied electrokinetic phenomena is electrophoresis. Electrophoresis is the movement of charges particles in an applied electric field. The velocity of the particle divided by the applied electric field strength is the electrophoretic mobility of the particle. The zeta potential can be calculated from this mobility (2). The magnitude of both the ESA and CVP effects are directly proportional to the electrophoretic mobility of the particles. The mobility determined by the two electro-acoustic effects is the dynamic or AC mobility of the particles.

Jan 1, 1990